q, $$\pi(x;q,a) \leq \frac{2}{1-\theta}\frac{x}{\phi(x)\log{x}}$$ where $\pi(x;q,a)$ denotes the set of primes less than x … MathSciNet Google Scholar Download references. Gives an account of Brun's sieve. + This page was last edited on 19 December 2014, at 21:25. 20 In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. 8. EMBED. Chen’s theorem [Che73], namely that there are infinitely many primes p such that p+2 is a product of at most two primes, is another indication of the power of sieve methods. Our result produces an improvement for the best unconditional bounds toward two conjectures of Lang and Trotter regarding the distribution of … The main new ingredient is an explicit counting result estimating the number of integral elements with certain properties up to multiplication by units. Suggest a Subject Subjects. Advanced embedding details, examples, and help! To state these results, we let % be a non-negative constant with the property that for any =>0, there exists ’=’(=)>0 such that: l˛L /(l)R A large number of the applications stem from the sieve's ability to give good upper bounds and as demonstrated by Brun, they give upper bounds of the expected order of magnitude. In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. C. Hooley, On the Brun-Titchmarsh theorem, J. reine angew. \pi(x;a,q) = \frac{x}{\phi(q)\log(x)} \left({1 + O\left(\frac{1}{\log x}\right)}\right) x A large number of the applications stem from the sieve's ability to give good upper bounds and as demonstrated by Brun, they give upper bounds of the expected order of magnitude. Affiliations. Indeed, Titchmarsh proved such a theorem for q = 1, with a LogLog(N/q) term instead of the 2 above, to establish the asymptotics for a PDF | On Jan 1, 2008, Olivier Ramare and others published Improving on the Brun-Titchmarsh Theorem | Find, read and cite all the research you need on ResearchGate We improve the Chebotarev variant of the Brun-Titchmarsh theorem proven by Lagarias, Montgomery, and Odlyzko using the log-free zero density estimate and zero repulsion phenomenon for Hecke L-functions that were recently proved by the authors. 03, Issue. Contact & Support. Let There exists an N0 such that for all N ≥ N0 and all M ≥ 1 we have π(M + N)− π(M) ≤ 2N LogN +3.53. The author expresses his gratitude to Professor Christopher Hooley for several stimulating discussions and fruitful suggestions. The proof is set up as an application of Selberg's Sieve in number fields. Conf. 95–123 [a5] Yu.V. Brun's theorem; Brun-Titchmarsh theorem; Brun sieve; Sieve theory; References Other sources. Shiu P, A Brun—Titchmarsh theorem for multiplicative functions,J. For a good account of the Rosser Iwaniec sieve and the Brun Titchmarsh theorem, see the monograph of Motohashi [17]. This bound generalizes the Brun–Titchmarsh bound on the number of primes in an arithmetic progression. 1 CROOT, ERNIE 2007. 2. , Multiplicative number theory 11N13 Primes in progressions 11N37 Asymptotic results on arithmetic functions. the Brun-Titchmarsh theorem for short intervals are stated without proofs in the last Section 6. for all $q < x$. Tools. By contrast, Dirichlet's theorem on arithmetic progressions gives an asymptotic result, which may be expressed in the form. He used a bilinear structure in the error term in the Selberg sieve, discovered by himself. Japan, 34 (1982) pp. This chapter discusses the Brun-Titchmarsh theorem. You must be logged in to add subjects. $$ Publisher Summary This chapter discusses the Brun-Titchmarsh theorem. Different authors have provided different estimates for C in different ranges for logx/logq, all of which give C>2 when logx/logq is bounded. Using analytic methods of the theory of $L$-functions [a8], one can show that the asymptotic formula (Dirichlet's theorem on arithmetic progressions) MathSciNet zbMATH CrossRef Google Scholar [20] C. Hooley, On the largest prime factor of p+a, Mathematika 20 (1973), 135–143. The result was proven by sieve methods by Montgomery and Vaughan; an earlier result of Brun and Titchmarsh obtained a weaker version of this inequality with an additional multiplicative factor of (*) (Improved Brun-Titchmarsh Theorem- A consequence)Supposethatonecan prove a version of the Brun-Titchmarsh theorem in which the constant 2 (on the right side in the inequality of problem 2) is replaced with 1.99. On Some Improvements of the Brun-Titchmarsh Theorem. {\displaystyle 1+o(1)} Riemann hypotheses) is not capable of providing any information for $q > x^{1/2}$. $$ 7. Dirichlet's theorem on arithmetic progressions, https://encyclopediaofmath.org/index.php?title=Brun-Titchmarsh_theorem&oldid=35728, E. Fouvry, "Théorème de Brun–Titchmarsh: application au théorème de Fermat", H. Halberstam, H.E. The proof is set up as an application of Selberg’s Sieve in number fields. for all .The result is proved by sieve methods.By contrast, Dirichlet's theorem on arithmetic progressions gives an asymptotic result, which may be expressed in the form Richert, "Sieve methods" , Acad. Publication: arXiv e-prints. H. Halberstam and H. E. Richert, Sieve methods, Academic Press (1974) ISBN 0-12-318250-6. 1 @article{JamesMaynard2013, abstract = {The Brun-Titchmarsh theorem shows that the number of primes which are less than x and congruent to a modulo q is less than (C+o(1))x/(ϕ(q)logx) for some value C depending on logx/logq. Montgomery, R.C. Later this idea of exploiting structures in sieving errors developed into a major method in Analytic Number Theory, due to H. Iwaniec's extension to combinatorial sieve. Tools. www.springer.com We improve the Chebotarev variant of the Brun-Titchmarsh theorem proven by Lagarias, Montgomery, and Odlyzko using the log-free zero density estimate and zero Dirichlet's theorem on arithmetic progressions, https://en.wikipedia.org/w/index.php?title=Brun–Titchmarsh_theorem&oldid=968626250, Creative Commons Attribution-ShareAlike License, This page was last edited on 20 July 2020, at 14:43. SMOOTH NUMBERS IN SHORT INTERVALS.International Journal of Number Theory, Vol. ) {\displaystyle q\leq x^{9/20}} It is desirable to extend the validity range for $q$ of this formula, in view of its applications to classical problems. 9 A CHEBOTAREV VARIANT OF THE BRUN-TITCHMARSH THEOREM AND BOUNDS FOR THE LANG-TROTTER CONJECTURES JESSE THORNER AND ASIF ZAMAN Abstract. IntroductionThe main result of this paper is the following Theorem: Such theorems have been termed "Brun-Titchmarsh" Theorem by Linnik in [4]. 311 (1980) 161–170. Press (1976) ISBN 0-521-20915-3, H. Iwaniec, "On the Brun–Titchmarsh theorem", Yu.V. ( By a sophisticated argument, [a6], one finds that Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. ≤ EMBED (for wordpress.com hosted blogs and archive.org item tags) Want more? IV Motohashi, Yoichi; Abstract. ( 16, 4991{5027. Indeed, Titchmarsh proved such a theorem for q = 1, with a Log Log(N/q) term instead of the 2 above, to establish the asymptotic for the number of divisors of the p + 1, p ranging through the primes; he used the method of Brun. The main new ingredient is an explicit counting result estimating the number of integral elements with certain properties up to multiplication by units. The Brun-Titchmarsh theorem and the extremely powerful result of Bombieri are two important examples. q On the Brun-Titchmarsh Theorem Item Preview remove-circle Share or Embed This Item. 3. Add To MetaCart. Journal of the Mathematical Society of Japan. This bound generalises the Brun-Titchmarsh bound on the number of primes in an arithmetic progression. / Linnik, "Dispersion method in binary additive problems" , Nauka (1961) (In Russian) [a6] H.L. $$ count the number of primes p congruent to a modulo q with p ≤ x. In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. Find Similar Documents From the … Press (1974), C. Hooley, "Applications of sieve methods to the theory of numbers" , Cambridge Univ. o $$ Soc. Deduce from this improved theorem that the Dirichlet L-functions of real characters have no exceptional zeros! , then there exists a better bound: This is due to Y. Motohashi (1973). We show a new large sieve version of the Brun-Titchmarsh theorem. {\displaystyle \pi (x;q,a)} The Brun-Titchmarsh theorem on average (1995) by R C Baker, G Harman Venue: Proc. Linnik, "Dispersion method in binary additive problems" , Nauka (1961) (In Russian), H.L. The European Mathematical Society. A character sums approach. The Brun–Titchmarsh theorem in analytic number theory is an upper bound on the distribution on primes in an arithmetic progression.It states that, if counts the number of primes p congruent to a modulo q with p ≤ x, then . 9. MathSciNet zbMATH CrossRef Google Scholar [21] Vaughan, "The large sieve" Mathematika, 20 (1973) pp. Then. In contrast, a simple application of a sieve method [a8] leads to an upper bound which gives the correct order of magnitude of $\pi(x;a,q)$ for all $q < x^{1-\epsilon}$, where $\epsilon$ is an arbitrary positive constant. A Chebotarev Variant of the Brun–Titchmarsh Theorem and Bounds for the Lang-Trotter conjectures Jesse Thorner, Jesse Thorner Department of Mathematics, Stanford University, Building 380, Sloan Mathematical Center, Stanford, CA, USA. H. Iwaniec, "On the Brun–Titchmarsh theorem" J. The proof of Theorem 13 uses a method introduced by Erd}os [12] to study the partial sums of ˝(F(n)), where F is a xed irreducible polynomial with integer coe cients. . in Honor of Heini Halberstam (Allerton Park, IL: Add To MetaCart. ; C.J. Because of its uniformity in $q$, an inequality of this type turns out to be very useful [a3], [a5], [a8]; it is known as the Brun–Titchmarsh theorem. Brun–Titchmarsh theorem: lt;p|>In |analytic number theory|, the |Brun–Titchmarsh theorem|, named after |Viggo Brun| and |E... World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and the most definitive collection ever assembled. Such theorems have been termed “Brun–Titchmarsh” theorems by Lin-nik in [4]. Monster Energy Bites With Flax Seed, Sinonimo Di Stile Di Vita, Trade Order Definition, Radio München Podcast, The Witcher 2 Crash Fix, Gesunde Ernährung Rezepte, " />
+(43) 1-208-45-45       

Single Blog Title

This is a single blog caption

brun titchmarsh theorem

09 Mai 2021
By
0 Comment

A Chebotarev variant of the Brun-Titchmarsh theorem and bounds for the Lang-Trotter conjectures (with Asif Zaman), International Mathematics Research Notices (2018), no. An explicit bound for the least prime ideal in the Chebotarev density theorem (with Asif Zaman), Algebra and Number Theory, 11 (2017), no. Sorted by: Results 1 - 10 of 15. The constant $2$ possesses a significant meaning in the context of sieve methods [a2], [a7]. I know the Brun-Titchmarsh theorem states the following. The Brun-Titchmarsh Theorem: OPTIMAL or NOT? The generalized Riemann hypothesis (cf. Sorted by: Results 1 - 10 of 12. For coprime integers $q$ and $a$, let $\pi(x;a,q)$ denote the number of primes not exceeding $x$ that are congruent to $a \pmod q$. If q is relatively small, e.g., 255 (1972), 60–79. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Mumbai, India. Math. I Beats the trivial1+x=q in a wide range, I When q = 1and y = 0, the estimate is sharp up to the2, I Idem when q is small, I At size x + y, average density is 1=log(y + x) I When y = 0, density is 1=logx, not 1=log(x=q) … Shiu, P.. "A Brun-Titschmarsh theorem for multiplicative functions.." ... Brun-Titchmarsh inequality. Math. ACKNOWLEDGEMENT. Theorem 1.1. By adapting the Brun–Titchmarsh theorem [a1], [a4], if necessary, it is possible to sharpen the above bound in various ranges for $q$. ) 5, 1135{1197. Math. 01, p. 159. Brun–Titchmarsh theorem Titchmarsh convolution theorem Titchmarsh theorem (on the Hilbert transform) Titchmarsh–Kodaira formula: Awards: De Morgan Medal (1953) Sylvester Medal (1955) Senior Berwick Prize (1956) Fellow of the Royal Society: Scientific career: Academic advisors: G. H. Hardy: Doctoral students: Lionel Cooper John Bryce McLeod x The Brun-Titchmarsh theorem, Analytic number theory (Kyoto, (1996) by J Friedlander, H Iwaniec Venue: Cambridge Univ. holds uniformly for $q < \log^A x$, where $A$ is an arbitrary positive constant: this is the Siegel-Walfisz theorem. Vaughan, "The large sieve", Y. Motohashi, "Sieve methods and prime number theory" , Tata Institute and Springer (1983), K. Prachar, "Primzahlverteilung" , Springer (1957). π Author information. q but this can only be proved to hold for the more restricted range q < (log x)c for constant c: this is the Siegel–Walfisz theorem. This article was adapted from an original article by H. Mikawa (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. 119–134 [a7] Reine Angew. \pi(x;a,q) \le \frac{2x}{\phi(q)\log(x/q)} Montgomery, R.C. For x > q, $$\pi(x;q,a) \leq \frac{2}{1-\theta}\frac{x}{\phi(x)\log{x}}$$ where $\pi(x;q,a)$ denotes the set of primes less than x … MathSciNet Google Scholar Download references. Gives an account of Brun's sieve. + This page was last edited on 19 December 2014, at 21:25. 20 In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. 8. EMBED. Chen’s theorem [Che73], namely that there are infinitely many primes p such that p+2 is a product of at most two primes, is another indication of the power of sieve methods. Our result produces an improvement for the best unconditional bounds toward two conjectures of Lang and Trotter regarding the distribution of … The main new ingredient is an explicit counting result estimating the number of integral elements with certain properties up to multiplication by units. Suggest a Subject Subjects. Advanced embedding details, examples, and help! To state these results, we let % be a non-negative constant with the property that for any =>0, there exists ’=’(=)>0 such that: l˛L /(l)R A large number of the applications stem from the sieve's ability to give good upper bounds and as demonstrated by Brun, they give upper bounds of the expected order of magnitude. In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. C. Hooley, On the Brun-Titchmarsh theorem, J. reine angew. \pi(x;a,q) = \frac{x}{\phi(q)\log(x)} \left({1 + O\left(\frac{1}{\log x}\right)}\right) x A large number of the applications stem from the sieve's ability to give good upper bounds and as demonstrated by Brun, they give upper bounds of the expected order of magnitude. Affiliations. Indeed, Titchmarsh proved such a theorem for q = 1, with a LogLog(N/q) term instead of the 2 above, to establish the asymptotics for a PDF | On Jan 1, 2008, Olivier Ramare and others published Improving on the Brun-Titchmarsh Theorem | Find, read and cite all the research you need on ResearchGate We improve the Chebotarev variant of the Brun-Titchmarsh theorem proven by Lagarias, Montgomery, and Odlyzko using the log-free zero density estimate and zero repulsion phenomenon for Hecke L-functions that were recently proved by the authors. 03, Issue. Contact & Support. Let There exists an N0 such that for all N ≥ N0 and all M ≥ 1 we have π(M + N)− π(M) ≤ 2N LogN +3.53. The author expresses his gratitude to Professor Christopher Hooley for several stimulating discussions and fruitful suggestions. The proof is set up as an application of Selberg's Sieve in number fields. Conf. 95–123 [a5] Yu.V. Brun's theorem; Brun-Titchmarsh theorem; Brun sieve; Sieve theory; References Other sources. Shiu P, A Brun—Titchmarsh theorem for multiplicative functions,J. For a good account of the Rosser Iwaniec sieve and the Brun Titchmarsh theorem, see the monograph of Motohashi [17]. This bound generalizes the Brun–Titchmarsh bound on the number of primes in an arithmetic progression. 1 CROOT, ERNIE 2007. 2. , Multiplicative number theory 11N13 Primes in progressions 11N37 Asymptotic results on arithmetic functions. the Brun-Titchmarsh theorem for short intervals are stated without proofs in the last Section 6. for all $q < x$. Tools. By contrast, Dirichlet's theorem on arithmetic progressions gives an asymptotic result, which may be expressed in the form. He used a bilinear structure in the error term in the Selberg sieve, discovered by himself. Japan, 34 (1982) pp. This chapter discusses the Brun-Titchmarsh theorem. You must be logged in to add subjects. $$ Publisher Summary This chapter discusses the Brun-Titchmarsh theorem. Different authors have provided different estimates for C in different ranges for logx/logq, all of which give C>2 when logx/logq is bounded. Using analytic methods of the theory of $L$-functions [a8], one can show that the asymptotic formula (Dirichlet's theorem on arithmetic progressions) MathSciNet zbMATH CrossRef Google Scholar [20] C. Hooley, On the largest prime factor of p+a, Mathematika 20 (1973), 135–143. The result was proven by sieve methods by Montgomery and Vaughan; an earlier result of Brun and Titchmarsh obtained a weaker version of this inequality with an additional multiplicative factor of (*) (Improved Brun-Titchmarsh Theorem- A consequence)Supposethatonecan prove a version of the Brun-Titchmarsh theorem in which the constant 2 (on the right side in the inequality of problem 2) is replaced with 1.99. On Some Improvements of the Brun-Titchmarsh Theorem. {\displaystyle 1+o(1)} Riemann hypotheses) is not capable of providing any information for $q > x^{1/2}$. $$ 7. Dirichlet's theorem on arithmetic progressions, https://encyclopediaofmath.org/index.php?title=Brun-Titchmarsh_theorem&oldid=35728, E. Fouvry, "Théorème de Brun–Titchmarsh: application au théorème de Fermat", H. Halberstam, H.E. The proof is set up as an application of Selberg’s Sieve in number fields. for all .The result is proved by sieve methods.By contrast, Dirichlet's theorem on arithmetic progressions gives an asymptotic result, which may be expressed in the form Richert, "Sieve methods" , Acad. Publication: arXiv e-prints. H. Halberstam and H. E. Richert, Sieve methods, Academic Press (1974) ISBN 0-12-318250-6. 1 @article{JamesMaynard2013, abstract = {The Brun-Titchmarsh theorem shows that the number of primes which are less than x and congruent to a modulo q is less than (C+o(1))x/(ϕ(q)logx) for some value C depending on logx/logq. Montgomery, R.C. Later this idea of exploiting structures in sieving errors developed into a major method in Analytic Number Theory, due to H. Iwaniec's extension to combinatorial sieve. Tools. www.springer.com We improve the Chebotarev variant of the Brun-Titchmarsh theorem proven by Lagarias, Montgomery, and Odlyzko using the log-free zero density estimate and zero Dirichlet's theorem on arithmetic progressions, https://en.wikipedia.org/w/index.php?title=Brun–Titchmarsh_theorem&oldid=968626250, Creative Commons Attribution-ShareAlike License, This page was last edited on 20 July 2020, at 14:43. SMOOTH NUMBERS IN SHORT INTERVALS.International Journal of Number Theory, Vol. ) {\displaystyle q\leq x^{9/20}} It is desirable to extend the validity range for $q$ of this formula, in view of its applications to classical problems. 9 A CHEBOTAREV VARIANT OF THE BRUN-TITCHMARSH THEOREM AND BOUNDS FOR THE LANG-TROTTER CONJECTURES JESSE THORNER AND ASIF ZAMAN Abstract. IntroductionThe main result of this paper is the following Theorem: Such theorems have been termed "Brun-Titchmarsh" Theorem by Linnik in [4]. 311 (1980) 161–170. Press (1976) ISBN 0-521-20915-3, H. Iwaniec, "On the Brun–Titchmarsh theorem", Yu.V. ( By a sophisticated argument, [a6], one finds that Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. ≤ EMBED (for wordpress.com hosted blogs and archive.org item tags) Want more? IV Motohashi, Yoichi; Abstract. ( 16, 4991{5027. Indeed, Titchmarsh proved such a theorem for q = 1, with a Log Log(N/q) term instead of the 2 above, to establish the asymptotic for the number of divisors of the p + 1, p ranging through the primes; he used the method of Brun. The main new ingredient is an explicit counting result estimating the number of integral elements with certain properties up to multiplication by units. The Brun-Titchmarsh theorem and the extremely powerful result of Bombieri are two important examples. q On the Brun-Titchmarsh Theorem Item Preview remove-circle Share or Embed This Item. 3. Add To MetaCart. Journal of the Mathematical Society of Japan. This bound generalises the Brun-Titchmarsh bound on the number of primes in an arithmetic progression. / Linnik, "Dispersion method in binary additive problems" , Nauka (1961) (In Russian) [a6] H.L. $$ count the number of primes p congruent to a modulo q with p ≤ x. In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. Find Similar Documents From the … Press (1974), C. Hooley, "Applications of sieve methods to the theory of numbers" , Cambridge Univ. o $$ Soc. Deduce from this improved theorem that the Dirichlet L-functions of real characters have no exceptional zeros! , then there exists a better bound: This is due to Y. Motohashi (1973). We show a new large sieve version of the Brun-Titchmarsh theorem. {\displaystyle \pi (x;q,a)} The Brun-Titchmarsh theorem on average (1995) by R C Baker, G Harman Venue: Proc. Linnik, "Dispersion method in binary additive problems" , Nauka (1961) (In Russian), H.L. The European Mathematical Society. A character sums approach. The Brun–Titchmarsh theorem in analytic number theory is an upper bound on the distribution on primes in an arithmetic progression.It states that, if counts the number of primes p congruent to a modulo q with p ≤ x, then . 9. MathSciNet zbMATH CrossRef Google Scholar [21] Vaughan, "The large sieve" Mathematika, 20 (1973) pp. Then. In contrast, a simple application of a sieve method [a8] leads to an upper bound which gives the correct order of magnitude of $\pi(x;a,q)$ for all $q < x^{1-\epsilon}$, where $\epsilon$ is an arbitrary positive constant. A Chebotarev Variant of the Brun–Titchmarsh Theorem and Bounds for the Lang-Trotter conjectures Jesse Thorner, Jesse Thorner Department of Mathematics, Stanford University, Building 380, Sloan Mathematical Center, Stanford, CA, USA. H. Iwaniec, "On the Brun–Titchmarsh theorem" J. The proof of Theorem 13 uses a method introduced by Erd}os [12] to study the partial sums of ˝(F(n)), where F is a xed irreducible polynomial with integer coe cients. . in Honor of Heini Halberstam (Allerton Park, IL: Add To MetaCart. ; C.J. Because of its uniformity in $q$, an inequality of this type turns out to be very useful [a3], [a5], [a8]; it is known as the Brun–Titchmarsh theorem. Brun–Titchmarsh theorem: lt;p|>In |analytic number theory|, the |Brun–Titchmarsh theorem|, named after |Viggo Brun| and |E... World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and the most definitive collection ever assembled. Such theorems have been termed “Brun–Titchmarsh” theorems by Lin-nik in [4].

Monster Energy Bites With Flax Seed, Sinonimo Di Stile Di Vita, Trade Order Definition, Radio München Podcast, The Witcher 2 Crash Fix, Gesunde Ernährung Rezepte,

About Post Author

Avatar

Leave a Reply

Text Widget

Sed posuere consectetur est at lobortis. Donec id elit non mi porta gravida at eget metus. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nullam id dolor id nibh ultricies vehicula ut id elit.

Neueste Kommentare

    © 2019 RiuDecor. All Right Reserved.
    Datenschutz
    Impressum | Datenschutzerklärung
    , Besitzer: (Firmensitz: Deutschland), verarbeitet zum Betrieb dieser Website personenbezogene Daten nur im technisch unbedingt notwendigen Umfang. Alle Details dazu in der Datenschutzerklärung.
    Datenschutz
    Impressum | Datenschutzerklärung
    , Besitzer: (Firmensitz: Deutschland), verarbeitet zum Betrieb dieser Website personenbezogene Daten nur im technisch unbedingt notwendigen Umfang. Alle Details dazu in der Datenschutzerklärung.