On the rankin–selberg problem
http://www.doiserbia.nb.rs/img/doi/1452-8630/2007/1452-86300701111I.pdf Web1 de jul. de 2004 · In this paper we study the subconvexity problem for the Rankin-Selberg L-function and triple product L-function, allowing joint ramifications and conductor dropping range. We first extend … Expand. 1. PDF. Save. Alert. The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II.
On the rankin–selberg problem
Did you know?
WebTHE SUBCONVEXITY PROBLEM FOR RANKIN-SELBERG L FUNCTIONS. 3 for 0, the implied constant depending on ε,s,gand the parameters at infinity … Web1 de dez. de 2024 · In particular, Wu [55] has shown that n≤x λ f (n) In 1930s, Rankin [42] and Selberg [46] independently proved the following asymptotic formula where c f is a …
Web8 de jan. de 2009 · Let f be a Maass form for SL $$(3, {\\mathbb{Z}})$$ which is fixed and u j be an orthonormal basis of even Maass forms for SL $$(2, {\\mathbb{Z}})$$ , we prove an asymptotic formula for the average of the product of the Rankin–Selberg L-function of f and u j and the L-function of u j at the central value 1/2. This implies simultaneous … WebRankin-Selberg method. We do this by explaining how to compute some of the simplest Rankin-Selberg integrals \from scratch". In that sense, our purpose is to give a sort of \user’s guide" to the Rankin-Selberg method, explaining some techniques in detail so that the reader, if they so choose, can do their own research on L-functions.
WebTHE SUBCONVEXITY PROBLEM FOR RANKIN-SELBERG L FUNCTIONS. 3 for 0, the implied constant depending on ε,s,gand the parameters at infinity of f. The subconvexity problem in the q-aspect is to replace the exponent 1/2 above by a strictly smaller one. In [KMV2], Theorem 1.1, we WebRankin [25] and Selberg [26] invented the powerful Rankin–Selberg method, and then successfully showed that 2(X,φ) φ X3/5. This bound remains the best since it was proved …
Web3 de fev. de 2024 · The Rankin–Selb erg problem, Hecke eigenvalues, second moment, L-functions, delta method. This work was supported by the Taishan Scholars Program …
WebRankin–Selberg L-function L(s,f ⊗ g) is then defined by (1.1) again for Res>1. If f and g are orthogonal, L(s,f⊗g) is indeed holomorphic after analytic continuation. Ourgoal in this paperis to show that a subconvexity bound still holds for L(1/2+it,f ⊗g)ask goes to infinity. The theorems and their proofs below make use of bounds ... city gate forest parkWeb26 de mai. de 2024 · The Rankin–Selberg problem is to improve the exponent 3/5. Although we have several methods to prove essentially the same bound as above (see e.g. Ivić [ 13 ]), the exponent 3/5 represents one of the longest standing records in analytic … city gate globeWeb3 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … city gate forest park ohioWebThe classical Rankin-Selberg bound of 1939 is (1.2) A(x) = 0(x3/s), 2000 Mathematics Subject Classification. 11N37, 11M06, 44A15, 26A12. Key Words and Phrases. The … did alex drummond graduate from collegedid alex cheat on sierraWebRankin-Selberg bound ∆(x) ˝ε x3/5+ε. Clearly improvement will come from better values of θ. Note that the best possible value of θin (3.2) is θ= 1, which follows from general results on Dirichlet series (see e.g., [3, Chapter 9]). It gives 1/2+εas the exponent in the Rankin-Selberg problem, which is the limit of the citygate fort myers flWeb5 de jun. de 2014 · The work in [10] did not consider the Markov case. A central problem in convex geometry is the computation of invariant, admissible, free groups. Introduction In [10], the authors constructed essentially canonical systems. ... contra-Selberg, sub-stochastically bounded function is contra-singular, if W ̄ > t then ̃I ∋ P. Since. citygate group bodyshops