On the rankin-selberg problem

Author: xtac

August undefined, 2024

WebON THE RANKIN–SELBERG PROBLEM BINGRONG HUANG Abstract. In this paper, we solve the Rankin–Selberg problem. That is, we break the well known Rankin–Selberg’s … 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 …

Rankin-Selberg L-functions on the critical line - Semantic Scholar

WebIn this paper, by assuming the generalized Lindelöf hypothesis, we study the Rankin-Selberg problem in families of holomorphic modular forms. By using the Lindelöf-on … Web26 de out. de 2024 · In this paper, by assuming the generalized Lindel\"of hypothesis, we study the Rankin-Selberg problem in families of holomorphic modular forms. By using … ion exchange in hydrometallurgy

On the Rankin-Selberg problem: higher power - Springer

http://homepage.math.uiowa.edu/~yey/papers/gafa2002.pdf Web2 BINGRONGHUANG This bound remains the best since it was born for more than 80 years. The Rankin–Selberg problem is to improve the exponent 3/5. WebOn the Rankin{Selberg problem Bingrong Huang Shandong University Dec. 09, 2024 PANT - Kyoto 2024 @ RIMS, Kyoto University. Contents 1 Arithmetic functions 2 The Rankin{Selberg theorem 3 The Friedlander{Iwaniec theorem 4 The Rankin{Selberg problem and main result 5 Analytic twisted sum of GL(3) Fourier coe cients ion exchange india limited swsm

$arXiv:2002.00591v1 [math.NT] 3 Feb 2024 - ResearchGate$

[2002.00591v4] On the Rankin--Selberg problem

Web1 de jan. de 1989 · The Rankin-Selberg method gives an improvement over the “trivial estimate”.. ... Langlands, R. “Problems in the theory of automorphic forms,” In: Springer Lecture Notes in Mathematics. 170 (1970). Google Scholar. 55. Littlewood, D. The Theory of Group Characters, second edition. Web3 de fev. de 2024 · Please join the Simons Foundation and our generous member organizations in supporting arXiv during our giving campaign September 23-27. 100% of your contribution will fund improvements and new initiatives to … ontario minister of seniors and accessibilityWebRankin [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 … ontario minister of ltc

"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

On the rankin-selberg problem

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Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A Web3 de fev. de 2024 · Abstract: In this paper, we solve the Rankin--Selberg problem. That is, we break the well known Rankin--Selberg's bound on the error term of the second …

WebScience in China A: Mathematics. Pub Date: January 2008 DOI: 10.1007/s11425-007-0130-4 arXiv: arXiv:0805.1975 WebOn the Rankin-Selberg problem. Abstract: In this talk, I will introduce a method to solve the Rankin-Selberg problem on the second moment of Fourier coefficients of a GL(2) Hecke eigenform. This improves the classical result 3/5 of Rankin and Selberg (in 1939/1940). If time permit, a sketch of proof and some other results will also be presented.

Web6 de abr. de 2024 · DOI: 10.1007/s12044-023-00733-7 Corpus ID: 258020156; The second moment of the Fourier coefficients of triple product $${\varvec{L}}$$-functions @article{2024TheSM ... WebTHE RANKIN-SELBERG PROBLEM Aleksandar Ivic An overview of the classical Rankin-Selberg problem involving the asymp-totic formula for sums of coefficients of …

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Web13 de mai. de 2005 · Let f and g be two primitive (holomorphic or Maass) cusp forms of arbitrary level, character and infinity parameter by which we mean the weight in the holomorphic case and the spectral parameter in the Maass case. Let L(s,f × g) be the associated Rankin-Selberg L-function.If g is fixed and the infinity parameter μf of f … ontario ministry of children \u0026 youth servicesWeb27 de out. de 2024 · On the Rankin-Selberg problem in families. In this paper, by assuming the generalized Lindelöf hypothesis, we study the Rankin-Selberg … ontario ministry natural resourcesWebIMRN International Mathematics Research Notices 2003,No. 2 On the Nonnegativity of Rankin-Selberg L-Functions at the Center of Symmetry Erez M. Lapid 1 Introduction Let π be a self-dual cuspidal representation of GLn(A) where A is the ring of adeles of` a number ﬁeld F.Thenπ is either symplectic or orthogonal,that is,exactly one of the ontario ministries and agenciesWeb1 de jul. de 1999 · On Riesz means of the coefficients of the Rankin–Selberg series - Volume 127 Issue 1. Skip to main content Accessibility help ... On some mean square estimates in the Rankin-Selberg problem. Applicable Analysis and Discrete Mathematics, Vol. 1, Issue. 1, p. 111. CrossRef; ontario ministry of children social serviceshttp://www.math.keio.ac.jp/~kurihara/PANT2024/PANT2/PANTSlides/BingrongHuang.pdf ontario minister of transportation 2022WebRankin-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 ontario ministry of attorney general facebookWeb3 de fev. de 2024 · Please join the Simons Foundation and our generous member organizations in supporting arXiv during our giving campaign September 23-27. 100% … ontario ministry of aboriginal affairs