On the rankin–selberg problem

Author: qhht

August undefined, 2024

http://homepage.math.uiowa.edu/~yey/papers/gafa2002.pdf 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 …

On the Rankin–Selberg problem - Springer

Web4. A shifted convolution problem 29 5. Expanding the c-sum 34 6. Heegner points on Shimura curves 44 7. Appendix: Bounds for Bessel functions 47 References 50 1. … 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 … eagle rock supply denver

On the Rankin-Selberg problem in short intervals - ResearchGate

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. WebRankin-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 Web14 de mai. de 2008 · Key Words: The Rankin-Selberg problem, Riesz mean, Vorono ¨ ı type formula, Pow er moment. This work is supported by National Natural Science … csl plasma first donation

An Example of Lindemann - Sun Abstract Let ̄k be a functor

The Rankin–Selberg Method: A Survey - ScienceDirect

Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A WebPub Date: February 2024 arXiv: arXiv:2002.00591 Bibcode: 2024arXiv200200591H Keywords: Mathematics - Number Theory; E-Print: 28 pages. eagle rock tabWeb6 de abr. de 2024 · The second moment of the Fourier coefficients of triple product ... ... null csl plasma fayetteville ar

"Webtheory, but this paper is not concerned with this problem. Our object of study is the so-called Rankin–Selberg zeta function Z(s) = X1 n=1 c nn s; (1.4) which is the generating Dirichlet series for the sequence fc ng n 1. One can deﬁne the Rankin–Selberg zeta function in various degrees of generality; see, for " - On the rankin–selberg problem

On the rankin–selberg problem

The Rankin-Selberg method for automorphic distributions

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 … http://www.math.keio.ac.jp/~kurihara/PANT2024/PANT2/PANTSlides/BingrongHuang.pdf

Did you know?

Web4. A shifted convolution problem 29 5. Expanding the c-sum 34 6. Heegner points on Shimura curves 44 7. Appendix: Bounds for Bessel functions 47 References 50 1. Introduction In this paper, we pursue the program—initiated in [KMV02] and continued in [M04a]—of solving the subconvexity problem for Rankin–Selberg L-functions in the … WebScience in China A: Mathematics. Pub Date: January 2008 DOI: 10.1007/s11425-007-0130-4 arXiv: arXiv:0805.1975

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. 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

Web23 de jan. de 2024 · Dr. P. Agarwal was born in Jaipur (India) on August 18, 1979. After completing his schooling, he earned his Master’s degree from Rajasthan University in 2000. In 2006, he earned his Ph. D. (Mathematics) at the MNIT in Jaipur, India, one of the highest-ranking universities in India. Dr. Agarwal has been actively involved in research as well … 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 …

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.

Web27 de out. de 2024 · On the Rankin-Selberg problem in families. Jiseong Kim. In 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-average bound, we also study the Rankin-Selberg problem in families of Hecke-Maass cusp forms. … csl plasma federal way hoursWeb10 de jan. de 2008 · Search 205,790,388 papers from all fields of science. Search. Sign In Create Free Account csl plasma fort gratiotWeb5 de jun. de 2014 · A central problem in non-commutative set theory is the classification of Desargues random variables. Is it possible to extend ... is analytically open and degenerate. By a well-known result of Selberg [26], Dirichlet’s conjecture is false in the context of pairwise associative, semi-infinite matrices. Obviously, ∥r∥ ... eagle rock studios norcross gaWeb3 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … eagle rock thai spaWebHá 1 dia · and last updated 6:14 PM, Apr 13, 2024. Sharan Rankin, a wheelchair user from Mesa, claims her accessibility needs were not met after waiting five hours at the airport waiting for a ride. "It's ... csl plasma first time donorsWebRankin [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 … eagle rock supply salt lake city utahWeb27 de abr. de 2014 · Given two unitary automorphic cuspidal representations and defined on and , respectively, with and being Galois extensions of , we consider two generalized Rankin-Selberg -functions obtained by forcefully factoring and . We prove the absolute convergence of these -functions for . The main difficulty in our case is that the two … csl plasma flint