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On the rankin-selberg problem

Web10 de jan. de 2008 · Search 205,790,388 papers from all fields of science. Search. Sign In Create Free Account WebKeywords: Rankin-Selberg problem, Riesz mean, Vorono¨ı type formula, power moment MSC(2000): 11N37, 11F30 1 Introduction Letϕ(z) be a holomorphiccusp form ofweight κ …

arXiv:math/0701912v1 [math.NT] 31 Jan 2007

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 WebRANKIN-SELBERG L FUNCTIONS IN THE LEVEL ASPECT E. KOWALSKI, P. MICHEL, AND J. VANDERKAM ... smallest quadratic non-residue problem was suggested to us by P. Sarnak. RANKIN-SELBERG LFUNCTIONS IN THE LEVEL ASPECT 3 Corollary 1.3. Let gbe a primitive cusp form as in Theorem 1.1 with D>1, k>2 an even eastern acoustic works 2396 speakers https://horsetailrun.com

On the Rankin-Selberg problem: higher power moments …

WebThis is a horizontal analogue of a well-known result of Cornut and Vatsal [Nontriviality of Rankin-Selberg L-functions and CM points, L-functions and Galois representations, vol. 320, Cambridge Univ. Press, Cambridge, 2007, pp. 121–186]. 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. … 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. cueit software

ON SOME MEAN SQUARE ESTIMATES IN THE RANKIN-SELBERG …

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On the rankin-selberg problem

The Central value of the Rankin–Selberg L -Functions - Springer

Web7 de set. de 2011 · Comments: 12 pages: Subjects: Number Theory (math.NT) MSC classes: : 11N37, 44A15, 26A12: Journal reference: Moscow Journal of Combinatorics … WebKeywords: Rankin-Selberg problem, Riesz mean, Vorono¨ı type formula, power moment MSC(2000): 11N37, 11F30 1 Introduction Letϕ(z) be a holomorphiccusp form ofweight κ with respect to the full modular group SL2(Z), and denote by a(n)then-th Fourier coefficient of ϕ(z). Suppose that ϕ(z) is normalized such

On the rankin-selberg problem

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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 … 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 …

WebThe Rankin-Selberg L-function of the pair F, G= complex conjugate of G, is the Dirichlet series L(s,F⊗G) = ζ(2s) X n≥1 a n b n n 1−k−s. (1.7) Its analytic continuation and functional equation were established separately by Rankin [17] and Selberg [18]. The proof depends on properties of the non-holomorphic Eisenstein series E s(z) = π ... Web27 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 …

WebPub Date: February 2024 arXiv: arXiv:2002.00591 Bibcode: 2024arXiv200200591H Keywords: Mathematics - Number Theory; E-Print: 28 pages. Web3 de fev. de 2024 · In this paper, we solve the Rankin–Selberg problem. That is, we break the. well known Rankin–Selberg’s bound on the e rror term of the second moment of …

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.

WebIvić A, Matsumoto K, Tanigawa Y. On Riesz means of the coefficients of the Rankin-Selberg series. Math Proc Camb Phil Soc, 127: 117–131 (1999) Article MATH Google … eastern account systems phone numberWebTHE 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 eastern achiever academy of taguig inchttp://www.math.keio.ac.jp/~kurihara/PANT2024/PANT2/PANTSlides/BingrongHuang.pdf eastern acoustic development hong kongWeb8 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 … eastern account system of ctWebIn 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 … eastern acoustics cape townWebOn 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 eastern accounts paymentWeb3 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 … cue lighting ziva