On the rankin–selberg problem

Author: kbav

August undefined, 2024

Web7 de set. de 2011 · Comments: 12 pages: Subjects: Number Theory (math.NT) MSC classes: : 11N37, 44A15, 26A12: Journal reference: Moscow Journal of Combinatorics … 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. …

The second moment of the Fourier coefficients of triple product ...

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 … WebPub Date: February 2024 arXiv: arXiv:2002.00591 Bibcode: 2024arXiv200200591H Keywords: Mathematics - Number Theory; E-Print: 28 pages. side by side assisted living

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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 … Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A 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 side by side analysis

[2002.00591v2] On the Rankin--Selberg problem

The Rankin–Selberg Method: A Survey - ScienceDirect

Web27 de out. de 2024 · Abstract: In this paper, by assuming the generalized Lindelöf hypothesis, we study the Rankin-Selberg problem in families of holomorphic … WebThe Rankin-Selberg problem, Vorono¨ı type formula, Selberg class, mean square estimates. Typeset by AMS-TEX 1. 2 Aleksandar Ivi´c The constant C(> 0) in (1) may be written down explicitly (see e.g., [7]), and cn is the convolution function deﬁned by the pine bar londonhttp://homepage.math.uiowa.edu/~yey/papers/gafa2002.pdf side by side at lowe\u0027s

"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]. " - On the rankin–selberg problem

On the rankin–selberg problem

Web12 de dez. de 2024 · On the Rankin--Selberg problem in arithmetic progressions. 2024-12-12. Date: 2024-12-15 14:00:00 Time: 14:00-15:00 Venue: Online Speaker: LIN Yongxiao … 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 …

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WebThe Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award honours the Canadian mathematician John Charles Fields.. The Fields Medal is regarded as one of the highest … 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.

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 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 ...

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 … WebScience in China A: Mathematics. Pub Date: January 2008 DOI: 10.1007/s11425-007-0130-4 arXiv: arXiv:0805.1975

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. …

Web6 de abr. de 2024 · The second moment of the Fourier coefficients of triple product ... ... null side by side ariana lyricsWebOn 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. the pine athens the pine bandWeb5 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. the pine bar montgomery alabamaWeb5 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∥ ... side by side adult tricyclehttp://www.doiserbia.nb.rs/img/doi/1452-8630/2007/1452-86300701111I.pdf side by side anchorageWeb27 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 … side by side arctic cat