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On the rankin–selberg problem

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 … 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. …

[2210.15095] On the Rankin-Selberg problem in families

Web21 de jan. de 2024 · In this article, we study the Beilinson–Bloch–Kato conjecture for motives associated to Rankin–Selberg products of conjugate self-dual automorphic representations, within the framework of the Gan–Gross–Prasad conjecture. We show that if the central critical value of the Rankin–Selberg L-function does not vanish, then the … WebVol. 90 (2008) On the fourth moment in the Rankin-Selberg problem 413 The constant C(> 0) in (1.1) may be written down explicitly (see e.g., [7]), and c n is the convolution … easy healthy sweet snack recipes https://dubleaus.com

On the fourth moment in the Rankin-Selberg problem - Springer

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 ... Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A WebTHE SUBCONVEXITY PROBLEM FOR RANKIN-SELBERG L FUNCTIONS. 3 for 0, the implied constant depending on ε,s,gand the parameters at infinity … easy healthy sweet potato casserole

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

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On the rankin–selberg problem

[PDF] On the Rankin–Selberg problem Semantic Scholar

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

On the rankin–selberg problem

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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 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 …

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 Category: Talk & Lecture. Speaker: Dr. LIN Yongxiao (Shandong University) Venue: Online. Tencent Meeting ID: 321-4296-7396. 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 …

http://www.doiserbia.nb.rs/img/doi/1452-8630/2007/1452-86300701111I.pdf 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. …

Webconnect the Weyl sums associated to this equidistribution problem to central values of Rankin{Selberg L-functions. The proof that these Weyl sums are small follows from the …

WebThe 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 … easy healthy taco dipWebScience in China A: Mathematics. Pub Date: January 2008 DOI: 10.1007/s11425-007-0130-4 arXiv: arXiv:0805.1975 curious kittens puzzleWebThe 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 … curious light music idWeb6 de abr. de 2024 · The second moment of the Fourier coefficients of triple product ... ... null easy healthy sweet treatsWeb8 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 … curious leaderWeb10 de jan. de 2008 · Search 205,790,388 papers from all fields of science. Search. Sign In Create Free Account easy healthy sweet potato friesWeb26 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 … curiously adirondack