On the rankin–selberg problem

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August undefined, 2024

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]. 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 …

On the Rankin-Selberg problem: higher power moments of the …

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. … 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 fish house supply coupon code

On the Rankin-Selberg problem: higher power moments of the

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 … 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 … Web10 de jan. de 2008 · Search 205,790,388 papers from all fields of science. Search. Sign In Create Free Account can a truck run without a catalytic converter

On a Rankin-Selberg -Function over Different Fields - Semantic …

WebPub Date: February 2024 arXiv: arXiv:2002.00591 Bibcode: 2024arXiv200200591H Keywords: Mathematics - Number Theory; E-Print: 28 pages. 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 … fishhousetoys.comWebScience in China A: Mathematics. Pub Date: January 2008 DOI: 10.1007/s11425-007-0130-4 arXiv: arXiv:0805.1975 fish house toys coupon

"Web5 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. " - On the rankin–selberg problem

On the rankin–selberg problem

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 ... 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

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Web7 de set. de 2011 · In this paper, by assuming the generalized Lindel\"of hypothesis, we study the Rankin-Selberg problem in families of holomorphic modular forms. By using … 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 …

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 WebRankin [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 …

Web3 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … 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 …

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Web26 de mai. de 2024 · The Rankin–Selberg problem is to improve the exponent 3/5. Although we have several methods to prove essentially the same bound as above (see e.g. Ivić [ 13 ]), the exponent 3/5 represents one of the longest standing records in analytic … can a trucks coil pack causing knocking noiseWeb6 de abr. de 2024 · The second moment of the Fourier coefficients of triple product ... ... null can a truck run with just a y pipeWebRankin-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. fish house tow skisWebRankin–Selberg L-function L(s,f ⊗ g) is then deﬁned by (1.1) again for Res>1. If f and g are orthogonal, L(s,f⊗g) is indeed holomorphic after analytic continuation. Ourgoal in this paperis to show that a subconvexity bound still holds for L(1/2+it,f ⊗g)ask goes to inﬁnity. The theorems and their proofs below make use of bounds ... can a truck stay on jack stands overnightWebOn 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 can a truck park on a residential streetWeb4. 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 … can a truck go through a car washWeb1 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. fish house tacoma menu