On the rankin-selberg problem
Web1 de jul. de 1999 · On Riesz means of the coefficients of the Rankin–Selberg series - Volume 127 Issue 1. Skip to main content Accessibility help ... On some mean square estimates in the Rankin-Selberg problem. Applicable Analysis and Discrete Mathematics, Vol. 1, Issue. 1, p. 111. CrossRef; WebRankin–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 ...
On the rankin-selberg problem
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Web10 de jan. de 2008 · Search 205,790,388 papers from all fields of science. Search. Sign In Create Free Account Web27 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 …
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 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 …
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 … http://www.math.keio.ac.jp/~kurihara/PANT2024/PANT2/PANTSlides/BingrongHuang.pdf
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http://homepage.math.uiowa.edu/~yey/papers/gafa2002.pdf sims 4 realistic bed ccWeb1 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. rc fly babyWeb8 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 … rc flying batWeb14 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 … rcflyg microWeb1 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 … rc flying fields near oak lawn ilWeb3 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 … rc flying fields in floridaWebTHE RANKIN-SELBERG PROBLEM Aleksandar Ivic An overview of the classical Rankin-Selberg problem involving the asymp-totic formula for sums of coefficients of … r c flying disc