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
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