zonules 发表于 2025-3-23 11:17:13

Non-Vanishing of Quadratic Twists of Modular ,-Functions,Let . be a holomorphic cusp form for Γ.(.) of weight 2 and character ∈. We assume that . is a normalized newform for the Hecke operators. Denote by .(.) the .-function attached to . For Re(.) > 3/2, it is given by an absolutely convergent Dirichlet seriesLleft( {s,f}
ight) = sumlimits_{{n = 1}}^{infty } {frac{{aleft( n
ight)}}{{{n^{s}}}}} .

nurture 发表于 2025-3-23 14:33:46

,Selberg’s Conjectures,In a fundamental paper , Selberg defined a general class of Dirichlet series and formulated basic conjectures concerning them. Selberg’s conjectures concern Dirichlet series, which admit analytic continuations, Euler products and functional equations.

大雨 发表于 2025-3-23 18:46:05

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enlist 发表于 2025-3-23 22:16:24

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恃强凌弱 发表于 2025-3-24 04:22:06

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闲聊 发表于 2025-3-24 08:22:33

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奴才 发表于 2025-3-24 11:26:53

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MIRE 发表于 2025-3-24 15:40:13

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Lime石灰 发表于 2025-3-24 20:18:53

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CLAN 发表于 2025-3-24 23:36:48

M. Ram Murty,V. Kumar Murtyormance using the new method. Material is included which shows how the new technique can be extended to the control of a broad range of large-scale complex nonlinear processes..978-1-4471-2615-7978-0-85729-067-0Series ISSN 1430-9491 Series E-ISSN 2193-1577
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查看完整版本: Titlebook: Non-vanishing of L-Functions and Applications; M. Ram Murty,V. Kumar Murty Book 1997 Springer Basel AG 1997 Number theory.alegbraic geomet