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標題: Titlebook: Non-vanishing of L-Functions and Applications; M. Ram Murty,V. Kumar Murty Book 1997 Springer Basel AG 1997 Number theory.alegbraic geomet [打印本頁]

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Non-vanishing of L-Functions and Applications978-3-0348-8956-8Series ISSN 0743-1643 Series E-ISSN 2296-505X
作者: LANCE    時間: 2025-3-22 12:25

作者: 反應(yīng)    時間: 2025-3-22 13:05
https://doi.org/10.1007/978-3-0348-8956-8Number theory; alegbraic geometry; arithmetic; number theory; prime number
作者: 神刊    時間: 2025-3-22 19:36

作者: 混合,攙雜    時間: 2025-3-22 23:50
Artin ,-Functions,In this section, we shall collect together a few group theoretic preliminaries. We begin by reviewing the basic aspects of characters and class functions.
作者: 離開    時間: 2025-3-23 05:03
Equidistribution and L-Functions,Let . be a compact topological space and .(.) the Banach space of continuous, complex-valued functions on ., with the supremum norm:
作者: 水汽    時間: 2025-3-23 07:42
Dirichlet L-Functions,Let . denote a Dirichlet character and .(.) the associated Dirichlet .-function. Let us begin by considering how one would approach the problem of showing that .(1/2, .) ≠ 0. In the following, we assume that . is defined modulo a prime . We first study the average
作者: zonules    時間: 2025-3-23 11:17
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}}}}} .
作者: nurture    時間: 2025-3-23 14:33
,Selberg’s Conjectures,In a fundamental paper [S], 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.
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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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M. Ram Murty,V. Kumar Murtyes format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and key tips on troubleshooting and avoiding known pitfalls..?.Authoratative and Practical,. Tandem Repeats in Genes, Proteins
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作者: 暫時中止    時間: 2025-3-26 19:45
M. Ram Murty,V. Kumar Murtytitioner new methods for increasing robustness to disturbanc.This book deals with a novel and practical advanced method for control of tandem cold metal rolling processes based on the emerging state-dependent Riccati equation technique.After a short history of tandem cold rolling, various types of c
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作者: 背書    時間: 2025-3-27 02:57
M. Ram Murty,V. Kumar Murtytitioner new methods for increasing robustness to disturbanc.This book deals with a novel and practical advanced method for control of tandem cold metal rolling processes based on the emerging state-dependent Riccati equation technique.After a short history of tandem cold rolling, various types of c
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M. Ram Murty,V. Kumar Murtyn advice from the experts.The genomes of humans, as well as many other species, are interspersed with hundreds of thousands of tandem repeats of DNA sequences.? Those tandem repeats located as codons within open reading frames encode amino acid runs, such as polyglutamine and polyalanine.? Tandem re
作者: 分貝    時間: 2025-3-27 21:13
M. Ram Murty,V. Kumar Murtyepeats located as codons within open reading frames encode amino acid runs, such as polyglutamine and polyalanine.? Tandem repeats have not only been implicated in biological evolution, development and function but also in a large collection of human disorders. In .Tandem Repeats in Genes, Proteins,
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n advice from the experts.The genomes of humans, as well as many other species, are interspersed with hundreds of thousands of tandem repeats of DNA sequences.? Those tandem repeats located as codons within open reading frames encode amino acid runs, such as polyglutamine and polyalanine.? Tandem re
作者: travail    時間: 2025-3-28 11:18
Introduction,e distribution of prime numbers in arithmetic progressions is intimately connected with non-vanishing properties of various .-functions. With the subsequent advent of the Tauberian theory as developed by Wiener and Ikehara, these arithmetical theorems have been shown to be equivalent to the non-vani
作者: Heart-Attack    時間: 2025-3-28 15:51
Modular Forms and Dirichlet Series,et series to it. He established an analytic continuation of the series and a functional equation for it. He then made his famous conjectures about the multiplicativity of these coefficients and their size. The multiplicativity conjecture would allow him to write his Dirichlet series as an Euler prod
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