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標題: Titlebook: Siegel Modular Forms; A Classical and Repr Ameya Pitale Book 2019 Springer Nature Switzerland AG 2019 Siegel modular forms.Symplectic group [打印本頁]

作者: FORGE    時間: 2025-3-21 18:00
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作者: 著名    時間: 2025-3-21 22:18
Ameya Pitaleibrium systems of granular and active matter.Relates microsc.This book investigates the common nature of granular and active systems, which is rooted in their intrinsic out-of-equilibrium behavior, with the aim of finding minimal models able to reproduce and predict the complex collective behavior o
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Ameya Pitalea trial varies (increases or decreases) geometrically, with rate ., either with the number of trials or with the number of successes. Let . be the number of successes up the .th trial and . (or .) be the number of failures (or trials) until the occurrence of the .th (or .th) success. The distributio
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作者: pacific    時間: 2025-3-23 11:44
Applications of Properties of ,-Functions,In this chapter, we present two applications of properties of .-functions of Siegel modular forms. The first one is to determine whether a given modular form is a cusp form based on the size of its Fourier coefficients.
作者: 現(xiàn)存    時間: 2025-3-23 14:56
Local Representation Theory of ,In this chapter, we will discuss the representation theory of .. The genus 2 case provides a very good introduction to the study of local representations of the symplectic groups. The genus 2 case also has the advantage of detailed tables of data compiled by Roberts and Schmidt.
作者: cultivated    時間: 2025-3-23 18:59
Bessel Models and Applications,Holomorphic Siegel modular forms . correspond to cuspidal automorphic representations . of . that are not globally generic, i.e., they do not have a global Whittaker model.
作者: 聽寫    時間: 2025-3-24 01:49
Analytic and Arithmetic Properties of , ,-Functions,In this chapter, we will start from the integral representation for . obtained in the previous chapter. We will use this integral representation to obtain analytic and arithmetic properties of the .-functions. We will also present several applications.
作者: BRINK    時間: 2025-3-24 03:25

作者: 創(chuàng)造性    時間: 2025-3-24 06:46
978-3-030-15674-9Springer Nature Switzerland AG 2019
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作者: 乞丐    時間: 2025-3-24 20:46
https://doi.org/10.1007/978-3-030-15675-6Siegel modular forms; Symplectic group; Automorphic representations; L-functions; Fourier coefficients; D
作者: Allergic    時間: 2025-3-25 00:58
Examples,ito–Kurokawa lifts. These are concrete examples of cuspidal Siegel modular forms constructed from elliptic cusp forms. Finally, we consider Siegel modular forms with level . in the genus . case, corresponding to the standard congruence subgroups.
作者: Fibrinogen    時間: 2025-3-25 04:16

作者: 四牛在彎曲    時間: 2025-3-25 10:26
Ameya Pitaleshed new light on the physical connection between the local, microscopic properties of few particles and the macroscopic collective motion of thewhole system..978-3-030-06971-1978-3-319-95080-8Series ISSN 2190-5053 Series E-ISSN 2190-5061
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作者: BOOST    時間: 2025-3-26 08:18
Ameya Pitaleeen them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored..978-981-13-4911-9978-981-10-6596-5Series ISSN 2190-5053 Series E-ISSN 2190-5061
作者: 關節(jié)炎    時間: 2025-3-26 11:03
Ameya Pitalehe heavy-particle formulation. Our aim is to guide lattice practitioners in understanding the predictions chiral perturbation theory makes for baryons, and show how the lattice will play a role in testing the rigor of the chiral expansion at physical values of the quark masses.
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作者: BRIDE    時間: 2025-3-27 00:06
0075-8434 basic concepts can be applied to solve contemporary problemsThis monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating t
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作者: 不能和解    時間: 2025-3-27 13:29
Integral Representation of the Standard ,-Function,ence subgroup. Rallis, Piatetski-Shapiro, and also B?cherer, have obtained the integral representation in special cases. We will modify their methods to suit our level of generality. We will illustrate an application of the integral representation to algebraicity of special values of the .-function in the genus 2 case.
作者: 匯總    時間: 2025-3-27 14:23
Examples,ito–Kurokawa lifts. These are concrete examples of cuspidal Siegel modular forms constructed from elliptic cusp forms. Finally, we consider Siegel modular forms with level . in the genus . case, corresponding to the standard congruence subgroups.
作者: 不再流行    時間: 2025-3-27 19:18
Hecke Theory and ,-Functions, consisting of simultaneous eigenforms of the Hecke algebra. We explicate the relation between the Hecke eigenvalues and the Fourier coefficients of the modular forms. For genus greater than 1, this relation is very complicated. Finally, we introduce the two .-functions associated with Hecke eigenfo
作者: obtuse    時間: 2025-3-28 01:29
Cuspidal Automorphic Representations Corresponding to Siegel Modular Forms, There are several steps for achieving this— construct a function . on . corresponding to ., understand the properties it inherits from ., and study the local components of the representation generated by .. The main reference for this chapter is the article [6] by Asgari and Schmidt. We suggest the
作者: DEMUR    時間: 2025-3-28 04:44
Integral Representation of the Standard ,-Function,ters. The goal is to assume as little as possible about the Siegel modular forms. We will allow vector-valued modular forms with respect to any congruence subgroup. Rallis, Piatetski-Shapiro, and also B?cherer, have obtained the integral representation in special cases. We will modify their methods
作者: TIGER    時間: 2025-3-28 09:31
Book 2019ace, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and the
作者: 彎曲道理    時間: 2025-3-28 14:13
Self-Harm as Violence: When Victim and Perpetrator Are One007), while the . devotes only one out of 62 chapters to suicide (Heitmeyer and Hagan 2003). Such collections aim to be far reaching and comprehensive compilations of state-of-the-art research into violence. Why does self-directed violence garner so little attention?
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R. T. Rockafellar,R. J.-B. Wets. content and the amount of tritium was also increased. The tritium recovery process was significantly improved using the purge gas with water vapor. The tritium-TDS spectra were shifted to the lower temperature side with a higher desorption rate. Besides, the tritiated water (HTO) and tritium gas (
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Lara AtkinPseudohypoparathyreoidis-mus gegen heredit?re Skeleterkrankungen erforderlich wird, ist in der folgenden Darstellung der Klinik die Trennung von Pseudohypoparathyreoidismus und Pseudo-Pseudohypoparathyreoidismus beibehalten worden.
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Bertrand Russell on Knowingg an expression of the views of a highly acclaimed logician. In fact, Russell and Whitehead’s Principia Mathematica, first published in 1910, is generally considered to be a milestone in the development of mathematical logic. Thus if anywhere, in Russell’s writing on knowing we may expect to find a
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Characterisation of Radionuclide Contamination at the Semipalatinsk Nuclear Test Site Territory have also been reached about the level of contamination of nearby areas of tunnels, about the localisation and migration capabilities of radionuclides, and about the fractions of distribution of these radionuclides in soil.




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