pacific
发表于 2025-3-23 11:44:29
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.
现存
发表于 2025-3-23 14:56:44
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.
cultivated
发表于 2025-3-23 18:59:00
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.
听写
发表于 2025-3-24 01:49:28
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.
BRINK
发表于 2025-3-24 03:25:01
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创造性
发表于 2025-3-24 06:46:18
978-3-030-15674-9Springer Nature Switzerland AG 2019
Aerophagia
发表于 2025-3-24 10:45:58
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dialect
发表于 2025-3-24 16:33:28
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乞丐
发表于 2025-3-24 20:46:10
https://doi.org/10.1007/978-3-030-15675-6Siegel modular forms; Symplectic group; Automorphic representations; L-functions; Fourier coefficients; D
Allergic
发表于 2025-3-25 00:58:04
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.