Corral 发表于 2025-3-23 11:53:42

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露天历史剧 发表于 2025-3-23 16:38:10

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aggrieve 发表于 2025-3-23 18:42:28

https://doi.org/10.1007/978-3-642-94529-8sis it is shown that the sum of residues and the sum of orders of poles and zeroes vanishes. The Weierstrass ℘-function is introduced which together with its derivative generates the field doubly periodic functions for given periods. Its Laurent expansion features the first “modular” functions: the holomorphic Eisenstein series.

不来 发表于 2025-3-23 23:11:24

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Spirometry 发表于 2025-3-24 05:11:41

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conflate 发表于 2025-3-24 07:43:19

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AWRY 发表于 2025-3-24 12:47:23

Chicagoer Schule der Soziologie interpret a modular form as a vector in a representation space of the adelic GL(2). We then need to show that any irreducible representation of the adelic GL(2) is a tensor product of local irreducible representations, which is known as the Tensor Product Theorem and generalizes the diagonalization of Hecke operators.

松软无力 发表于 2025-3-24 14:59:36

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对待 发表于 2025-3-24 20:24:26

,Representations of SL2(ℝ),more abstract way of viewing modular forms is given by showing that they are representation vectors. The exponential map of the group . is described and it is shown how it gives rise to invariant differential operators.

vascular 发表于 2025-3-25 03:10:32

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查看完整版本: Titlebook: Automorphic Forms; Anton Deitmar Textbook 2012 Springer-Verlag London 2012 Tate‘s thesis.automorphic L-functions.modular forms.tensor prod