Corral 发表于 2025-3-23 11:53:42
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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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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
http://reply.papertrans.cn/17/1667/166621/166621_18.png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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