Titlebook: An Introduction to the Langlands Program; D. Bump,J. W. Cogdell,S. S. Kudla,Joseph Bernstein Textbook 2004 Birkhäuser Boston 2004 Grad.alg

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Die digitale Transformation der MedienIn the previous chapter we examined representations of Galois groups of global fields into .(., ℂ), and their .-functions. Such representations are necessarily of finite image. We saw at the end that an important example is supplied by modular forms of weight 1.

Connotation

https://doi.org/10.1007/978-3-658-36276-8This chapter sketches the passage from classical holomorphic modular forms f weight . and level . to automorphic representations of . = .(.) of GL.(A).

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Elementary Theory of ,-Functions II,This chapter is partly a development, with some sketches of proofs, of the main points of the first chapter, and partly a survey of the important topic of the zeros of .-functions.

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哥哥喷涌而出

,-Functions of Elliptic Curves and Modular Forms,In the previous chapter we examined representations of Galois groups of global fields into .(., ℂ), and their .-functions. Such representations are necessarily of finite image. We saw at the end that an important example is supplied by modular forms of weight 1.

apiary

From Modular Forms to Automorphic Representations,This chapter sketches the passage from classical holomorphic modular forms f weight . and level . to automorphic representations of . = .(.) of GL.(A).