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An Introduction to the Langlands Program pp 197–228Cite as

Birkhäuser

Analytic Theory of L-Functions for GL n

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Abstract

The purpose of this chapter is to describe the analytic theory of L-functions for cuspidal automorphic representations of GL n over a global field. There are two approaches to L-functions of GL n : via integral representations or through analysis of Fourier coefficients of Eisenstein series. In this chapter we will discuss the theory via integral representations.

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Authors
  1. J. W. Cogdell
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Editors and Affiliations

  1. Department of Mathematics, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel

    Joseph Bernstein

  2. Department of Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel

    Stephen Gelbart

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Cogdell, J.W. (2004). Analytic Theory of L-Functions for GL n . In: Bernstein, J., Gelbart, S. (eds) An Introduction to the Langlands Program. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8226-2_9

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  • DOI: https://doi.org/10.1007/978-0-8176-8226-2_9

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3211-3

  • Online ISBN: 978-0-8176-8226-2

  • eBook Packages: Springer Book Archive

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