Elementary Theory of L-Functions I

E. Kowalski

Chapter 1 in An Introduction to the Langlands Program, 2004, pp 1-20 from Springer

Abstract: Abstract In this first chapter we will define and describe, in a roughly chronological order from the time of Euler to that of Hecke, some interesting classes of holomorphic functions with strange links to many aspects of number theory. Later chapters will explain how at least some of the mysterious aspects are understood today. But it should be emphasized that there are still many points that are not fully explained, even in a very sketchy, philosophical way.

Keywords: Prime Ideal; Zeta Function; Galois Group; Number Field; Elementary Theory (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8226-2_1

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DOI: 10.1007/978-0-8176-8226-2_1

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