L-Functions (eBook, PDF)
Davide Lombardo
eBook, PDF

L-Functions (eBook, PDF)

An Elementary Introduction

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This book provides an accessible introduction to the theory of L-functions, emphasising their central role in number theory and their direct applications to key results. Designed to be elementary, it offers readers a clear pathway into the subject, starting from minimal background. It describes several important classes of L-functions - Riemann and Dedekind zeta functions, Dirichlet L-functions, and Hecke L-functions (for characters with finite image) - by showing how they are all special cases of the construction, due to Artin, of the L-function of a Galois representation. The analytic proper...

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