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Analytic Number Theory Homework #4 (due Thursday, May 8, 2014) Problem 1: Let χ be a Dirichlet character (mod q) for some integer q > 1. Prove that L(1, χ) log q. Problem 2: Fix a prime p. Show that
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Document Date: 2014-04-16 14:02:50
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Number theory
Analytic number theory
Modular forms
Moduli theory
Dirichlet character
Coprime
Root of unity
Modular curve
Mathematics
Abstract algebra
Analytic Number Theory Homework #4 (due Thursday, May 8, 2014) Problem 1: Let χ be a Dirichlet character (mod q) for some integer q > 1. Prove that L(1, χ) log q. Problem 2: Fix a prime p. Show that