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A purely analytical lower bound for L ( 1 , χ )

Olivier Ramaré (2009)

Annales mathématiques Blaise Pascal

We give a simple proof of L ( 1 , χ ) q 2 ω ( q ) when χ is an odd primitiv quadratic Dirichlet character of conductor q . In particular we do not use the Dirichlet class-number formula.

A remark on product of Dirichlet L-functions

Kirti Joshi, C. S. Yogananda (1999)

Acta Arithmetica

While trying to understand the methods and the results of [3], especially in Section 2, we stumbled on an identity (*) below, which looked worth recording since we could not locate it in the literature. We would like to thank Dinesh Thakur and Dipendra Prasad for their comments.

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