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math.NT2004★ 3 cited
Converse theorems assuming a partial Euler product
David W. Farmer, Kevin Wilson
Associated to a newform is a Dirichlet series with functional equation and Euler product. Hecke showed that if the Dirichlet series has a functional equation…
math.NT2004
Basic analytic number theory
David W. Farmer
We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithme…