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math.NT2012★ 1 cited
Large even order character sums
Leo Goldmakher, Youness Lamzouri
A classical theorem of Paley asserts the existence of an infinite family of quadratic characters whose character sums become exceptionally large. In this paper, we establish an ana…
math.NT2010
Extreme values of
Youness Lamzouri
In this paper we study the distribution of extreme values of , as varies over primitive characters modulo a large prime .
math.NT2010★ 1 cited
On the distribution of extreme values of zeta and -functions in the strip
Youness Lamzouri
We study the distribution of large (and small) values of several families of -functions on a line where . We consider the Riemann zeta function …