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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.NT2012
The prime number race and zeros of Dirichlet -functions off the critical line. III
Kevin Ford, Sergei Konyagin, Youness Lamzouri
We show, for any and distinct reduced residues , the existence of certain hypothetical sets of zeros of Dirichlet -functions lying off the critical line im…