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Showing papers by "Henryk Iwaniec published in 2020"

Journal Article•DOI•
Critical zeros of lacunary L-functions

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J. B. Conrey1, J. B. Conrey2, Henryk Iwaniec3, Henryk Iwaniec4•
University of Bristol1, American Institute of Mathematics2, ETH Zurich3, Rutgers University4
18 May 2020-Acta Arithmetica
TL;DR: In this paper, it was shown that a hundred percent of the zeros of the Riemann zeta function are on the critical line in specific segments, assuming the existence of a sequence of exceptional discriminants of quadratic fields.
Abstract: Assuming the existence of a sequence of exceptional discriminants of quadratic fields, we show that a hundred percent of zeros of the Riemann zeta function are on the critical line in specific segments. This is a special case of a more general statement for lacunary $L$-functions.

5 citations