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Estimates for Weyl sums in the theory of discrete universality

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Published in 2021 at "Ramanujan Journal"

DOI: 10.1007/s11139-020-00381-9

Abstract: We prove joint and disjoint discrete universality theorems for Dirichlet L-functions $$L(s,\chi )$$ and Hurwitz zeta-functions $$\zeta (s;\beta )$$ with rational parameter $$\beta \in (0,1]$$ . Our approach does not utilize Gallagher’s lemma, which is… read more here.

Keywords: discrete universality; universality; weyl sums; estimates weyl ... See more keywords