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20052022
most citedA database of genus 2 curves over the rational numbers

50 citations · 176 across the 26 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.NT2013★ 13 cited

Zeros of L-functions outside the critical strip

Andrew R. Booker, Frank Thorne

For a wide class of Dirichlet series associated to automorphic forms, we show that those without Euler products must have zeros within the region of absolute convergence. For insta…

math.NT2013★ 15 cited

Detecting squarefree numbers

Andrew R. Booker, Ghaith A. Hiary, Jon P. Keating

We present an algorithm, based on the explicit formula for -functions and conditional on GRH, for proving that a given integer is squarefree with little or no knowledge of its f…