64 citations · 140 across the 23 of their papers we have counts for
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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
Dirichlet series associated to cubic fields with given quadratic resolvent
Henri Cohen, Frank Thorne
Let k be a quadratic field. We give an explicit formula for the Dirichlet series enumerating cubic fields whose quadratic resolvent field is isomorphic to k. Our work is a sequel t…