15 citations · 57 across the 25 of their papers we have counts for
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math.NT2003★ 2 cited
Elliptic curves and analogies between number fields and function fields
Douglas Ulmer
The well-known analogies between number fields and function fields have led to the transposition of many problems from one domain to the other. In this paper, we will discuss traff…
math.NT2003★ 15 cited
Geometric non-vanishing
Douglas Ulmer
We consider -functions attached to representations of the Galois group of the function field of a curve over a finite field. Under mild tameness hypotheses, we prove non-vanishi…