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20012011
most citedL-functions with large analytic rank and abelian varieties with large algebraic rank over function fields

14 citations · 22 across the 4 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

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…