2 citations · 2 across the 1 of their papers we have counts for
2 papers
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.NT2001
Elliptic curves with large rank over function fields
Douglas Ulmer
We produce explicit elliptic curves over \Bbb F_p(t) whose Mordell-Weil groups have arbitrarily large rank. Our method is to prove the conjecture of Birch and Swinnerton-Dyer for t…