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math.NT2022★ 1 cited
Rank growth of elliptic curves in and quartic extensions of the rationals
Daniel Keliher
We investigate the rank growth of elliptic curves from to and quartic extensions . In particular, we are interested in the quantity $\mathrm{…
math.NT2015★ 3 cited
p-adic variation of unit root L-functions
C. Douglas Haessig, Steven Sperber
Dwork's conjecture, now proven by Wan, states that unit root L-functions "coming from geometry" are p-adic meromorphic. In this paper we study the p-adic variation of a family of u…