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Showing 2006 · math.NTShow all
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math.NT2006★ 2 cited
Almost all elliptic curves are Serre curves
Nathan Jones
Using a multidimensional large sieve inequality, we obtain a bound for the mean square error in the Chebotarev theorem for division fields of elliptic curves that is as strong as w…
math.NT2006★ 1 cited
Trace formulas and class number sums
Nathan Jones
We specialize the Eichler-Selberg trace formula to obtain trace formulas for the prime-to-level Hecke action on cusp forms for certain congruence groups of arbitrary level. As a co…