Christian Elsholtz

most citedOn Thin Sets of Primes Expressible as Sumsets

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math.NT2008

Non-simple abelian varieties in a family: geometric and analytic approaches

J. Ellenberg, C. Elsholtz, C. Hall +1

Let $A_{t}$ be a family of abelian varieties over a number field $k$ parametrized by a rational coordinate $t$ , and suppose the generic fiber of $A_{t}$ is geometrically simple. For ex…

math.NT2002★ 1 cited

On Thin Sets of Primes Expressible as Sumsets

Ernie Croot, Christian Elsholtz

Suppose that P is an infinite set of primes such that P = A + B + C, where A,B,C are sets with at least two elements. We show that if P(x) > c x/log^d x (where P(x) = the number of…