50 citations · 353 across the 37 of their papers we have counts for
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math.NT2003★ 10 cited
On the square-free sieve
Harald Helfgott
We improve on the best available bounds for the square-free sieve and provide a general framework for its applicability. The failure of the local-to-global principle allows us to o…
math.NT2003★ 17 cited
Root numbers and the parity problem
Harald Helfgott
Let E be a one-parameter family of elliptic curves over a number field. It is natural to expect the average root number of the curves in the family to be zero. All known counterexa…