Twists of hyperelliptic curves by integers in progressions modulo $p$

David Krumm; Paul Pollack

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arXiv · 1807.00972

Twists of hyperelliptic curves by integers in progressions modulo $p$

David Krumm·Paul Pollack

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Abstract

Let $f(x)$ be a nonconstant polynomial with integer coefficients and nonzero discriminant. We study the distribution modulo primes of the set of squarefree integers $d$ such that the curve $dy^2=f(x)$ has a nontrivial rational or integral point.

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David Krumm, Paul Pollack. 2018-07-03. Twists of hyperelliptic curves by integers in progressions modulo $p$. https://arxiv.org/abs/1807.00972

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