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Explicit points on \(y^2+xy-t^dy=x^3\) and related character sums

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Publication:301406
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DOI10.1016/j.jnt.2016.01.002zbMath1396.11091arXiv1409.7519OpenAlexW2962931162MaRDI QIDQ301406

Christopher Davis, Tommy Occhipinti

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7519


zbMATH Keywords

rational pointscharacter sumselliptic curves over function fields


Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Polynomials over finite fields (11T06) Exponential sums (11T23)


Related Items

Explicit L-functions and a Brauer–Siegel theorem for Hessian elliptic curves ⋮ On the Brauer-Siegel ratio for abelian varieties over function fields



Cites Work

  • Explicit points on the Legendre curve. III
  • Lines on Fermat surfaces
  • On a lemma of Tate-Thompson
  • Elliptic curves with large rank over function fields
  • Explicit points on the Legendre curve
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