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Character sums determined by low degree isogenies of elliptic curves

Number Theory 2013-02-11 v2

Abstract

We consider character sums determined by isogenies of elliptic curves over finite fields. We prove a congruence condition for character sums attached to arbitrary cyclic isogenies, and produce explicit formulas for isogenies of small degree.

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Cite

@article{arxiv.1210.2743,
  title  = {Character sums determined by low degree isogenies of elliptic curves},
  author = {Dustin Moody and Christopher Rasmussen},
  journal= {arXiv preprint arXiv:1210.2743},
  year   = {2013}
}

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11 pages