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arxiv: 1210.2743 · v2 · pith:OUGAGYXVnew · submitted 2012-10-09 · 🧮 math.NT

Character sums determined by low degree isogenies of elliptic curves

classification 🧮 math.NT
keywords isogeniescharactersumscurvesdegreedeterminedellipticarbitrary
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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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