602 citations
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Showing 2007 · math.NTShow all
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math.NT2007
Exponential sums: questions by Denef, Sperber, and Igusa
R. Cluckers
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., \textit{Exponential sums mod and {N}ewton polyhedra}, Bull. Belg. Math. Soc., {…
math.NT2007★ 3 cited
Quasi-quadratic elliptic curve point counting using rigid cohomology
Hendrik Hubrechts
We present a deterministic algorithm that computes the zeta function of a nonsupersingular elliptic curve E over a finite field with p^n elements in time quasi-quadratic in n. An o…