Igusa and Denef-Sperber Conjectures on nondegenerate p-adic exponential sums

Details Igusa and Denef-Sperber Conjectures on nondegenerate p-adic exponential sums Igusa and Denef-Sperber Conjectures on nondegenerate p-adic exponential sums

2006-06-12

arxiv.org/abs/math/0606269v2

Mathematics

Number Theory

Scientific paper

We prove the intersection of Igusa's Conjecture of [Igusa, J., "Lectures on
forms of higher degree", Lect. math. phys., Springer-Verlag, 59 (1978)] and the
Denef - Sperber Conjecture of [Denef, J. and Sperber, S., "Exponential sums mod
p^n and Newton polyhedra", Bull. Belg. Math. Soc., suppl. (2001) 55-63] on
nondegenerate exponential sums modulo p^m.

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