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Igusa's Conjecture on Exponential Sums Modulo p and p2 and the Motivic Oscillation Index

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Publication:3516019
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DOI10.1093/imrn/rnm118zbMath1225.11100arXivmath/0602438OpenAlexW2047132631WikidataQ123289424 ScholiaQ123289424MaRDI QIDQ3516019

Raf Cluckers

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602438



Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Zeta functions and (L)-functions (11S40)


Related Items (7)

Igusa's conjecture on exponential sums modulo \(p^m\) and the local-global principle ⋮ Newton polygon and distribution of integer points in sublevel sets ⋮ Exponential sums: Questions by Denef, Sperber, and Igusa ⋮ New bounds for exponential sums with a non-degenerate phase polynomial ⋮ Integration on valuation fields over local fields ⋮ IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES ⋮ On the motivic oscillation index and bound of exponential sums modulo \(p^m\) via analytic isomorphisms






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