Bounds for p-adic exponential sums and log-canonical thresholds

DOI10.1353/ajm.2016.0003zbMath1341.11048arXiv1406.0646OpenAlexW1589043872MaRDI QIDQ2800421

Raf Cluckers, Willem Veys

Publication date: 15 April 2016

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0646

zbMATH Keywords

log-canonical thresholds\(p\)-adic exponential sumsAx-Kochen principle

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Estimates on character sums (11L40) Trigonometric and exponential sums (general theory) (11L03)

Related Items (4)

Igusa's conjecture on exponential sums modulo \(p^m\) and the local-global principle ⋮ New bounds for exponential sums with a non-degenerate phase polynomial ⋮ IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES ⋮ On the log canonical threshold and numerical data of a resolution in dimension 2

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