Exponential sums: Questions by Denef, Sperber, and Igusa

Raf Cluckers

Type: Article

Publication Date: 2009-12-03

Citations: 22

DOI: https://doi.org/10.1090/s0002-9947-09-05084-3

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Abstract

We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S.,

Locations

arXiv (Cornell University) - View - PDF
Transactions of the American Mathematical Society - View - PDF

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Works That Cite This (22)

Action	Title	Year	Authors
+ PDF Chat	IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES	2019	Raf Cluckers Mircea Mustaţǎ Kien Huu Nguyen
+	New bounds for exponential sums with a non-degenerate phase polynomial	2019	Wouter Castryck Kien Huu Nguyen
+ PDF Chat	On the motivic oscillation index and bound of exponential sums modulo p via analytic isomorphisms	2021	Kien Huu Nguyen Willem Veys
+	ON A CONJECTURE OF IGUSA	2013	Ben Lichtin
+	Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields	2014	Edwin León-Cardenal W. A. Zúñiga–Galindo
+ PDF Chat	The local sum conjecture in two dimensions	2020	Robert Fraser James Wright
+	A survey of Igusa’s local zeta function	2016	Diane Meuser
+	Bounds for p -adic exponential sums and log-canonical thresholds	2016	Raf Cluckers Willem Veys
+	Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities	2016	Bart Bories Willem Veys
+ PDF Chat	The Fourier restriction and Kakeya problems over rings of integers modulo N	2018	Jonathan Hickman James Wright

Works Cited by This (5)

Action	Title	Year	Authors
+ PDF Chat	Igusa's Conjecture on Exponential Sums Modulo p and p2 and the Motivic Oscillation Index	2008	Raf Cluckers
+ PDF Chat	Lower Bound for the Poles of Igusa’s p-adic Zeta Functions	2006	Dirk Segers
+ PDF Chat	Igusa and Denef-Sperber conjectures on nondegenerate p-adic exponential sums	2007	Raf Cluckers
+	None	1999	Nicholas M. Katz
+	Exponential sums mod p(n) and Newton polyhedra	2001	Jan Denef Steven Sperber