Exponential sums and polynomial congruences along \(p\)-adic submanifolds
From MaRDI portal
Publication:549261
DOI10.1016/j.ffa.2011.01.003zbMath1281.11080arXiv0910.1887OpenAlexW2169409639MaRDI QIDQ549261
Dirk Segers, Wilson A. Zuniga-Galindo
Publication date: 7 July 2011
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.1887
Poincaré seriescongruences in many variablesIgusa local zeta function\(p\)-adic manifoldsexponential sums \(\mod p^m\)
Gauss and Kloosterman sums; generalizations (11L05) Congruences in many variables (11D79) Local ground fields in algebraic geometry (14G20) Zeta functions and (L)-functions (11S40)
Related Items
Cites Work
- \(p\)-adic and real subanalytic sets
- Lectures on forms of higher degree. Notes by S. Raghavan
- The rationality of the Poincaré series associated to the p-adic points on a variety
- Local zeta function for nondegenerate homogeneous mappings
- Reduction modulo \(p^ n\) des sous-ensembles analytiques fermés de \(\mathbb Z_p^N\).
- Weights of exponential sums, intersection cohomology, and Newton polyhedra
- Character sums over \(p\)-adic fields
- Exponential sums over lifts of points.
- Exponential sums along \(p\)-adic curves.
- Asymptotic expansion of an oscillating integral on a hypersurface
- Algebraic approximation of structures over complete local rings
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Local Zeta Functions Supported on Analytic Submanifolds and Newton Polyhedra
- Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra
- On Exponential Sums in Finite Fields
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item