Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3643
Articles: 2'487'895
Articles rated: 2609

28 March 2024
 
  » arxiv » math.AG/0111194

 Article overview


p-adic variation of L-functions of exponential sums, I
Hui June Zhu ;
Date 18 Nov 2001
Journal American Journal of Mathematics 125 (2003), 669-690.
Subject Algebraic Geometry; Number Theory | math.AG math.NT
AbstractFor a polynomial f(x) in (Z_pcap Q)[x] of degree d>2 let L(f mod p;T) be the L-function of the exponential sum of f mod p. Let NP(f mod p) denote the Newton polygon of L(f mod p;T). Let HP(f) denote the Hodge polygon of f, which is the lower convex hull in the real plane of the points (n,n(n+1)/(2d)) for 0leq nleq d-1. We prove that there is a Zariski dense subset U defined over Q in the space A^d of degree-d monic polynomials over Q such that for all f in U(Q) we have lim NP(f mod p) = HP(f) as p approaches infinity. Moreover, we determine the p-adic valuation of every coefficient of L(f mod p;T) for p large enough and f in U(Q).
Source arXiv, math.AG/0111194
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica