Mathematics – Number Theory
Scientific paper
2010-12-07
Mathematics
Number Theory
10 pages
Scientific paper
Starting from a classical generating series for Bessel functions due to Schlomilch, we use Dwork's relative dual theory to broadly generalize unit-root results of Dwork on Kloosterman sums and Sperber on hyperkloosterman sums. In particular, we express the (unique) p-adic unit root of an arbitrary exponential sum on the torus in terms of special values of the p-adic analytic continuation of a ratio of A-hypergeometric functions. In contrast with the earlier works, we use noncohomological methods and obtain results that are valid for arbitrary exponential sums without any hypothesis of nondegeneracy.
Adolphson Alan
Sperber Steven
No associations
LandOfFree
On unit root formulas for toric exponential sums does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On unit root formulas for toric exponential sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On unit root formulas for toric exponential sums will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-556331