A note on p-adic L-functions
β Scribed by L.C Washington
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 254 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Dekker, New York), we showed that if a function f (x) meromorphic in all C p is a solution of a homogeneous linear differential equation (E) with coefficients in Q (x), then f # C p (x). Here we show that this conclusion is false in the case where (E) is with coefficients not in Q (x). ## 2001 Acad
## Abstract In this paper we present a new method for evaluating exponential sums associated to a restricted power series in one variable modulo __p__^__l__^ , a power of a prime. We show that for sufficiently large __l__, these sums can be expressed in terms of Gauss sums. Moreover, we study the a
## Absttrct. Wx t-cfet to the p-adic genwl~rtitn sf ttrw~ transformations propcwd by Everett and Uam [ 2) , dnd remark that the case at onedimcnsional posirson space rs not included there. We g+c a study of cuch a case, tInding out some peculiar features in this paper WC shall point out particular
We extend the methods of our previous article to express certain special values of \(p\)-adic hypergeometric functions in terms of the \(p\)-adic gamma function and Jacobi sums over general finite fields. These results are obtained via p-adic congruences for Jacobi sums in terms of multinomial coeff