On automorphism groups of -adic Schottky curves
On Bernoulli identities and applications.
Bernoulli numbers appear as special values of zeta functions at integers and identities relating the Bernoulli numbers follow as a consequence of properties of the corresponding zeta functions. The most famous example is that of the special values of the Riemann zeta function and the Bernoulli identities due to Euler. In this paper we introduce a general principle for producing Bernoulli identities and apply it to zeta functions considered by Shintani, Zagier and Eie. Our results include some of...
On Carlitz's type -Euler numbers associated with the fermionic -adic integral on .
On character sums of rational functions over local fields
On Morita’s -adic -function
On multiple generalized -Genocchi polynomials and their applications.
On multiple interpolation functions of the Nörlund-type -Euler polynomials.
On ordinary linear -adic differential equations with algebraic function coefficients
On p-Adic Power Series.
On some arithmetical properties of the Genocchi numbers and polynomials.
On some expansions of p-adic functions
On special values of generalized p-adic hypergeometric functions
On the Behaviour of p-Adic L-Functions at s= 0.
On the distribution of the -Euler polynomials and the -Genocchi polynomials of higher order.
On the identities of symmetry for the generalized Bernoulli polynomials attached to of higher order.
On the identities of symmetry for the -Euler polynomials of higher order.
On the ?-invariant of the ?-transform of a rational function.
On the linear independence of -adic -functions modulo
Let be a prime. Let such that , let be characters of conductor not divided by and let be the Teichmüller character. For all between and , for all between and , setLet and let be a prime of the valuation ring of . For all let be the Iwasawa series associated to and its reduction modulo . Finally let be an algebraic closure of . Our main result is that if the characters are all distinct modulo , then and the series are linearly independent over a certain...
On the Poincaré series associated to the p-adic points on a curve
On the structure of compact subsets of ℂₚ