On the Factorization of p-adic L-series.
On the Functional Equation of the Artin L-Function for Characters of Real Representations.
On the generalized Bernoulli numbers that belong to unequal characters.
The study of class number invariants of absolute abelian fields, the investigation of congruences for special values of L-functions, Fourier coefficients of half-integral weight modular forms, Rubin's congruences involving the special values of L-functions of elliptic curves with complex multiplication, and many other problems require congruence properties of the generalized Bernoulli numbers (see [16]-[18], [12], [29], [3], etc.). The first steps in this direction can be found in the papers of...
On the ?-invariant of the ?-transform of a rational function.
On the power series attached to p-adic L-functions.
On the proof of Humbert's volume formula.
On the Rationality of Certain Generating Functions.
On the search of genuine -adic modular -functions for . With a correction to: On -adic -functions of over totally real fields
On the values of p-adic L-functions at positive integers
On Values of Zeta Functions and ?-adic Euler Characteristc.
On zeroes of the twisted tensor L-function.
Overconvergent modular symbols and -adic -functions
This paper is a constructive investigation of the relationship between classical modular symbols and overconvergent -adic modular symbols. Specifically, we give a constructive proof of acontrol theorem (Theorem 1.1) due to the second author [19] proving existence and uniqueness of overconvergent eigenliftings of classical modular eigensymbols of non-critical slope. As an application we describe a polynomial-time algorithm for explicit computation of associated -adic -functions in this case. In...