Nombres de Bell et analyse -adique
Nonarchimedean Harmonie Analysis and Analytic Functions.
Normal bases for the space of continuous functions defined on a subset of Zp.
Let K be a non-archimedean valued field which contains Qp and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn|n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Our aim is to find normal bases (rn(x)) for C(Vq → K), where rn(x) does not have to be a polynomial.
Normal bases of rings of continuous functions constructed with the (qₙ)-digit principle
Nouveau point de vue sur le prolongement algébrique
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.