Séries d'Eisenstein et transcendance
Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials.
Some identities of degenerate special polynomials
In this paper, by considering higher-order degenerate Bernoulli and Euler polynomials which were introduced by Carlitz, we investigate some properties of mixed-type of those polynomials. In particular, we give some identities of mixed-type degenerate special polynomials which are derived from the fermionic integrals on Zp and the bosonic integrals on Zp.
Some identities on the generalized -Bernoulli numbers and polynomials associated with -Volkenborn integrals.
Some identities on the -Genocchi polynomials of higher-order and -Stirling numbers by the fermionic -adic integral on .
Some subregular germs for -adic .
Strong versions of Kummer-type congruences for Genocchi numbers and polynomials and tangent coefficients
We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.
Structure de Frobénius des équations différentielles -adiques
Structure de Frobénius des systèmes différentiels, I et II
Sums of products of -Euler polynomials and numbers.
Sur la transformation de Fourier -adique
Sur les fonctions exponentielles des corps locaux
Systèmes d'équations analytiques
Systèmes différentiels linéaires -adiques, structure de Frobenius faible