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
The Affine Frame in -adic Analysis
In this paper, we will introduce the concept of affine frame in wavelet analysis to the field of -adic number, hence provide new mathematic tools for application of -adic analysis.
The average distribution of cubic exponential sums.
The Behavior of Rigid Analytic Functions Around Orbits of Elements of <>
The dilogarithm and the norm residue symbol
The expected number of zeros of a random system of -adic polynomials.
The Heisenberg uncertainty relation in harmonic analysis on -adic numbers field
In this paper, two important geometric concepts–grapical center and width, are introduced in -adic numbers field. Based on the concept of width, we give the Heisenberg uncertainty relation on harmonic analysis in -adic numbers field, that is the relationship between the width of a complex-valued function and the width of its Fourier transform on -adic numbers field.
The hyperadelic gamma function.
The Kazandzidis supercongruences. A simple proof and an application
The measure-theoretical approach to -adic probability theory