Related papers: Notes on p-adic numbers

These notes give a basic introduction to the theory of $p$-adic and motivic zeta functions, motivic integration, and the monodromy conjecture.

This note studies, and partially solves, 3 elementary questions about continuous rational functions on real (and p-adic) algebraic varieties: Can one restrict such a function to a subvariety? Can one extend such a function from a…

These informal notes concern some basic themes of harmonic analysis related to representations of groups.

An overview of some basic notions is given, especially with an eye towards somewhat "fractal" examples, such as infinite products of cyclic groups, p-adic numbers, and solenoids.

These are notes on adic spaces. They are made available upon some requests in order to make quoting them easier.

This survey describes work on the number of variables required to ensure that a system of r quadratic forms over the p-adics has a non-trivial common zero.

The main objective of this article is to give and classify new formulas of $p$-adic integrals and blend these formulas with previously well known formulas. Therefore, this article gives briefly the formulas of $p$-adic integrals which were…

We will study p-adic invariant integerals involving trigonometric functions

These notes give an elementary approach to parts of the theory of standard Borel and analytic spaces.

A field with an absolute value function is a basic type of metric space, which includes the real and complex numbers with their standard metrics, and ultrametrics on fields like the p-adic numbers. Here we try to give some perspectives of…

These informal notes deal with a number of questions related to sums and integrals in analysis.

We show the existence of fundamental solutions for p-adic pseudo-differential operators with polynomial symbols.

We introduce operations with p-adic integer coefficients, associated to idempotents in the quantum cohomology of a monotone symplectic manifold, and apply them to the structure of the quantum connection.

In this paper we will investigate properties of modified q-Euler numbers and polynomials. The main purpose of this paper is to construct p-adic q-Euler measures.

In this survey I discuss A. Buium's theory of ``differential equations in the p-adic direction'' ([Bu05]) and its interrelations with ``geometry over fields with one element'', on the background of various approaches to p-adic models in…

We introduce $p$-derivations and give a few basic ways in which they act like derivatives by numbers.

We explain the concept of p-values presupposing only rudimentary probability theory. We also use the occasion to introduce the notion of p-function, so that p-values are values of a p-function. The explanation is restricted to the discrete…

A complete p-adic Khintchine type theorem for approximation by p-adic algebraic numbers is established.

This object of this paper to give several properties and applications of multiple p-adic q-L-function of two variables.

We investigate some interesting properties of Bernstein polynomials associated with boson p-adic integrals on Zp.