Displaying similar documents to “Relaxed algorithms for p -adic numbers”

Raabe’s formula for p -adic gamma and zeta functions

Henri Cohen, Eduardo Friedman (2008)

Annales de l’institut Fourier

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The classical Raabe formula computes a definite integral of the logarithm of Euler’s Γ -function. We compute p -adic integrals of the p -adic log Γ -functions, both Diamond’s and Morita’s, and show that each of these functions is uniquely characterized by its difference equation and p -adic Raabe formula. We also prove a Raabe-type formula for p -adic Hurwitz zeta functions.

The Heisenberg uncertainty relation in harmonic analysis on p -adic numbers field

Cui Minggen, Zhang Yanying (2005)

Annales mathématiques Blaise Pascal

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In this paper, two important geometric concepts–grapical center and width, are introduced in p -adic numbers field. Based on the concept of width, we give the Heisenberg uncertainty relation on harmonic analysis in p -adic numbers field, that is the relationship between the width of a complex-valued function and the width of its Fourier transform on p -adic numbers field.

Integrable functions for the Bernoulli measures of rank 1

Hamadoun Maïga (2010)

Annales mathématiques Blaise Pascal

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In this paper, following the p -adic integration theory worked out by A. F. Monna and T. A. Springer [, ] and generalized by A. C. M. van Rooij and W. H. Schikhof [, ] for the spaces which are not σ -compacts, we study the class of integrable p -adic functions with respect to Bernoulli measures of rank 1 . Among these measures, we characterize those which are invertible and we give their inverse in the form of series.