On p-Adic Power Series
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We obtained the region of convergence and the summation formula for some modified generalized hypergeometric series (1.2). We also investigated rationality of the sums of the power series (1.3). As a result the series (1.4) cannot be the same rational number in all Z_p.
Cite
@article{arxiv.math-ph/0402051,
title = {On p-Adic Power Series},
author = {Branko Dragovich},
journal= {arXiv preprint arXiv:math-ph/0402051},
year = {2007}
}
Comments
12 pages; Published in Lecture Notes in Pure and Applied Mathematics, Vol. 207, 65-75 (1999)