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Algebraic independence of reciprocal sums of binary recurrences

Authors:	Kumiko Nishioka

Affiliation:	(1) Mathematics, Hiyoshi Campus, Keio University, 4-1-1 Hiyoshi, 223 Yokohama, Japan

Abstract:	Algebraic independence of the numbers $sumnolimits_{h geqslant 0} {frac{{h^j zeta ^h }}{{R_{d^h + 1} }}}$ , where{R_n}_n0 is a sequence of integers satisfying a binary linear recurrence relation, is studied by Mahler's method.

Keywords:	11J81
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