HEINE’S BASIC TRANSFORM AND A PERMUTATION GROUP FOR q-HARMONIC SERIES
نویسندگان
چکیده
Let p = 1/q ∈ Z \ {0,±1}. The new bound μ(hp(1)) 6 2.46497868 . . . for the irrationality measure of the q-harmonic series hp(1) = ∑∞ n=1 q n/(1 − qn) is proved. The essential ingredient of the proof is a permutation group originated by classical transform of the Heine series. 2000 Mathematics Subject Classification. 11J82, 33D15.
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