Irrationality proof of certain Lambert series using little q-Jacobi polynomials

Details Irrationality proof of certain Lambert series using little q-Jacobi polynomials Irrationality proof of certain Lambert series using little q-Jacobi polynomials

2007-01-12

arxiv.org/abs/math/0701345v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

We apply the Pade technique to find rational approximations to % \[h^{\pm}(q_1,q_2)=\sum_{k=1}^\infty\frac{\q_1^k}{1\pm \q_2^k}, 0

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