Differences of Partition Functions — the Anti-telescoping Method

نویسنده

  • GEORGE E. ANDREWS
چکیده

The late Leon Ehrenpreis originally posed the problem of showing that the difference of the two Rogers-Ramanujan products had positive coefficients without invoking the Rogers-Ramanujan identities. We first solve the problem generalized to the partial products and subsequently solve several related problems. The object is to introduce the Anti-Telescoping Method which is capable of wide generalization.

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تاریخ انتشار 2011