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Generalizations of Hirschhorn’s Results on Two Remarkable q-Series Expansions

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Recently, Hirschhorn investigated vanishing coefficients of the arithmetic progressions in the following two q-series expansions ∑n=0∞a(n)qn:=∏n=1∞(1+q5n−4)(1+q5n−1)(1−q10n−9)3(1−q10n−1)3,∑n=0∞b(n)... Click to show full abstract

Recently, Hirschhorn investigated vanishing coefficients of the arithmetic progressions in the following two q-series expansions ∑n=0∞a(n)qn:=∏n=1∞(1+q5n−4)(1+q5n−1)(1−q10n−9)3(1−q10n−1)3,∑n=0∞b(n)...

Keywords: generalizations hirschhorn; series; two remarkable; hirschhorn results; series expansions; results two

Journal Title: Experimental Mathematics
Year Published: 2020

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