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Date: 20-8-2018
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The q-series identity
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where is a q-Pochhammer symbol, is the number of divisors of that are congruent to 1, 5, 7, and 11
(mod 24) minus the number of divisors of congruent to , , , and (mod 24), and is a Kronecker symbol.
REFERENCES:
Andrews, G. E. (Ed.). Percy Alexander MacMahon: Collected Papers, Vol. 2. Cambridge, MA: MIT Press, p. 260, 1986.
Andrews, G. E. "Nathan Fine, 1916-1994." Not. Amer. Math. Soc. 42, 678-679, 1995.
Sloane, N. J. A. Sequence A000377 in "The On-Line Encyclopedia of Integer Sequences."
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