Fine,s Equation
المؤلف:
Andrews, G. E
المصدر:
ercy Alexander MacMahon: Collected Papers, Vol. 2. Cambridge, MA: MIT Press,
الجزء والصفحة:
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22-8-2019
2196
Fine's Equation
The q-series identity
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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