Partition function (number theory): Difference between revisions

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==References==

* Tom M. Apostol, ''Modular functions and Dirichlet Series in Number Theory'' (1990), Springer-Verlag, New York. ISBN 0-387-97127-0 ''(See chapter 5)''.

* Lehmer, D. H.; On the remainder and convergence of the series for the partition function;

:Trans. Amer. Math. Soc. 46(1939) 362-373.

:Main formula (no derivatives), remainder, but older form for A_k(n).

* Roy. Soc. Math. Tables, vol 4, Tables of partitions, 1962;

:Gupta, Gwyther, Miller.

:Has text, nearly complete bibliography,

:but they (and Abramowitz) missed the Selberg formula for A_k(n) which is in:

* Whiteman, A. L.; A sum connected with the series for the partition function;

:Pacific Journal of Math. 6(1956) 159-176.

:Selberg formula. The older form is the finite Fourier expansion of Selberg.

* Rademacher's contributions are in: Collected Papers of Hans Rademacher;

:MIT Press, 1974; v II, p 100-107, 108-122, 460-475.