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For integers $0 < r \leq t$, let the function $D_{r,t}(n)$ denote the number of parts among all partitions of $n$ into distinct parts that are congruent to $r$ modulo $t$.
G. Hardy and S. Ramanujan, Asymptotic formulae in combinatory analysis , Proc. London Math. Soc. Ser. 2 17
1918
Earlier work this paper cites.
H. Rademacher, A convergent series for the partition function p ( n ) p(n) . 23
1937
Earlier work this paper cites.
D. H. Lehmer, On the Maxima and Minima of Bernoulli Polynomials . American Mathematical Monthly, 47
1940
Earlier work this paper cites.
E. M. Wright, Stacks II . Quart. J. Math. Oxford Ser. 22
1971
Earlier work this paper cites.
D. Zagier, The Mellin transfom and related analytic techniques
2006
Cited alongside, same era.
O. Beckwith and H. Mertens, The number of parts in certain residue classes of integer partitions . Res. Number Theory 1
2015
Cited alongside, same era.
O. Beckwith and H. Mertens, On the number of parts of integer partitions lying in given residue classes . Ann. Comb. 21
2017
Cited alongside, same era.
K. Bringmann, W. Craig, J. Males, and K. Ono, Distributions on partitions arising from Hilbert schemes and hook lengths , preprint
Cited in the paper.
K. Bringmann, C. Jennings-Shaffer, and K. Mahlburg, On a Tauberian theorem of Ingham and Euler–Maclaurin summation , Ramanujan J., to appear
Cited in the paper.
H. Ngo and R. Rhoades. Integer partitions, probabilities and quantum modular forms
2017
Later among the works it cites.
K. Bringmann, C. Jennings-Shaffer, and K. Mahlburg, The asymptotic distribution of the rank for unimodal sequences . J. Number Theory 229
2021
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NIST Digital Library of Mathematical Functions. http://dlmf.nist.gov/, Release 1.1.3 of 2021-09-15. F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, B. I. Schneider, R. F. Boisvert, C. W. Clark, B. R. Miller, B. V.Saunders, H. S. Cohl, and M. A. McClain, eds
2021
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