• Corpus ID: 16000436

# Distribution of the partition function modulo m

@inproceedings{Ono2001DistributionOT,
title={Distribution of the partition function modulo m},
author={Ken Ono},
year={2001}
}
• K. Ono
• Published 2001
• Mathematics
and he conjectured further such congruences modulo arbitrary powers of 5, 7, and 11. Although the work of A. O. L. Atkin and G. N. Watson settled these conjectures many years ago, the congruences have continued to attract much attention. For example, subsequent works by G. Andrews, A. O. L. Atkin, F. Garvan, D. Kim, D. Stanton, and H. P. F. Swinnerton-Dyer ([An-G], [G], [G-K-S], [At-Sw2]), in the spirit of F. Dyson, have gone a long way towards providing combinatorial and physical explanations…
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When Ramanujan died in 1920, he left behind an incomplete, unpublished manuscript in two parts on the partition function p(n) and, in contemporary terminology, Ramanujan’s tau-function τ(n). The
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When Ramanujan died in 1920, he left behind an incomplete, unpublished manuscript in two parts on the partition function p(n) and, in contemporary terminology, Ramanujan’s tau-function τ(n). The
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We will construct θ-series of weight 1/2 and 3/2 for some congruence subgroups of SL(2,ℤ) by taking appropriate coefficients of the representation $$\mathop{R}\limits^{\sim }$$ of SL(2;ℝ),