A derivation of the Hardy-Ramanujan formula from an arithmetic formula-Reference-Cited by-同舟云学术

A derivation of the Hardy-Ramanujan formula from an arithmetic formula

Published:2012-12-26 Issue:6 Volume:141 Page:1903-1911
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dewar Michael,Murty M.

Abstract

We re-prove the Hardy-Ramanujan asymptotic formula for the partition function without using the circle method. We derive our result from recent work of Bruinier and Ono on harmonic weak Maass forms.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-06/S0002-9939-2012-11458-3/S0002-9939-2012-11458-3.pdf

Reference8 articles.

1. J. H. Bruinier and K. Ono. Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. arXiv:1104.1182, Apr. 2011.

2. Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues;Bruinier, Jan H.;Math. Ann.,2008

3. J. H. Bruinier, K. Ono, and A. Sutherland. Class polynomials for nonholomorphic modular functions, in preparation.

4. Binary Quadratic Forms

5. Heegner points and derivatives of 𝐿-series. II;Gross, B.;Math. Ann.,1987

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