Combinatorial applications of Möbius inversion-Reference-Cited by-同舟云学术

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Combinatorial applications of Möbius inversion

Published:2014-05-12 Issue:9 Volume:142 Page:2965-2971
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Jameson Marie,Schneider Robert

Abstract

In important work on the parity of the partition function, Ono (2010) related values of the partition function to coefficients of a certain mock theta function modulo 2. In this paper, we use Möbius inversion to give analogous results which relate several combinatorial functions via identities rather than congruences.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2014-142-09/S0002-9939-2014-12020-X/S0002-9939-2014-12020-X.pdf

Reference5 articles.

1. Concave compositions;Andrews, George E.;Electron. J. Combin.,2011

2. Undergraduate Texts in Mathematics;Apostol, Tom M.,1976

3. The arithmetic of Borcherds’ exponents;Bruinier, Jan H.;Math. Ann.,2003

4. CBMS Regional Conference Series in Mathematics;Ono, Ken,2004

5. Parity of the partition function;Ono, Ken;Adv. Math.,2010

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Theta Identity of Gauss Connecting Functions from Additive and Multiplicative Number Theory;Transcendence in Algebra, Combinatorics, Geometry and Number Theory;2021

2. The partition function p(n) in terms of the classical Möbius function;The Ramanujan Journal;2018-03-20

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