Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Combinatorial applications of Möbius inversion
HTML articles powered by AMS MathViewer

by Marie Jameson and Robert P. Schneider PDF
Proc. Amer. Math. Soc. 142 (2014), 2965-2971 Request permission

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.
References
  • George E. Andrews, Concave compositions, Electron. J. Combin. 18 (2011), no. 2, Paper 6, 13. MR 2795783
  • Tom M. Apostol, Introduction to analytic number theory, Undergraduate Texts in Mathematics, Springer-Verlag, New York-Heidelberg, 1976. MR 0434929
  • Jan H. Bruinier and Ken Ono, The arithmetic of Borcherds’ exponents, Math. Ann. 327 (2003), no. 2, 293–303. MR 2015071, DOI 10.1007/s00208-003-0452-7
  • Ken Ono, The web of modularity: arithmetic of the coefficients of modular forms and $q$-series, CBMS Regional Conference Series in Mathematics, vol. 102, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2004. MR 2020489
  • Ken Ono, Parity of the partition function, Adv. Math. 225 (2010), no. 1, 349–366. MR 2669356, DOI 10.1016/j.aim.2010.02.023
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 11A25, 11P84, 05A17
  • Retrieve articles in all journals with MSC (2010): 11A25, 11P84, 05A17
Additional Information
  • Marie Jameson
  • Affiliation: Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322
  • MR Author ID: 913196
  • ORCID: 0000-0003-0879-2826
  • Email: mjames7@emory.edu
  • Robert P. Schneider
  • Affiliation: Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322
  • ORCID: 0000-0002-4572-2344
  • Email: robert.schneider@emory.edu
  • Received by editor(s): September 10, 2012
  • Published electronically: May 12, 2014
  • Communicated by: Matthew A. Papanikolas
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 2965-2971
  • MSC (2010): Primary 11A25, 11P84, 05A17
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12020-X
  • MathSciNet review: 3223351