Characterizing the number of m-ary partitions modulo m

George E. Andrews; Aviezri S. Fraenkel; James A. Sellers

doi:10.4169/amer.math.monthly.122.9.880

Characterizing the number of m-ary partitions modulo m

George E. Andrews
, Aviezri S. Fraenkel
, James A. Sellers

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Motivated by a recent conjecture of the second author related to the ternary partition function, we provide an elegant characterization of the values bm(mn) modulo m where bm(n) is the number of m-ary partitions of the integer n and m ≥ 2 is a fixed integer.

Original language	English (US)
Pages (from-to)	880-885
Number of pages	6
Journal	American Mathematical Monthly
Volume	122
Issue number	9
DOIs	https://doi.org/10.4169/amer.math.monthly.122.9.880
State	Published - 2015

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.4169/amer.math.monthly.122.9.880

Cite this

@article{21a4ef39acd64d80886804a7316605a8,

title = "Characterizing the number of m-ary partitions modulo m",

abstract = "Motivated by a recent conjecture of the second author related to the ternary partition function, we provide an elegant characterization of the values bm(mn) modulo m where bm(n) is the number of m-ary partitions of the integer n and m ≥ 2 is a fixed integer.",

author = "Andrews, \{George E.\} and Fraenkel, \{Aviezri S.\} and Sellers, \{James A.\}",

note = "Publisher Copyright: {\textcopyright} The Mathematical Association Of America.",

year = "2015",

doi = "10.4169/amer.math.monthly.122.9.880",

language = "English (US)",

volume = "122",

pages = "880--885",

journal = "American Mathematical Monthly",

issn = "0002-9890",

publisher = "Taylor and Francis Ltd.",

number = "9",

}

TY - JOUR

T1 - Characterizing the number of m-ary partitions modulo m

AU - Andrews, George E.

AU - Fraenkel, Aviezri S.

AU - Sellers, James A.

N1 - Publisher Copyright: © The Mathematical Association Of America.

PY - 2015

Y1 - 2015

N2 - Motivated by a recent conjecture of the second author related to the ternary partition function, we provide an elegant characterization of the values bm(mn) modulo m where bm(n) is the number of m-ary partitions of the integer n and m ≥ 2 is a fixed integer.

AB - Motivated by a recent conjecture of the second author related to the ternary partition function, we provide an elegant characterization of the values bm(mn) modulo m where bm(n) is the number of m-ary partitions of the integer n and m ≥ 2 is a fixed integer.

UR - https://www.scopus.com/pages/publications/84975295570

UR - https://www.scopus.com/pages/publications/84975295570#tab=citedBy

U2 - 10.4169/amer.math.monthly.122.9.880

DO - 10.4169/amer.math.monthly.122.9.880

M3 - Article

AN - SCOPUS:84975295570

SN - 0002-9890

VL - 122

SP - 880

EP - 885

JO - American Mathematical Monthly

JF - American Mathematical Monthly

IS - 9

ER -

Characterizing the number of m-ary partitions modulo m

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this