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

12 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

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10.4169/amer.math.monthly.122.9.880

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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.}",

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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.

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SP - 880

EP - 885

JO - American Mathematical Monthly

JF - American Mathematical Monthly

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Characterizing the number of m-ary partitions modulo m

Abstract

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