A Restricted Partition Function Modulo 3

Authors

Naomi Utgof

Document Type

Article

Publication Date

7-20-2002

First Advisor

John Rickert

Abstract

The ordinary partition function p(n) counts the number of representations of a positive integer n as the sum of positive integers. We denote by p₃(n) the number of partitions of n with no parts divisible by 3: We demonstrate congruence relations for arithmetic sequences qⁿ+(2q²-2)/24 where q is a prime other than 3 congruent to 3 (mod 4): We also prove a result when q = 5 and make a conjecture about a generalization .

Comments

MSTR 02-01

Recommended Citation

Utgof, Naomi, "A Restricted Partition Function Modulo 3" (2002). Mathematical Sciences Technical Reports (MSTR). 59.
https://scholar.rose-hulman.edu/math_mstr/59