# Divisibility and Distribution of Partitions into Distinct Parts

@article{Lovejoy2001DivisibilityAD,
title={Divisibility and Distribution of Partitions into Distinct Parts},
author={Jeremy Lovejoy},
year={2001},
volume={158},
pages={253-263}
}
• J. Lovejoy
• Published 25 March 2001
• Mathematics
• Advances in Mathematics
Abstract We study the generating function for Q ( n ), the number of partitions of a natural number n into distinct parts. Using the arithmetic properties of Fourier coefficients of integer weight modular forms, we prove several theorems on the divisibility and distribution of Q ( n ) modulo primes p ⩾5.

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