What does "overpartition" mean?

An overpartition of n is a non-increasing sequence of natural numbers whose sum is n in which the first occurrence of a number may be overlined.

Overpartition

noun, verb

noun, verb ·Rare ·Advanced level

Definitions

Noun

1
An overpartition of n is a non-increasing sequence of natural numbers whose sum is n in which the first occurrence of a number may be overlined.
"Recently, Shen studied the arithmetic properties of #92;ell-regular overpartition function #92;overline#123;A#125;#95;#92;ell(n), which counts the number of overpartitions of n into parts not divisible by #92;ell."

Verb

1
To divide into too many partitions. transitive

Example

More examples

"Recently, Shen studied the arithmetic properties of #92;ell-regular overpartition function #92;overline#123;A#125;#95;#92;ell(n), which counts the number of overpartitions of n into parts not divisible by #92;ell."

Etymology

From over- + partition.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.