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- W4301479894 abstract "A partition of a positive integer $n$ is a representation of $n$ as a sum of a finite number of positive integers (called parts). A trapezoidal number is a positive integer that has a partition whose parts are a decreasing sequence of consecutive integers, or, more generally, whose parts form a finite arithmetic progression. This paper reviews the relation between trapezoidal numbers, partitions, and the set of divisors of a positive integer. There is also a complete proof of a theorem of Sylvester that produces a stratification of the partitions of an integer into odd parts and partitions into disjoint trapezoids." @default.
- W4301479894 created "2022-10-05" @default.
- W4301479894 creator A5024903213 @default.
- W4301479894 date "2016-01-26" @default.
- W4301479894 modified "2023-10-16" @default.
- W4301479894 title "Trapezoidal numbers, divisor functions, and a partition theorem of Sylvester" @default.
- W4301479894 doi "https://doi.org/10.48550/arxiv.1601.07058" @default.
- W4301479894 hasPublicationYear "2016" @default.
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