Elementary proofs of infinitely many congruences for 8-cores (Q1306586)
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scientific article; zbMATH DE number 1347445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elementary proofs of infinitely many congruences for 8-cores |
scientific article; zbMATH DE number 1347445 |
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Elementary proofs of infinitely many congruences for 8-cores (English)
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29 June 2000
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From the paper's abstract: Using a very elementary argument, we prove the congruences \[ a_8(81n + 21) \equiv 0 \pmod 2 \quad \text{and}\quad a_8(81n + 75) \equiv 0 \pmod 2 \] where \(a_8(n)\) is the number of 8-core partitions of \(n\). We also exhibit two infinite families of congruences modulo 2 for 8-cores.
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partitions
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congruences
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\(t\)-cores
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