Some amazing facts about 4-cores

Michael D. Hirschhorn; James A. Sellers

doi:10.1006/jnth.1996.0112

Some amazing facts about 4-cores

Michael D. Hirschhorn, James A. Sellers

Mathematics

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

We prove many amazing facts about 4-cores, such as, for example, a₄(27n + 5)=3 x a₄(3n), a₄(27n + 14)=5 x a₄(3n + 1), a₄(81n + 23)=4 x a₄(9n + 2), a₄(81n + 77)=4 x a₄(9n + 8).

Original language	English (US)
Pages (from-to)	51-69
Number of pages	19
Journal	Journal of Number Theory
Volume	60
Issue number	1
DOIs	https://doi.org/10.1006/jnth.1996.0112
State	Published - Sep 1996

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1006/jnth.1996.0112

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title = "Some amazing facts about 4-cores",

abstract = "We prove many amazing facts about 4-cores, such as, for example, a4(27n + 5)=3 x a4(3n), a4(27n + 14)=5 x a4(3n + 1), a4(81n + 23)=4 x a4(9n + 2), a4(81n + 77)=4 x a4(9n + 8).",

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AB - We prove many amazing facts about 4-cores, such as, for example, a4(27n + 5)=3 x a4(3n), a4(27n + 14)=5 x a4(3n + 1), a4(81n + 23)=4 x a4(9n + 2), a4(81n + 77)=4 x a4(9n + 8).

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Some amazing facts about 4-cores

Abstract

All Science Journal Classification (ASJC) codes

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