| Partitions with difference conditions and Alder's conjecture. | |
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MedLine Citation:
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PMID: 15546985 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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In 1956, Alder conjectured that the number of partitions of n into parts differing by at least d is greater than or equal to that of partitions of n into parts identical with +/-1 (mod d+3) for d > or = 4. In 1971, Andrews proved that the conjecture holds for d = 2r-1, r > or = 4. We sketch a proof of the conjecture for all d > or = 32. |
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Authors:
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Ae Ja Yee |
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Publication Detail:
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Type: Journal Article Date: 2004-11-16 |
Journal Detail:
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Title: Proceedings of the National Academy of Sciences of the United States of America Volume: 101 ISSN: 0027-8424 ISO Abbreviation: Proc. Natl. Acad. Sci. U.S.A. Publication Date: 2004 Nov |
Date Detail:
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Created Date: 2004-11-24 Completed Date: 2004-12-27 Revised Date: 2008-11-20 |
Medline Journal Info:
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Nlm Unique ID: 7505876 Medline TA: Proc Natl Acad Sci U S A Country: United States |
Other Details:
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Languages: eng Pagination: 16417-8 Citation Subset: - |
Affiliation:
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Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA. yee@math.psu.edu |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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