On the Sums

The Sums S(n) continue to attract considerable interest in mathematical disciplines ranging from Fourier analysis to number theory. Elkies presents Calabi's proof, which uses only the formula for change of variables of multiple integrals. He also relate S(n) and polytope volumes to the enumerat...

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Published in:The American mathematical monthly 2003-08, Vol.110 (7), p.561-573
Main Author: Elkies, Noam D.
Format: Article
Language:English
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Mathematical analysis
Mathematics
Number Concepts
Numbers
Theory
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description The Sums S(n) continue to attract considerable interest in mathematical disciplines ranging from Fourier analysis to number theory. Elkies presents Calabi's proof, which uses only the formula for change of variables of multiple integrals. He also relate S(n) and polytope volumes to the enumeration of alternating and cyclically alternating permutations.
doi_str_mv 10.1080/00029890.2003.11919997
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source JSTOR Archival Journals and Primary Sources Collection; Social Science Premium Collection; Taylor and Francis:Jisc Collections:Taylor and Francis Read and Publish Agreement 2024-2025:Science and Technology Collection (Reading list); Education Collection
subjects Mathematical analysis
Mathematics
Number Concepts
Numbers
Theory
title On the Sums
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