Partitions with Initial Repetitions

Partitions with Initial Repetitions

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摘要 A variety of interesting connections with modular forms, mock theta functions and Rogers- Ramanujan type identities arise in consideration of partitions in which the smaller integers are repeated as summands more often than the larger summands. In particular, this concept leads to new interpretations of the Rogers Selberg identities and Bailey＇s modulus 9 identities. A variety of interesting connections with modular forms, mock theta functions and Rogers- Ramanujan type identities arise in consideration of partitions in which the smaller integers are repeated as summands more often than the larger summands. In particular, this concept leads to new interpretations of the Rogers Selberg identities and Bailey＇s modulus 9 identities.

作者 George E.ANDREWS

机构地区 The Pennsylvania State University

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第9期1437-1442,共6页 数学学报（英文版）

基金 Supported by National Science Foundation Grant DMS 0457003

关键词 partitions without gaps initial k-repetitions Glaisher＇s theorem Rogers-Selberg identities Bailey＇s modulus 9 identities partitions without gaps, initial k-repetitions, Glaisher＇s theorem, Rogers-Selberg identities, Bailey＇s modulus 9 identities

分类号 O174 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2009年第9期

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Partitions with Initial Repetitions

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