| 题名 | Some formulae for coefficients in restricted q-products |
| 作者 | |
| 通讯作者 | Goswami，Ankush |
| 发表日期 | 2021-02-01
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| DOI | |
| 发表期刊 | |
| ISSN | 0022-314X
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| EISSN | 1096-1658
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| 卷号 | 219 |
| 摘要 | In this paper, we derive some formulae involving coefficients of polynomials which occur quite naturally in the study of restricted partitions. Our method involves a recently discovered sieve technique by Li and Wan (2010) [12]. Based on this method, by considering cyclic groups of different orders we obtain some new results for these coefficients. The general result (see Theorem 4.1) holds for any group of the form Z(N) where N is an element of N and expresses certain partial sums of coefficients in terms of expressions involving roots of unity. By specializing N to different values, we see that these expressions simplify in some cases and we obtain several nice identities involving these coefficients. We also use a result of Sudler (1964) [17] to obtain an asymptotic formula for the maximum absolute value of these coefficients. (c) 2020 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 其他
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| 资助项目 | Austrian Science Fund (FWF)[SFB F50-06]
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics
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| WOS记录号 | WOS:000593765800011
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| 出版者 | |
| ESI学科分类 | MATHEMATICS
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| 来源库 | Web of Science
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| 引用统计 |
被引频次[WOS]：1
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| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/209230 |
| 专题 | 理学院_数学系 |
| 作者单位 | 1.Research Institute for Symbolic Computation (RISC),JKU,Linz,Austria 2.Department of Mathematics,Southern University of Science and Technology (SUSTECH),Shenzhen,China |
| 推荐引用方式 GB/T 7714 |
Goswami，Ankush,Pantangi，Venkata Raghu Tej. Some formulae for coefficients in restricted q-products[J]. JOURNAL OF NUMBER THEORY,2021,219.
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| APA |
Goswami，Ankush,&Pantangi，Venkata Raghu Tej.(2021).Some formulae for coefficients in restricted q-products.JOURNAL OF NUMBER THEORY,219.
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| MLA |
Goswami，Ankush,et al."Some formulae for coefficients in restricted q-products".JOURNAL OF NUMBER THEORY 219(2021).
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| 条目包含的文件 | 条目无相关文件。 | |||||
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