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On algebraic twists with composite moduli 关于具有复合模的代数扭转
3区 数学
Ramanujan Journal Pub Date : 2023-10-17 DOI: 10.1007/s11139-023-00789-z
Yongxiao Lin, Philippe Michel
{"title":"On algebraic twists with composite moduli","authors":"Yongxiao Lin, Philippe Michel","doi":"10.1007/s11139-023-00789-z","DOIUrl":"https://doi.org/10.1007/s11139-023-00789-z","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135994932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Parity of the 8-regular partition function 8正则配分函数的奇偶性
3区 数学
Ramanujan Journal Pub Date : 2023-10-16 DOI: 10.1007/s11139-023-00784-4
Giacomo Cherubini, Pietro Mercuri
{"title":"Parity of the 8-regular partition function","authors":"Giacomo Cherubini, Pietro Mercuri","doi":"10.1007/s11139-023-00784-4","DOIUrl":"https://doi.org/10.1007/s11139-023-00784-4","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"225 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136079826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Infinite product representations of some q-series 某个q级数的无穷积表示
3区 数学
Ramanujan Journal Pub Date : 2023-10-16 DOI: 10.1007/s11139-023-00790-6
Florian Münkel, Lerna Pehlivan, Kenneth S. Williams
{"title":"Infinite product representations of some q-series","authors":"Florian Münkel, Lerna Pehlivan, Kenneth S. Williams","doi":"10.1007/s11139-023-00790-6","DOIUrl":"https://doi.org/10.1007/s11139-023-00790-6","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identities on mex-related partitions 与ext相关分区上的标识
3区 数学
Ramanujan Journal Pub Date : 2023-09-27 DOI: 10.1007/s11139-023-00744-y
Jane Y. X. Yang, Li Zhou
{"title":"Identities on mex-related partitions","authors":"Jane Y. X. Yang, Li Zhou","doi":"10.1007/s11139-023-00744-y","DOIUrl":"https://doi.org/10.1007/s11139-023-00744-y","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135535696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some identities on Beck’s partition statistics 贝克分区统计上的一些恒等式
3区 数学
Ramanujan Journal Pub Date : 2023-09-26 DOI: 10.1007/s11139-023-00781-7
Yongqiang Chen, Jing Jin, Olivia X. M. Yao
{"title":"Some identities on Beck’s partition statistics","authors":"Yongqiang Chen, Jing Jin, Olivia X. M. Yao","doi":"10.1007/s11139-023-00781-7","DOIUrl":"https://doi.org/10.1007/s11139-023-00781-7","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134961156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Alternating multiple T-values: weighted sums, duality, and dimension conjecture 交替多重t值:加权和、对偶性和维数猜想
3区 数学
Ramanujan Journal Pub Date : 2023-09-26 DOI: 10.1007/s11139-023-00782-6
Ce Xu, Jianqiang Zhao
{"title":"Alternating multiple T-values: weighted sums, duality, and dimension conjecture","authors":"Ce Xu, Jianqiang Zhao","doi":"10.1007/s11139-023-00782-6","DOIUrl":"https://doi.org/10.1007/s11139-023-00782-6","url":null,"abstract":"In this paper, we define some weighted sums of the alternating multiple T-values (AMTVs) and study several duality formulas for them. Then we introduce the alternating version of the convoluted T-values and Kaneko–Tsumura $$psi $$ -function, which are proved to be closely related to the AMTVs. At the end of the paper, we study the $$mathbb {Q}$$ -vector space generated by the AMTVs of any fixed weight w and provide some evidence for the conjecture that their dimensions $${d_w}_{wge 1}$$ form the tribonacci sequence 1, 2, 4, 7, 13, ....","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134904247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Composition-theoretic series in partition theory 分割理论中的组合理论级数
3区 数学
Ramanujan Journal Pub Date : 2023-09-15 DOI: 10.1007/s11139-023-00780-8
Robert Schneider, Andrew V. Sills
{"title":"Composition-theoretic series in partition theory","authors":"Robert Schneider, Andrew V. Sills","doi":"10.1007/s11139-023-00780-8","DOIUrl":"https://doi.org/10.1007/s11139-023-00780-8","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135437152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inequalities for the $$M_2$$-rank modulo 12 of partitions without repeated odd parts 无重复奇数部分的分区$$M_2$$ -rank模12的不等式
3区 数学
Ramanujan Journal Pub Date : 2023-09-15 DOI: 10.1007/s11139-023-00783-5
Yan Fan, Eric H. Liu, Ernest X. W. Xia
{"title":"Inequalities for the $$M_2$$-rank modulo 12 of partitions without repeated odd parts","authors":"Yan Fan, Eric H. Liu, Ernest X. W. Xia","doi":"10.1007/s11139-023-00783-5","DOIUrl":"https://doi.org/10.1007/s11139-023-00783-5","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"204 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135436255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite trigonometric sums arising from Ramanujan’s theta functions 由拉马努金函数产生的有限三角和
3区 数学
Ramanujan Journal Pub Date : 2023-09-12 DOI: 10.1007/s11139-023-00778-2
Bruce C. Berndt, Sun Kim, Alexandru Zaharescu
{"title":"Finite trigonometric sums arising from Ramanujan’s theta functions","authors":"Bruce C. Berndt, Sun Kim, Alexandru Zaharescu","doi":"10.1007/s11139-023-00778-2","DOIUrl":"https://doi.org/10.1007/s11139-023-00778-2","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135826631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The first negative Fourier coefficient of an Eisenstein series newform 爱森斯坦级数的第一个负傅立叶系数的新形式
3区 数学
Ramanujan Journal Pub Date : 2023-09-11 DOI: 10.1007/s11139-023-00779-1
Sebastián Carrillo Santana
{"title":"The first negative Fourier coefficient of an Eisenstein series newform","authors":"Sebastián Carrillo Santana","doi":"10.1007/s11139-023-00779-1","DOIUrl":"https://doi.org/10.1007/s11139-023-00779-1","url":null,"abstract":"Abstract There have been a number of papers on statistical questions concerning the sign changes of Fourier coefficients of newforms. In one such paper, Linowitz and Thompson gave a conjecture describing when, on average, the first negative sign of the Fourier coefficients of an Eisenstein series newform occurs. In this paper, we correct their conjecture and prove the corrected version.","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135979468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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