Ramanujan Journal最新文献

筛选
英文 中文
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
On restricted approximation measures of Jacobi’s triple product 雅可比三重积的限制近似测度
3区 数学
Ramanujan Journal Pub Date : 2023-09-11 DOI: 10.1007/s11139-023-00776-4
Leena Leinonen, Marko Leinonen
{"title":"On restricted approximation measures of Jacobi’s triple product","authors":"Leena Leinonen, Marko Leinonen","doi":"10.1007/s11139-023-00776-4","DOIUrl":"https://doi.org/10.1007/s11139-023-00776-4","url":null,"abstract":"Abstract We obtain rational approximations for Jacobi’s triple product $$begin{aligned} Pi _q(t):= prod _{m=1}^infty (1-q^{2m})(1+q^{2m-1}t)(1+q^{2m-1}t^{-1}), end{aligned}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mtable> <mml:mtr> <mml:mtd> <mml:mrow> <mml:msub> <mml:mi>Π</mml:mi> <mml:mi>q</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>:</mml:mo> <mml:mo>=</mml:mo> <mml:munderover> <mml:mo>∏</mml:mo> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:mi>∞</mml:mi> </mml:munderover> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>-</mml:mo> <mml:msup> <mml:mi>q</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>m</mml:mi> </mml:mrow> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:msup> <mml:mi>q</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>m</mml:mi> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:msup> <mml:mi>q</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>m</mml:mi> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:msup> <mml:mi>t</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>,</mml:mo> </mml:mrow> </mml:mtd> </mml:mtr> </mml:mtable> </mml:mrow> </mml:math> when $$t=a/bin {mathbb {Q}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>t</mml:mi> <mml:mo>=</mml:mo> <mml:mi>a</mml:mi> <mml:mo>/</mml:mo> <mml:mi>b</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>Q</mml:mi> </mml:mrow> </mml:math> is non-zero and $$q=1/d$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>q</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mi>d</mml:mi> </mml:mrow> </mml:math> with $$din {mathbb {Z}}{setminus }{0, pm 1 }$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>Z</mml:mi> <mml:mo></mml:mo> <mml:mo>{</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mo>±</mml:mo> <mml:mn>1</mml:mn> <mml:mo>}</mml:mo> </mml:mrow> </mml:math> . Especially we give effective and restricted approximation for the values of Jacobi’s triple product and for the values of Euler’s infinite product.","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"7 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":"135980836","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
Hypergeometric functions over finite fields 有限域上的超几何函数
3区 数学
Ramanujan Journal Pub Date : 2023-09-11 DOI: 10.1007/s11139-023-00777-3
Noriyuki Otsubo
{"title":"Hypergeometric functions over finite fields","authors":"Noriyuki Otsubo","doi":"10.1007/s11139-023-00777-3","DOIUrl":"https://doi.org/10.1007/s11139-023-00777-3","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"36 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":"135981395","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
Additive evaluations of the number of divisors 除数的加性计算
3区 数学
Ramanujan Journal Pub Date : 2023-09-11 DOI: 10.1007/s11139-023-00773-7
Mircea Merca
{"title":"Additive evaluations of the number of divisors","authors":"Mircea Merca","doi":"10.1007/s11139-023-00773-7","DOIUrl":"https://doi.org/10.1007/s11139-023-00773-7","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"68 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":"135938886","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 problems about friable numbers in Piatetski-Shapiro sequence 关于Piatetski-Shapiro序列中脆性数的几个问题
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-09-05 DOI: 10.1007/s11139-023-00774-6
Wenbin Zhu
{"title":"Some problems about friable numbers in Piatetski-Shapiro sequence","authors":"Wenbin Zhu","doi":"10.1007/s11139-023-00774-6","DOIUrl":"https://doi.org/10.1007/s11139-023-00774-6","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42642499","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
A closed-form expression for the Euler–Kronecker constant of a quadratic field 二次域欧拉-克罗内克常数的封闭表达式
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-09-04 DOI: 10.1007/s11139-023-00772-8
Suraj Singh Khurana
{"title":"A closed-form expression for the Euler–Kronecker constant of a quadratic field","authors":"Suraj Singh Khurana","doi":"10.1007/s11139-023-00772-8","DOIUrl":"https://doi.org/10.1007/s11139-023-00772-8","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45131582","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
Lower bounds for the house in some radical extensions 房屋在一些激进扩展中的下界
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-09-02 DOI: 10.1007/s11139-023-00771-9
Francesco Amoroso
{"title":"Lower bounds for the house in some radical extensions","authors":"Francesco Amoroso","doi":"10.1007/s11139-023-00771-9","DOIUrl":"https://doi.org/10.1007/s11139-023-00771-9","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41527292","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
Euler sums of generalized alternating hyperharmonic numbers II 广义交变超调和数的欧拉和II
3区 数学
Ramanujan Journal Pub Date : 2023-09-02 DOI: 10.1007/s11139-023-00761-x
Rusen Li
{"title":"Euler sums of generalized alternating hyperharmonic numbers II","authors":"Rusen Li","doi":"10.1007/s11139-023-00761-x","DOIUrl":"https://doi.org/10.1007/s11139-023-00761-x","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134951875","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
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信