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Large oscillations of the argument of Rankin–Selberg L-functions Rankin–Selberg L-函数自变量的大振荡
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-30 DOI: 10.1007/s11139-022-00694-x
Xuanxuan Xiao, Qiyu Yang
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引用次数: 0
Real quadratic fields with odd class number divisible by 3 奇数可被3整除的实二次域
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-30 DOI: 10.1007/s11139-023-00698-1
Dongho Byeon
{"title":"Real quadratic fields with odd class number divisible by 3","authors":"Dongho Byeon","doi":"10.1007/s11139-023-00698-1","DOIUrl":"https://doi.org/10.1007/s11139-023-00698-1","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42614305","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
Fields of small class number in the family $$mathbb {Q}(sqrt{9m^2+4m})$$ 田野里的小班数在家庭里 $$mathbb {Q}(sqrt{9m^2+4m})$$
3区 数学
Ramanujan Journal Pub Date : 2023-01-30 DOI: 10.1007/s11139-022-00695-w
Nimish Kumar Mahapatra, Prem Prakash Pandey, Mahesh Kumar Ram
{"title":"Fields of small class number in the family $$mathbb {Q}(sqrt{9m^2+4m})$$","authors":"Nimish Kumar Mahapatra, Prem Prakash Pandey, Mahesh Kumar Ram","doi":"10.1007/s11139-022-00695-w","DOIUrl":"https://doi.org/10.1007/s11139-022-00695-w","url":null,"abstract":"We study the class number one problem for real quadratic fields $mathbb{Q}(sqrt{9m^2+ 4m})$, where $m$ is an odd integer. We show that for $m equiv 1 pmod 3$ there is only one such field with class number one and only one such field with class number two.","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135440715","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: 1
On the largest sizes of $$(s,qspm 1)$$-core partitions with parts of the same parity 在$$（s，qspm 1）$$的最大大小上，具有相同奇偶校验部分的核心分区
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-30 DOI: 10.1007/s11139-022-00696-9
WU-XIA Ma, Xingfeng Jiang
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引用次数: 0
A q-analogue of symmetric multiple zeta value 对称多重zeta值的q模拟
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-30 DOI: 10.1007/s11139-023-00755-9
Y. Takeyama
{"title":"A q-analogue of symmetric multiple zeta value","authors":"Y. Takeyama","doi":"10.1007/s11139-023-00755-9","DOIUrl":"https://doi.org/10.1007/s11139-023-00755-9","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47266207","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
Several q-series transformation formulas and new Hecke–Rogers type series identities 几个q级数变换公式和新的Hecke-Rogers型级数恒等式
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-27 DOI: 10.1007/s11139-022-00645-6
Ying Zhang, Wenlong Zhang, Jingjing Zhang
{"title":"Several q-series transformation formulas and new Hecke–Rogers type series identities","authors":"Ying Zhang, Wenlong Zhang, Jingjing Zhang","doi":"10.1007/s11139-022-00645-6","DOIUrl":"https://doi.org/10.1007/s11139-022-00645-6","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46652063","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 the size of roots of a family of polynomials related to linear recurrence sequences 关于与线性递归序列有关的多项式族的根的大小
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-24 DOI: 10.1007/s11139-022-00691-0
D. Marques, P. Trojovský
{"title":"On the size of roots of a family of polynomials related to linear recurrence sequences","authors":"D. Marques, P. Trojovský","doi":"10.1007/s11139-022-00691-0","DOIUrl":"https://doi.org/10.1007/s11139-022-00691-0","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48900102","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
Two results on unlike powers of primes and powers of 2 in the Waring–Goldbach problem 沃林-哥德巴赫问题中质数的不同幂和2的幂的两个结果
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-24 DOI: 10.1007/s11139-022-00631-y
Liqun Hu
{"title":"Two results on unlike powers of primes and powers of 2 in the Waring–Goldbach problem","authors":"Liqun Hu","doi":"10.1007/s11139-022-00631-y","DOIUrl":"https://doi.org/10.1007/s11139-022-00631-y","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46250049","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 proportionally modular numerical semigroups of embedding dimension three 嵌入维数为3的比例模数值半群
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-17 DOI: 10.1007/s11139-022-00680-3
Edgar Federico Elizeche, A. Tripathi
{"title":"On proportionally modular numerical semigroups of embedding dimension three","authors":"Edgar Federico Elizeche, A. Tripathi","doi":"10.1007/s11139-022-00680-3","DOIUrl":"https://doi.org/10.1007/s11139-022-00680-3","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45086849","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
New inequalities for p(n) and logp(n). 关于p（n）和logp（n）的新不等式。
IF 0.7 3区 数学
Ramanujan Journal Pub Date : 2023-01-01 Epub Date: 2022-10-19 DOI: 10.1007/s11139-022-00653-6
Koustav Banerjee, Peter Paule, Cristian-Silviu Radu, WenHuan Zeng
{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">New inequalities for <i>p</i>(<i>n</i>) and <ns0:math><ns0:mrow><ns0:mo>log</ns0:mo><ns0:mi>p</ns0:mi><ns0:mo>(</ns0:mo><ns0:mi>n</ns0:mi><ns0:mo>)</ns0:mo></ns0:mrow></ns0:math>.","authors":"Koustav Banerjee,&nbsp;Peter Paule,&nbsp;Cristian-Silviu Radu,&nbsp;WenHuan Zeng","doi":"10.1007/s11139-022-00653-6","DOIUrl":"10.1007/s11139-022-00653-6","url":null,"abstract":"<p><p>Let <i>p</i>(<i>n</i>) denote the number of partitions of <i>n</i>. A new infinite family of inequalities for <i>p</i>(<i>n</i>) is presented. This generalizes a result by William Chen et al. From this infinite family, another infinite family of inequalities for <math><mrow><mo>log</mo><mi>p</mi><mo>(</mo><mi>n</mi><mo>)</mo></mrow></math> is derived. As an application of the latter family one, for instance obtains that for <math><mrow><mi>n</mi><mo>≥</mo><mn>120</mn></mrow></math>, <dispformula><math><mrow><mtable><mtr><mtd><mrow><mi>p</mi><msup><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow><mn>2</mn></msup><mo>></mo><mrow><mo>(</mo></mrow><mn>1</mn><mo>+</mo><mfrac><mi>π</mi><mrow><msqrt><mn>24</mn></msqrt><msup><mi>n</mi><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msup></mrow></mfrac><mo>-</mo><mfrac><mn>1</mn><msup><mi>n</mi><mn>2</mn></msup></mfrac><mrow><mo>)</mo></mrow><mi>p</mi><mrow><mo>(</mo><mi>n</mi><mo>-</mo><mn>1</mn><mo>)</mo></mrow><mi>p</mi><mrow><mo>(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow><mo>.</mo></mrow></mtd></mtr></mtable></mrow></math></dispformula></p>","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10335990/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9823498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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