Research in Number Theory最新文献

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Linear independence of odd periods of modular forms 模形式奇周期的线性无关性
IF 0.8
Research in Number Theory Pub Date : 2023-04-20 DOI: 10.1007/s40993-023-00439-9
Austin Lei, Tianyu Ni, Hui Xue
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引用次数: 0
A note on badly approximable systems of linear forms over a field of formal series 关于形式级数域上线性形式的严重近似系统的注释
IF 0.8
Research in Number Theory Pub Date : 2023-04-15 DOI: 10.1007/s40993-023-00437-x
Mumtaz Hussain, N. Shulga
{"title":"A note on badly approximable systems of linear forms over a field of formal series","authors":"Mumtaz Hussain, N. Shulga","doi":"10.1007/s40993-023-00437-x","DOIUrl":"https://doi.org/10.1007/s40993-023-00437-x","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"27 1","pages":"1-13"},"PeriodicalIF":0.8,"publicationDate":"2023-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81483668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 Iwasawa invariants of prime cyclotomic fields 素数分环场的Iwasawa不变量
IF 0.8
Research in Number Theory Pub Date : 2023-04-11 DOI: 10.1007/s40993-023-00435-z
Sey Y. Kim
{"title":"On the Iwasawa invariants of prime cyclotomic fields","authors":"Sey Y. Kim","doi":"10.1007/s40993-023-00435-z","DOIUrl":"https://doi.org/10.1007/s40993-023-00435-z","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"15 1","pages":"1-20"},"PeriodicalIF":0.8,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79099814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 adjoint of higher order Serre derivatives 关于高阶Serre导数的伴随函数
IF 0.8
Research in Number Theory Pub Date : 2023-04-11 DOI: 10.1007/s40993-023-00438-w
M. Charan
{"title":"On the adjoint of higher order Serre derivatives","authors":"M. Charan","doi":"10.1007/s40993-023-00438-w","DOIUrl":"https://doi.org/10.1007/s40993-023-00438-w","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"15 1","pages":"1-8"},"PeriodicalIF":0.8,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85021942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identities associated to a generalized divisor function and modified Bessel function 广义除数函数和修正贝塞尔函数的恒等式
IF 0.8
Research in Number Theory Pub Date : 2023-03-31 DOI: 10.1007/s40993-023-00431-3
D. Banerjee, B. Maji
{"title":"Identities associated to a generalized divisor function and modified Bessel function","authors":"D. Banerjee, B. Maji","doi":"10.1007/s40993-023-00431-3","DOIUrl":"https://doi.org/10.1007/s40993-023-00431-3","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"15 1","pages":"1-29"},"PeriodicalIF":0.8,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89071851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Modular forms on $${{,textrm{SU},}}(2,1)$$ with weight $$frac{1}{3}$$ 模块形式在$${{,textrm{SU},}}(2,1)$$与重量 $$frac{1}{3}$$
IF 0.8
Research in Number Theory Pub Date : 2023-03-28 DOI: 10.1007/s40993-022-00361-6
E. Freitag, Richard M. Hill
{"title":"Modular forms on $${{,textrm{SU},}}(2,1)$$ with weight $$frac{1}{3}$$","authors":"E. Freitag, Richard M. Hill","doi":"10.1007/s40993-022-00361-6","DOIUrl":"https://doi.org/10.1007/s40993-022-00361-6","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"38 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87504722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on Halász’s Theorem in Fq[t]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${mathbb {F}}_q[t]$$end{document} A note on Halász’s Theorem in Fq[t]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${mathbb {F}}_q[t]$$end{document}
IF 0.8
Research in Number Theory Pub Date : 2023-03-22 DOI: 10.1007/s40993-023-00432-2
Ardavan Afshar
{"title":"A note on Halász’s Theorem in Fq[t]documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${mathbb {F}}_q[t]$$end{document}","authors":"Ardavan Afshar","doi":"10.1007/s40993-023-00432-2","DOIUrl":"https://doi.org/10.1007/s40993-023-00432-2","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"67 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74852808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, I 有限域扩展中等均椭圆曲线非同构群结构的概率
IF 0.8
Research in Number Theory Pub Date : 2023-01-22 DOI: 10.1007/s40993-023-00456-8
J. Cullinan, N. Kaplan
{"title":"The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, I","authors":"J. Cullinan, N. Kaplan","doi":"10.1007/s40993-023-00456-8","DOIUrl":"https://doi.org/10.1007/s40993-023-00456-8","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"57 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72830781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unlikely intersections on the p-adic formal ball. p进正式球上不可能的交集。
IF 0.8
Research in Number Theory Pub Date : 2023-01-01 DOI: 10.1007/s40993-023-00441-1
Vlad Serban
{"title":"Unlikely intersections on the <i>p</i>-adic formal ball.","authors":"Vlad Serban","doi":"10.1007/s40993-023-00441-1","DOIUrl":"https://doi.org/10.1007/s40993-023-00441-1","url":null,"abstract":"<p><p>We investigate generalizations along the lines of the Mordell-Lang conjecture of the author's <i>p</i>-adic formal Manin-Mumford results for <i>n</i>-dimensional <i>p</i>-divisible formal groups <math><mi>F</mi></math> . In particular, given a finitely generated subgroup <math><mi>Γ</mi></math> of <math><mrow><mi>F</mi> <mo>(</mo> <msub><mover><mi>Q</mi> <mo>¯</mo></mover> <mi>p</mi></msub> <mo>)</mo></mrow> </math> and a closed subscheme <math><mrow><mi>X</mi> <mo>↪</mo> <mi>F</mi></mrow> </math> , we show under suitable assumptions that for any points <math><mrow><mi>P</mi> <mo>∈</mo> <mi>X</mi> <mo>(</mo> <msub><mi>C</mi> <mi>p</mi></msub> <mo>)</mo></mrow> </math> satisfying <math><mrow><mi>n</mi> <mi>P</mi> <mo>∈</mo> <mi>Γ</mi></mrow> </math> for some <math><mrow><mi>n</mi> <mo>∈</mo> <mi>N</mi></mrow> </math> , the minimal such orders <i>n</i> are uniformly bounded whenever <i>X</i> does not contain a formal subgroup translate of positive dimension. In contrast, we then provide counter-examples to a full <i>p</i>-adic formal Mordell-Lang result. Finally, we outline some consequences for the study of the Zariski-density of sets of automorphic objects in <i>p</i>-adic deformations. Specifically, we do so in the context of the nearly ordinary <i>p</i>-adic families of cuspidal cohomological automorphic forms for the general linear group constructed by Hida.</p>","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"9 2","pages":"34"},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10149481/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9408242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang. 过配分函数的对数高阶差分不等式及王协章问题。
IF 0.8
Research in Number Theory Pub Date : 2023-01-01 DOI: 10.1007/s40993-022-00420-y
Gargi Mukherjee
{"title":"Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang.","authors":"Gargi Mukherjee","doi":"10.1007/s40993-022-00420-y","DOIUrl":"https://doi.org/10.1007/s40993-022-00420-y","url":null,"abstract":"&lt;p&gt;&lt;p&gt;Let &lt;math&gt; &lt;mrow&gt;&lt;mover&gt;&lt;mi&gt;p&lt;/mi&gt; &lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;n&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;/mrow&gt; &lt;/math&gt; denote the overpartition function. In this paper, our primary goal is to study the asymptotic behavior of the finite differences of the logarithm of the overpartition function, i.e., &lt;math&gt; &lt;mrow&gt; &lt;msup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mn&gt;1&lt;/mn&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt; &lt;/msup&gt; &lt;msup&gt;&lt;mi&gt;Δ&lt;/mi&gt; &lt;mi&gt;r&lt;/mi&gt;&lt;/msup&gt; &lt;mo&gt;log&lt;/mo&gt; &lt;mover&gt;&lt;mi&gt;p&lt;/mi&gt; &lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;n&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;/mrow&gt; &lt;/math&gt; , by studying the inequality of the following form &lt;dispformula&gt; &lt;math&gt; &lt;mrow&gt; &lt;mtable&gt; &lt;mtr&gt; &lt;mtd&gt;&lt;mrow&gt;&lt;mo&gt;log&lt;/mo&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;/mrow&gt; &lt;mn&gt;1&lt;/mn&gt; &lt;mo&gt;+&lt;/mo&gt; &lt;mstyle&gt; &lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;C&lt;/mi&gt; &lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;msup&gt;&lt;mi&gt;n&lt;/mi&gt; &lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mn&gt;1&lt;/mn&gt; &lt;mo&gt;/&lt;/mo&gt; &lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt; &lt;/msup&gt; &lt;/mfrac&gt; &lt;/mstyle&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mstyle&gt; &lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt; &lt;mo&gt;+&lt;/mo&gt; &lt;msub&gt;&lt;mi&gt;C&lt;/mi&gt; &lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;/mrow&gt; &lt;msup&gt;&lt;mi&gt;n&lt;/mi&gt; &lt;mi&gt;r&lt;/mi&gt;&lt;/msup&gt; &lt;/mfrac&gt; &lt;/mstyle&gt; &lt;mrow&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt; &lt;/mtd&gt; &lt;mtd&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;/mrow&gt; &lt;mo&gt;&lt;&lt;/mo&gt; &lt;msup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mn&gt;1&lt;/mn&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt; &lt;/msup&gt; &lt;msup&gt;&lt;mi&gt;Δ&lt;/mi&gt; &lt;mi&gt;r&lt;/mi&gt;&lt;/msup&gt; &lt;mo&gt;log&lt;/mo&gt; &lt;mover&gt;&lt;mi&gt;p&lt;/mi&gt; &lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;n&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;/mrow&gt; &lt;/mtd&gt; &lt;/mtr&gt; &lt;mtr&gt; &lt;mtd&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;/mrow&gt; &lt;mrow&gt;&lt;/mrow&gt; &lt;mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt; &lt;/mtd&gt; &lt;mtd&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;/mrow&gt; &lt;mo&gt;&lt;&lt;/mo&gt; &lt;mo&gt;log&lt;/mo&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;/mrow&gt; &lt;mn&gt;1&lt;/mn&gt; &lt;mo&gt;+&lt;/mo&gt; &lt;mstyle&gt; &lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;C&lt;/mi&gt; &lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;msup&gt;&lt;mi&gt;n&lt;/mi&gt; &lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mn&gt;1&lt;/mn&gt; &lt;mo&gt;/&lt;/mo&gt; &lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt; &lt;/msup&gt; &lt;/mfrac&gt; &lt;/mstyle&gt; &lt;mrow&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;mspace&gt;&lt;/mspace&gt; &lt;mtext&gt;for&lt;/mtext&gt; &lt;mspace&gt;&lt;/mspace&gt; &lt;mi&gt;n&lt;/mi&gt; &lt;mo&gt;≥&lt;/mo&gt; &lt;mi&gt;N&lt;/mi&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt; &lt;/mtd&gt; &lt;/mtr&gt; &lt;/mtable&gt; &lt;/mrow&gt; &lt;/math&gt; &lt;/dispformula&gt; where &lt;math&gt;&lt;mrow&gt;&lt;mi&gt;C&lt;/mi&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;mo&gt;,&lt;/mo&gt; &lt;msub&gt;&lt;mi&gt;C&lt;/mi&gt; &lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;mo&gt;,&lt;/mo&gt; &lt;mtext&gt;and&lt;/mtext&gt; &lt;mspace&gt;&lt;/mspace&gt; &lt;mi&gt;N&lt;/mi&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;/mrow&gt; &lt;/math&gt; are computable constants depending on the positive integer &lt;i&gt;r&lt;/i&gt;, determined explicitly. This solves a problem posed by Wang, Xie and Zhang in the context of searching for a better lower bound of &lt;math&gt; &lt;mrow&gt; &lt;msup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mn&gt;1&lt;/mn&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt; &lt;mo&gt;-&lt;/mo&gt; &lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt; &lt;/msup&gt; &lt;msup&gt;&lt;mi&gt;Δ&lt;/mi&gt; &lt;mi&gt;r&lt;/mi&gt;&lt;/msup&gt; &lt;mo&gt;log&lt;/mo&gt; &lt;mover&gt;&lt;mi&gt;p&lt;/mi&gt; &lt;mo&gt;¯&lt;/mo&gt;&lt;/mover&gt; &lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt; &lt;mi&gt;n&lt;/mi&gt; &lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt; &lt;/mrow&gt; &lt;/math&gt; than 0. By settling the problem, we are able to show that &lt;dispformula&gt; &lt;math&gt; &lt;mrow&gt; &lt;mtable&gt; &lt;mtr&gt; &lt;mtd&gt; &lt;mrow&gt;&lt;munder&gt;&lt;mo&gt;lim&lt;/mo&gt; &lt;mrow&gt;&lt;mi&gt;n&lt;/mi&gt; &lt;mo&gt;→&lt;/mo&gt; &lt;","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"9 1","pages":"9"},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9763134/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10841463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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