发布求助
文献互助 智能选刊 最新文献

International Journal of Number Theory最新文献

筛选
英文 中文
On Additive Decompositions of Primitive Elements in Finite Fields 有限域上原始元素的加性分解
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500313
Yue-Feng She, Hai-Liang Wu
{"title":"On Additive Decompositions of Primitive Elements in Finite Fields","authors":"Yue-Feng She, Hai-Liang Wu","doi":"10.1142/s1793042124500313","DOIUrl":"https://doi.org/10.1142/s1793042124500313","url":null,"abstract":"In this paper, we study several topics on additive decompositions of primitive elemements in finite fields. Also we refine some bounds obtained by Dartyge and S'{a}rk\"{o}zy and Shparlinski.","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918623","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
An explicit Voronoi Formula for SL3(ℝ) Newforms Underlying the Symmetric Lifts in the Level Aspect 基于水平方面对称提升的SL3(t)新形式的显式Voronoi公式
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500404
Fei Hou, Guangshi Lu
{"title":"An explicit Voronoi Formula for <i>SL</i><sub>3</sub>(ℝ) Newforms Underlying the Symmetric Lifts in the Level Aspect","authors":"Fei Hou, Guangshi Lu","doi":"10.1142/s1793042124500404","DOIUrl":"https://doi.org/10.1142/s1793042124500404","url":null,"abstract":"","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918626","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 Ostrowski Quotient of an Elliptic Curve 椭圆曲线的Ostrowski商
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500374
Abbas Maarefparvar
{"title":"The Ostrowski Quotient of an Elliptic Curve","authors":"Abbas Maarefparvar","doi":"10.1142/s1793042124500374","DOIUrl":"https://doi.org/10.1142/s1793042124500374","url":null,"abstract":"","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918924","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 some discrete mean values of higher derivatives of Hardy's Z-Function 哈迪z函数高阶导数的离散均值
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500325
Hirotaka Kobayashi
{"title":"On some discrete mean values of higher derivatives of Hardy's <i>Z</i>-Function","authors":"Hirotaka Kobayashi","doi":"10.1142/s1793042124500325","DOIUrl":"https://doi.org/10.1142/s1793042124500325","url":null,"abstract":"","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918920","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
Metrical Properties for Functions of Consecutive Multiple Partial Quotients in Continued Fractions 连分式中连续多重部分商函数的格律性质
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500271
Yuqing Zhang
{"title":"Metrical Properties for Functions of Consecutive Multiple Partial Quotients in Continued Fractions","authors":"Yuqing Zhang","doi":"10.1142/s1793042124500271","DOIUrl":"https://doi.org/10.1142/s1793042124500271","url":null,"abstract":"","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918149","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
Intermediate modular curves with infinitely many cubic points over ℚ 具有无穷多个三次点的中间模曲线
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500350
Tarun Dalal
{"title":"Intermediate modular curves with infinitely many cubic points over ℚ","authors":"Tarun Dalal","doi":"10.1142/s1793042124500350","DOIUrl":"https://doi.org/10.1142/s1793042124500350","url":null,"abstract":"In this article, we determine all intermediate modular curves $X_Delta(N)$ that admit infinitely many cubic points over the rational field $mathbb{Q}$.","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918183","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
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients 用积分傅立叶系数确定深度1的归一化极值拟模形式
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500337
Tomoaki Nakaya
{"title":"Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients","authors":"Tomoaki Nakaya","doi":"10.1142/s1793042124500337","DOIUrl":"https://doi.org/10.1142/s1793042124500337","url":null,"abstract":"The main purpose of this paper is to determine all normalized extremal quasimodular forms of depth 1 whose Fourier coefficients are integers. By changing the local parameter at infinity from $q=e^{2pi i tau}$ to the reciprocal of the elliptic modular $j$-function, we prove that all normalized extremal quasimodular forms of depth 1 have a hypergeometric series expression and that integrality is not affected by this change of parameters. Furthermore, by transforming these hypergeometric series expressions into a certain manageable form related to the Atkin(-like) polynomials and using the lemmas that appeared in the study of $p$-adic hypergeometric series by Dwork and Zudilin, the integrality problem can be reduced to the fact that a polynomial vanishes modulo a prime power, which we prove. We also prove that all extremal quasimodular forms of depth 1 with appropriate weight-dependent leading coefficients have integral Fourier coefficients by focusing on the hypergeometric expression of them.","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918015","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 X-Coordinates of Pell Equations X2 − dY2 = ±1 As Difference of two Fibonacci Numbers 关于Pell方程的x坐标X2−dY2 =±1作为两个Fibonacci数的差
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500258
Carlos A. Gomez, Salah Eddine Rihane, Alain Togbe
{"title":"On The <i>X</i>-Coordinates of Pell Equations X2 − dY2 = ±1 As Difference of two Fibonacci Numbers","authors":"Carlos A. Gomez, Salah Eddine Rihane, Alain Togbe","doi":"10.1142/s1793042124500258","DOIUrl":"https://doi.org/10.1142/s1793042124500258","url":null,"abstract":"","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918483","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 Two-Parametric Family of High Rank Mordell Curves 高阶莫德尔曲线的两参数族
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500428
Mikhail A. Reynya
{"title":"A Two-Parametric Family of High Rank Mordell Curves","authors":"Mikhail A. Reynya","doi":"10.1142/s1793042124500428","DOIUrl":"https://doi.org/10.1142/s1793042124500428","url":null,"abstract":"","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918168","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
Primes in denominators of algebraic numbers 代数数分母中的质数
3区 数学
International Journal of Number Theory Pub Date : 2023-10-13 DOI: 10.1142/s1793042124500167
Deepesh Singhal, Yuxin Lin
{"title":"Primes in denominators of algebraic numbers","authors":"Deepesh Singhal, Yuxin Lin","doi":"10.1142/s1793042124500167","DOIUrl":"https://doi.org/10.1142/s1793042124500167","url":null,"abstract":"Denote the set of algebraic numbers as $overline{mathbb{Q}}$ and the set of algebraic integers as $overline{mathbb{Z}}$. For $gammainoverline{mathbb{Q}}$, consider its irreducible polynomial in $mathbb{Z}[x]$, $F_{gamma}(x)=a_nx^n+dots+a_0$. Denote $e(gamma)=gcd(a_{n},a_{n-1},dots,a_1)$. Drungilas, Dubickas and Jankauskas show in a recent paper that $mathbb{Z}[gamma]cap mathbb{Q}={alphainmathbb{Q}mid {pmid v_p(alpha)<0}subseteq {pmid p|e(gamma)}}$. Given a number field $K$ and $gammainoverline{mathbb{Q}}$, we show that there is a subset $X(K,gamma)subseteq text{Spec}(mathcal{O}_K)$, for which $mathcal{O}_K[gamma]cap K={alphain Kmid {mathfrak{p}mid v_{mathfrak{p}}(alpha)<0}subseteq X(K,gamma)}$. We prove that $mathcal{O}_K[gamma]cap K$ is a principal ideal domain if and only if the primes in $X(K,gamma)$ generate the class group of $mathcal{O}_K$. We show that given $gammain overline{mathbb{Q}}$, we can find a finite set $Ssubseteq overline{mathbb{Z}}$, such that for every number field $K$, we have $X(K,gamma)={mathfrak{p}intext{Spec}(mathcal{O}_K)mid mathfrak{p}cap Sneq emptyset}$. We study how this set $S$ relates to the ring $overline{mathbb{Z}}[gamma]$ and the ideal $mathfrak{D}_{gamma}={ainoverline{mathbb{Z}}mid agammainoverline{mathbb{Z}}}$ of $overline{mathbb{Z}}$. We also show that $gamma_1,gamma_2in overline{mathbb{Q}}$ satisfy $mathfrak{D}_{gamma_1}=mathfrak{D}_{gamma_2}$ if and only if $X(K,gamma_1)=X(K,gamma_2)$ for all number fields $K$.","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918316","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
首页 上一页 下一页 尾页
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
现在去查看 取消
×
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