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International Journal of Number Theory最新文献

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Unimodal Sequences: from isaac newton to june huh 单模态序列：从伊萨克-牛顿到哈克-朱恩
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-05-23 DOI: 10.1142/s1793042124300011
M. R. Murty
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引用次数: 0
Absolute Zeta Functions Arising from Ceiling and Floor Puiseux Polynomials 天花板和地板普伊塞多项式产生的绝对 Zeta 函数
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-05-23 DOI: 10.1142/s1793042124501240
Yoshinosuke Hirakawa, Takuki Tomita
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引用次数: 0
On multiplicative dependent vectors with coordinates from certain higher order recurrences 论坐标来自某些高阶递归的乘法依向量
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-05-23 DOI: 10.1142/s1793042124501197
Mitashree Behera, Prasanta Kumar Ray
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引用次数: 0
Eulerian series as Hecke-type double sums through the transformation formulas 通过变换公式将欧拉级数视为赫克式双和
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-05-23 DOI: 10.1142/s1793042124501173
Li-Jun Hao, Liang-Liang Xu
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引用次数: 0
Number of 𝔽q-points on Diagonal hypersurfaces and hypergeometric function 对角超曲面上的𝔽q点数和超几何函数
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-05-23 DOI: 10.1142/s1793042124501239
Sulakashna, Rupam Barman
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引用次数: 1
A Reciprocity Theorem for the Cohen-Ramanujan Sums and its Application to Cohen-Ramanujan Expansions 科恩-拉马努扬和的互易定理及其在科恩-拉马努扬展开中的应用
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-05-23 DOI: 10.1142/s1793042124501185
Vinod Sivadasan, K. Vishnu Namboothiri
{"title":"A Reciprocity Theorem for the Cohen-Ramanujan Sums and its Application to Cohen-Ramanujan Expansions","authors":"Vinod Sivadasan, K. Vishnu Namboothiri","doi":"10.1142/s1793042124501185","DOIUrl":"https://doi.org/10.1142/s1793042124501185","url":null,"abstract":"","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141107030","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 mean values for the exponential sum of divisor functions 关于除数函数指数和的平均值
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-05-17 DOI: 10.1142/s1793042124500933
Wei Zhang
{"title":"On mean values for the exponential sum of divisor functions","authors":"Wei Zhang","doi":"10.1142/s1793042124500933","DOIUrl":"https://doi.org/10.1142/s1793042124500933","url":null,"abstract":"<p>In this paper, we study mean values for exponential sums of divisor functions. We improve previous results of [M. Pandey, Moment estimates for the exponential sum with higher divisor functions, <i>C. R. Math. Acad. Sci. Paris</i><b>360</b> (2022) 419–424].</p>","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141146381","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 invariants of L-functions of degree 2, I: Twisted degree and internal shift 论 2 阶 L 函数的不变式，I：扭曲度与内移
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-05-06 DOI: 10.1142/s1793042124501215
J. Kaczorowski, A. Perelli
{"title":"On the invariants of L-functions of degree 2, I: Twisted degree and internal shift","authors":"J. Kaczorowski, A. Perelli","doi":"10.1142/s1793042124501215","DOIUrl":"https://doi.org/10.1142/s1793042124501215","url":null,"abstract":"This is the first part of a series of papers where the behaviour of the invariants under twist by Dirichlet characters is studied for $L$-functions of degree 2. Here we show, under suitable conditions, that degree and internal shift remain unchanged under twist. The ultimate goal of the series is to prove a general version of Weil converse theorem with minimal assumptions on the shape of the functional equation of the twists.","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129537","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
Uniformity of quadratic points 二次点的均匀性
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-04-27 DOI: 10.1142/s1793042124500532
Tangli Ge
{"title":"Uniformity of quadratic points","authors":"Tangli Ge","doi":"10.1142/s1793042124500532","DOIUrl":"https://doi.org/10.1142/s1793042124500532","url":null,"abstract":"<p>In this paper, we extend a uniformity result of Dimitrov <i>et al.</i> [Uniformity in Mordell-Lang for curves, <i>Ann. of Math.</i> (<i>2</i>) <b>194</b>(1) (2021) 237–298] to dimension two and use it to get a uniform bound on the cardinality of the set of all quadratic points for non-hyperelliptic non-bielliptic curves which only depend on the Mordell–Weil rank, the genus of the curve and the degree of the number field.</p>","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140833108","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 𝔭-primary uniform boundedness conjecture for Drinfeld modules 德林菲尔德模块的𝔭主均匀有界猜想
IF 0.7 3区 数学
International Journal of Number Theory Pub Date : 2024-04-27 DOI: 10.1142/s1793042124500611
Shun Ishii
{"title":"The 𝔭-primary uniform boundedness conjecture for Drinfeld modules","authors":"Shun Ishii","doi":"10.1142/s1793042124500611","DOIUrl":"https://doi.org/10.1142/s1793042124500611","url":null,"abstract":"<p>In this paper, we study a Drinfeld module analogue of the Uniform Boundedness Conjecture on the torsion of abelian varieties. As a result, we prove the <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>𝔭</mi></math></span><span></span>-primary Uniform Boundedness Conjecture for one-dimensional families of Drinfeld modules of arbitrary rank, which extends a result of Poonen. This result can be regarded as a Drinfeld module analogue of the Cadoret–Tamagawa’s result on the <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mi>p</mi></math></span><span></span>-primary Uniform Boundedness Conjecture for one-dimensional families of abelian varieties.</p>","PeriodicalId":14293,"journal":{"name":"International Journal of Number Theory","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140833113","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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