发布求助
文献互助 智能选刊 最新文献

Acta Arithmetica最新文献

筛选
英文 中文
Elementary methods in the study of the Deuring–Heilbronn phenomenon Deuring-Heilbronn现象研究的基本方法
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220909-23-5
C. Bellotti, G. Puglisi
{"title":"Elementary methods in the study of the Deuring–Heilbronn phenomenon","authors":"C. Bellotti, G. Puglisi","doi":"10.4064/aa220909-23-5","DOIUrl":"https://doi.org/10.4064/aa220909-23-5","url":null,"abstract":"","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70440651","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 new bound for Erdös’ minimum overlap problem 求解Erdös最小重叠问题的新界
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220728-7-6
E. White
{"title":"A new bound for Erdös’ minimum overlap problem","authors":"E. White","doi":"10.4064/aa220728-7-6","DOIUrl":"https://doi.org/10.4064/aa220728-7-6","url":null,"abstract":"","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70439995","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 distribution of defective multivariate polynomial systems over a finite field 有限域上缺陷多元多项式系统的分布
3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220817-21-7
Nardo Giménez, Guillermo Matera, Mariana Pérez, Melina Privitelli
{"title":"The distribution of defective multivariate polynomial systems over a finite field","authors":"Nardo Giménez, Guillermo Matera, Mariana Pérez, Melina Privitelli","doi":"10.4064/aa220817-21-7","DOIUrl":"https://doi.org/10.4064/aa220817-21-7","url":null,"abstract":"This paper deals with properties of the algebraic variety defined as the set of zeros of a\"deficient\"sequence of multivariate polynomials. We consider two types of varieties: ideal-theoretic complete intersections and absolutely irreducible varieties. For these types, we establish improved bounds on the dimension of the set of deficient systems of each type over an arbitrary field. On the other hand, we establish improved upper bounds on the number of systems of each type over a finite field.","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"133 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135317987","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
Hyperbolic summation for fractional sums 分数和的双曲求和
3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa230331-31-7
Meselem Karras, Ling Li, Joshua Stucky
{"title":"Hyperbolic summation for fractional sums","authors":"Meselem Karras, Ling Li, Joshua Stucky","doi":"10.4064/aa230331-31-7","DOIUrl":"https://doi.org/10.4064/aa230331-31-7","url":null,"abstract":"Let $tau (n)$ denote the number of positive divisors of an integer $ngeq 1$ and let $lfloor cdot rfloor $ denote the integer part function. We evaluate asymptotically the sums $$ sum _{nleq x}f (lfloor x/nrfloor )tau (n), $$ where $f$ is an arit","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135400230","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
Zeta functions of quadratic Artin–Schreier curves in characteristic two 特征二的二次Artin-Schreier曲线的Zeta函数
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220303-17-12
Régis Blache, Timoth'e Pierre
{"title":"Zeta functions of quadratic Artin–Schreier curves in characteristic two","authors":"Régis Blache, Timoth'e Pierre","doi":"10.4064/aa220303-17-12","DOIUrl":"https://doi.org/10.4064/aa220303-17-12","url":null,"abstract":"","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70440008","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
Covering systems with large moduli associated with reducible shifts of integer polynomials 覆盖与整数多项式可约移位相关的大模系统
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220518-18-3
Pradipto Banerjee
{"title":"Covering systems with large moduli associated with reducible shifts of integer polynomials","authors":"Pradipto Banerjee","doi":"10.4064/aa220518-18-3","DOIUrl":"https://doi.org/10.4064/aa220518-18-3","url":null,"abstract":"","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70440111","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
Another Waring–Goldbach problem 另一个沃林-哥德巴赫问题
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220730-3-1
J. Brüdern
{"title":"Another Waring–Goldbach problem","authors":"J. Brüdern","doi":"10.4064/aa220730-3-1","DOIUrl":"https://doi.org/10.4064/aa220730-3-1","url":null,"abstract":"","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70440194","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
Solution to a problem of Luca, Menares and Pizarro-Madariaga 解决卢卡，梅纳雷斯和皮萨罗-马达里亚加的问题
3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa230604-12-7
Yuchen Ding, Lilu Zhao
{"title":"Solution to a problem of Luca, Menares and Pizarro-Madariaga","authors":"Yuchen Ding, Lilu Zhao","doi":"10.4064/aa230604-12-7","DOIUrl":"https://doi.org/10.4064/aa230604-12-7","url":null,"abstract":"Let $kge 2$ be a positive integer and $P^+(n)$ the greatest prime factor of a positive integer $n$ with convention $P^+(1)=1$. For any $theta in left [frac 1{2k},frac {17}{32k}right )$, set $$T_{k,theta }(x)=sum _{substack {p_1cdot cdot c","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135400210","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 a comparison of Cassels pairings of different elliptic curves 不同椭圆曲线Cassels对的比较
3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220709-15-7
Shenxing Zhang
{"title":"On a comparison of Cassels pairings of different elliptic curves","authors":"Shenxing Zhang","doi":"10.4064/aa220709-15-7","DOIUrl":"https://doi.org/10.4064/aa220709-15-7","url":null,"abstract":"Let $e_1,e_2,e_3$ be nonzero integers satisfying $e_1+e_2+e_3=0$. Let $(a,b,c)$ be a primitive triple of odd integers satisfying $e_1a^2+e_2b^2+e_3c^2=0$. Denote by $E: y^2=x(x-e_1)(x+e_2)$ and $mathcal E: y^2=x(x-e_1a^2)(x+e_2b^2)$. Assume that the $2$-Selmer groups of $E$ and $mathcal E$ are minimal. Let $n$ be a positive square-free odd integer, where the prime factors of $n$ are nonzero quadratic residues modulo each odd prime factor of $e_1e_2e_3abc$. Then under certain conditions, the $2$-Selmer group and the Cassels pairing of the quadratic twist $E^{(n)}$ coincide with those of $mathcal E^{(n)}$. As a corollary, $E^{(n)}$ has Mordell-Weil rank zero without order $4$ element in its Shafarevich-Tate group, if and only if these holds for $mathcal E^{(n)}$. We also give some applications for the congruent elliptic curve.","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136260016","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
Zagier duality for real weights 实权值的Zagier对偶性
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220614-13-1
Youngmin Lee, Subong Lim
{"title":"Zagier duality for real weights","authors":"Youngmin Lee, Subong Lim","doi":"10.4064/aa220614-13-1","DOIUrl":"https://doi.org/10.4064/aa220614-13-1","url":null,"abstract":"","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70440032","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