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Acta Arithmetica最新文献

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Density theorems for Riemann’s zeta-function near the line ${rm Re}, s = 1$ 线${rm Re}， s = 1$附近的Riemann ζ函数的密度定理
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa210824-10-5
J. Pintz
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引用次数: 1
A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields 有理数和虚二次域的类数的位数的某一字符扭平均值
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220114-28-5
Y. Mizuno
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引用次数: 0
A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem 加性素论中一个新的显式公式及其应用I.哥德巴赫问题和广义孪生素数问题的显式公式
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220728-31-3
J. Pintz
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引用次数: 0
Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces $p+m^2+n^2= n $解的等分布，以及ch<s:1> teleet曲面的等分布
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa230105-10-3
D. R. Heath-Brown
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引用次数: 1
On sums of fractional parts 分数部分的和
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa230411-16-6
W. Duke
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引用次数: 0
Rigidity in elliptic curve local-global principles 椭圆曲线局部-全局原理的刚性
3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa230101-29-6
Jacob Mayle
{"title":"Rigidity in elliptic curve local-global principles","authors":"Jacob Mayle","doi":"10.4064/aa230101-29-6","DOIUrl":"https://doi.org/10.4064/aa230101-29-6","url":null,"abstract":"We study the rigidity of the local conditions in two well-known local-global principles for elliptic curves over number fields. In particular, we consider a local-global principle for torsion due to Serre and Katz, and one for isogenies due to Sutherland.","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"17 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":"135181153","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: 2
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions) 关于由给定素数组成的整数集的加性分解和乘性分解，II(乘性分解)
3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220805-13-6
K. Győry, L. Hajdu, A. Sárközy
{"title":"On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions)","authors":"K. Győry, L. Hajdu, A. Sárközy","doi":"10.4064/aa220805-13-6","DOIUrl":"https://doi.org/10.4064/aa220805-13-6","url":null,"abstract":"In part I of this paper we sharpened and extended some results of Elsholtz and Harper on the <em>additive</em> decomposability of sets of integers with restricted prime factors. In this paper we will study the <em>multiplicative</em> analogs of the result","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"158 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":"135562718","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
Explicit results for Euler’s factorial series in arithmetic progressions under GRH GRH下等差数列的欧拉阶乘级数的显式结果
3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220923-4-9
Neea Palojärvi
{"title":"Explicit results for Euler’s factorial series in arithmetic progressions under GRH","authors":"Neea Palojärvi","doi":"10.4064/aa220923-4-9","DOIUrl":"https://doi.org/10.4064/aa220923-4-9","url":null,"abstract":"We study Euler’s factorial series $F_p(t)=sum _{n=0}^infty n!t^n$ in the $p$-adic domain under the Generalized Riemann Hypothesis. First, we show that if we consider primes in $kvarphi (m)/(k+1)$ residue classes in the reduced residue system modulo $m$","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":"135704397","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 Fermat quartics $x^4+y^4=Dz^4$ over cubic fields 在费马四分域中，x^4+y^4=Dz^4
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220613-14-2
A. Bremner, N. X. Tho
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引用次数: 0
Some remarks on the reduction map for Drinfeld modules 关于Drinfeld模块约简图的一些注释
IF 0.7 3区 数学
Acta Arithmetica Pub Date : 2023-01-01 DOI: 10.4064/aa220801-6-7
P. Krasoń
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引用次数: 0
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