Indagationes Mathematicae-New Series最新文献

Alternating multiple mixed values: Regularization, special values, parity, and dimension conjectures 交替多重混合值：正则化、特殊值、奇偶性和维度猜想

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.06.001

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引用次数: 0

Class numbers, Ono invariants and some interesting primes 类数、小野不变式和一些有趣的素数

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.06.003

{"title":"Class numbers, Ono invariants and some interesting primes","authors":"","doi":"10.1016/j.indag.2024.06.003","DOIUrl":"10.1016/j.indag.2024.06.003","url":null,"abstract":"<div><div>Our aim is to find all the prime numbers <span><math><mi>p</mi></math></span> such that <span><math><mrow><mi>p</mi><mo>+</mo><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span> has at most two different prime factors, for all the odd integers <span><math><mi>x</mi></math></span> such that <span><math><mrow><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>≤</mo><mi>p</mi></mrow></math></span>. We solve entirely the cases <span><math><mrow><mi>p</mi><mo>≡</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mspace></mspace><mrow><mo>(</mo><mo>mod</mo><mspace></mspace><mn>8</mn><mo>)</mo></mrow></mrow></math></span>, using the knowledge of the quadratic imaginary number fields with class numbers 4, 1 and 2 respectively. The case <span><math><mrow><mi>p</mi><mo>≡</mo><mn>7</mn><mspace></mspace><mrow><mo>(</mo><mo>mod</mo><mspace></mspace><mn>8</mn><mo>)</mo></mrow></mrow></math></span> is not completely solved. Taking into account a result of Stéphane Louboutin, we prove that there is at most one value <span><math><mrow><mi>p</mi><mo>≡</mo><mn>7</mn><mspace></mspace><mrow><mo>(</mo><mo>mod</mo><mspace></mspace><mn>8</mn><mo>)</mo></mrow></mrow></math></span> besides our list. Assuming a Restricted Riemann Hypothesis, the list is complete. In the last section of the paper we give a short sketch for the general problem: find all odd integers <span><math><mrow><mi>n</mi><mo>></mo><mn>1</mn></mrow></math></span> such that <span><math><mrow><mi>n</mi><mo>+</mo><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span> has at most two different prime factors, for all the odd integers <span><math><mi>x</mi></math></span> such that <span><math><mrow><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>≤</mo><mi>n</mi></mrow></math></span>.</div></div>","PeriodicalId":56126,"journal":{"name":"Indagationes Mathematicae-New Series","volume":"35 6","pages":"Pages 1249-1258"},"PeriodicalIF":0.5,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141504918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Integral expressions for Schur multiple zeta values 舒尔多重zeta值的积分表达式

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.05.010

引用次数: 0

Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras 由零能环子布拉诱导的非扭曲仿射李代数的简单模块

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.05.003

引用次数: 0

Functorial splitting of l-adic cohomology of an extension of group varieties 群变种扩展的[公式省略]-自洽同调的函数分裂

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.05.006

引用次数: 0

A characterization of differential operators in the ring of complex polynomials 复多项式环中微分算子的表征

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.07.011

Włodzimierz Fechner , Eszter Gselmann

引用次数: 0

Finite odometer factors of rank one group actions 一级群作用的有限里程表因子

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.04.012

引用次数: 0

A note on the inverse problem for finite differential Galois groups 关于有限微分伽罗瓦群逆问题的说明

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.06.005

引用次数: 0

An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields 拉斯穆森和玉川对函数域上无性变种猜想的类比

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.06.007

Mentzelos Melistas

引用次数: 0

The Generalized Riemann Hypothesis from zeros of a single L-function 从单一 L 函数的零点出发的广义黎曼假说

IF 0.5 4区数学

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI: 10.1016/j.indag.2024.07.009

William Banks

引用次数: 0