Ankeny-Artin-Chowla type congruences modulo p3

Stanislav Jakubec; František Marko

doi:10.2478/s12175-013-0165-7

Ankeny-Artin-Chowla type congruences modulo p³

Stanislav Jakubec
, František Marko

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The goal of this paper is to use algebraic techniques to compute sums of powers of roots of certain polynomials and derive congruences of Ankeny-Artin-Chowla types modulo p ³.

Original language	English (US)
Pages (from-to)	1183-1208
Number of pages	26
Journal	Mathematica Slovaca
Volume	63
Issue number	6
DOIs	https://doi.org/10.2478/s12175-013-0165-7
State	Published - Dec 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2478/s12175-013-0165-7

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title = "Ankeny-Artin-Chowla type congruences modulo p3",

abstract = "The goal of this paper is to use algebraic techniques to compute sums of powers of roots of certain polynomials and derive congruences of Ankeny-Artin-Chowla types modulo p 3.",

author = "Stanislav Jakubec and Franti{\v s}ek Marko",

note = "Funding Information: 2010 M a t h e m a t i c s Subj ect C l assi f i cati on: Primary 11R29. Keywords: Bernoulli numbers, class number, Ankeny-Artin-Chowla congruences. Research partially supported by the grant VEGA 2/0206/10.",

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doi = "10.2478/s12175-013-0165-7",

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pages = "1183--1208",

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AU - Jakubec, Stanislav

AU - Marko, František

N1 - Funding Information: 2010 M a t h e m a t i c s Subj ect C l assi f i cati on: Primary 11R29. Keywords: Bernoulli numbers, class number, Ankeny-Artin-Chowla congruences. Research partially supported by the grant VEGA 2/0206/10.

PY - 2013/12

Y1 - 2013/12

N2 - The goal of this paper is to use algebraic techniques to compute sums of powers of roots of certain polynomials and derive congruences of Ankeny-Artin-Chowla types modulo p 3.

AB - The goal of this paper is to use algebraic techniques to compute sums of powers of roots of certain polynomials and derive congruences of Ankeny-Artin-Chowla types modulo p 3.

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UR - https://www.scopus.com/pages/publications/84891280030#tab=citedBy

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JO - Mathematica Slovaca

JF - Mathematica Slovaca

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ER -

Ankeny-Artin-Chowla type congruences modulo p³

Abstract

All Science Journal Classification (ASJC) codes

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