"HYPERELLIPTIC DIOPHANTINE EQUATIONS FROM THE STUDY OF PARTITIONS"

IF 0.2 4区数学 Q4 MATHEMATICS Mathematical Reports Pub Date : 2022-01-01 DOI:10.59277/mrar.2023.25.75.1.73

D. Andrica, George C. Ţurcaş

引用次数: 0

Abstract

"We present two Diophantine equations that arise from some new results in the theory of partitions with equal sums. We link these to the problem of finding rational points on some hyperelliptic curves and we solve the latter, assisted by computer algebra packages, using a p-adic method pioneered by Chabauty and Coleman."

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分区研究中的超椭圆丢番图方程

“我们提出了两个丢番图方程，它们是由等和分割理论中的一些新结果产生的。我们将这些问题与在一些超椭圆曲线上寻找有理点的问题联系起来，我们用Chabauty和Coleman首创的p进方法，在计算机代数包的帮助下解决了后者。”

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Reports MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.

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