{"title":"ON THE PARABOLIC PARTITIONS OF A NUMBER","authors":"F. Vega","doi":"10.17654/0972555523015","DOIUrl":null,"url":null,"abstract":"The paper solves the enumeration of the set of partitions of in which the nondecreasing sequence of parts , is contained in a degree-2 polynomial . This is a generalization of the partitions of a number into arithmetic progressions. We also study the problem of dividing into parts whose differences between consecutive parts are consecutive integers. In particular, we focus on the problem of the sum of consecutive triangular numbers.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"27 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JP Journal of Algebra Number Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17654/0972555523015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The paper solves the enumeration of the set of partitions of in which the nondecreasing sequence of parts , is contained in a degree-2 polynomial . This is a generalization of the partitions of a number into arithmetic progressions. We also study the problem of dividing into parts whose differences between consecutive parts are consecutive integers. In particular, we focus on the problem of the sum of consecutive triangular numbers.
IF 9.6 1区 医学Molecular PsychiatryPub Date : 2024-11-14DOI: 10.1038/s41380-024-02793-1
David Laguna-Muñoz, Ana Jiménez-Peinado, María José Jaén-Moreno, Cristina Camacho-Rodríguez, Gloria Isabel del Pozo, Eduard Vieta, Javier Caballero-Villarraso, Muhammad Ijlal Khan, Fernando Rico-Villademoros, Fernando Sarramea
期刊介绍：
The JP Journal of Algebra, Number Theory and Applications is a peer-reviewed international journal. Original research papers theoretical, computational or applied, in nature, in any branch of Algebra and Number Theory are considered by the JPANTA. Together with the core topics in these fields along with their interplay, the journal promotes contributions in Diophantine equations, Representation theory, and Cryptography. Realising the need of wide range of information for any emerging area of potential research, the journal encourages the submission of related survey articles as well.
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