{"title":"A probabilistic proof of a recurrence relation for sums of values of degenerate falling factorials","authors":"Taekyun Kim, Dae san Kim","doi":"arxiv-2409.07742","DOIUrl":null,"url":null,"abstract":"In this paper, we consider sums of values of degenerate falling factorials\nand give a probabilistic proof of a recurrence relation for them. This may be\nviewed as a degenerate version of the recent probabilistic proofs on sums of\npowers of integers.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"25 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07742","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we consider sums of values of degenerate falling factorials
and give a probabilistic proof of a recurrence relation for them. This may be
viewed as a degenerate version of the recent probabilistic proofs on sums of
powers of integers.
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