2021/06/22 by Soumyarup Banerjee, Rahul Kumar, Banerjee, Soumyarup +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Divisor (algebraic geometry) #Divisor function #FOS: Mathematics #Field (mathematics) #Function (biology) #Function field #History and Theory of Mathematics #Kernel (algebra) #Mathematics #Number Theory (math.NT) #Pure mathematics #math.CA #math.NT
paper · pdf · doi:10.48550/arxiv.2106.11608
15 pages. arXiv admin note: text overlap with arXiv:2105.04141
arxiv created 2021/06/22 · openalex publication_date 2021/06/22 · arxiv updated 2021/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we study a divisor function in an arbitrary number field akin to Koshliakov's work on Vorono"\dotlessi summation formula. More precisely, we generalize Koshliakov's kernel and Koshliakov's transform over any number field to obtain identities for the Lambert series associated to the divisor function in an arbitrary number field.