An arithmetic Poisson formula

Research output: Contribution to journalArticlepeer-review

Abstract

Let α(n) denote any arithmetic function. Since most arithmetic functions that are encountered are defined on only the nonnegative integers, we define α(−n) = α(n) for each positive integer n. Our objective is to develop a Poisson type formula for Σn=−∞α(n)f(n), where f belongs to a suitable class of functions. We conclude the paper with several applications of our arithmetic Poisson formula.

Original languageEnglish (US)
Pages (from-to)295-299
Number of pages5
JournalPacific Journal of Mathematics
Volume103
Issue number2
DOIs
StatePublished - Dec 1982

ASJC Scopus subject areas

  • Mathematics(all)

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