Poisson summation formulas involving the sum-of-squares function

Nir Lev, Gilad Reti

Research output: Contribution to journalArticlepeer-review

Abstract

We obtain new Poisson type summation formulas with nodes ±n and with weights involving the function rk(n) that gives the number of representations of a positive integer n as the sum of k squares. Our results extend summation formulas due to Guinand and Meyer that involve the sum-of-three-squares function r3(n).

Original languageEnglish
Pages (from-to)403-421
Number of pages19
JournalIsrael Journal of Mathematics
Volume246
Issue number1
DOIs
StatePublished - Dec 2021

Bibliographical note

Publisher Copyright:
© 2021, The Hebrew University of Jerusalem.

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