Menon-type identities concerning additive characters
L\'aszl\'o T\'oth

TL;DR
This paper generalizes Menon-type identities involving additive characters of the group Z_n using convolutional identities, and explores related formulas for Ramanujan sums and other applications.
Contribution
It introduces a new approach based on convolutional identities to generalize Menon-type identities involving additive characters.
Findings
Generalized Menon-type identities for additive characters
Derived formulas for Ramanujan sums
Presented applications of the new identities
Abstract
By considering even functions (mod ) we generalize a Menon-type identity by Li and Kim involving additive characters of the group . We use a different approach, based on certain convolutional identities. Some other applications, including related formulas for Ramanujan sums, are discussed, as well.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
