Abstract
This paper studies Menon-type identities involving both multiplicative characters and additive characters. In the paper, we shall give the explicit formula of the following sum (formula presented) where for a positive integer n, Z* n is the group of units of the ring Zn = Z/nZ, gcd represents the greatest common divisor, χ is a Dirichlet character modulo n, and for a nonnegative integer k, λ1,…, λk are additive characters of Zn. Our formula further extends the previous results by Sury [13], Zhao-Cao [17] and Li-Hu-Kim [4].
| Original language | English |
|---|---|
| Pages (from-to) | 545-555 |
| Number of pages | 11 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 23 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2019.06 |
Keywords
- Additive character
- Chinese remainder theorem
- Dirichlet character
- Divisor function
- Euler’s totient function
- Iverson bracket
- Menon’s identity
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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