Another generalization of Menon's identity

作者：Zhao, Xiao Peng; Cao, Zhen Fu^*

来源：International Journal of Number Theory, 2017, 13(9): 2373-2379.

DOI：10.1142/S1793042117501299

• Menon's identity
• Dirichlet character
• great common divisor
• sum

Let. be the Euler's totient function and tau(n) be the number of divisors of n. Menon's beautiful identity states that
Sigma(n)(k= 1) (gcd(k, n)= 1) gcd( k - 1, n) =phi(n)tau(n).
Here we extend this identity to Dirichlet characters mod n.

• 出版日期2017-10
• 单位华东师范大学