Ramanujan expansions of arithmetic functions of several variables

Abstract

We generalize certain recent results of Ushiroya concerning Ramanujan expansions of arithmetic functions of two variables. We also show that some properties on expansions of arithmetic functions of one and several variables using classical and unitary Ramanujan sums, respectively, run parallel.

15 pages, revised

References in corpus (1)

• On generalized Ramanujan primes

Cited by in corpus (3)

• On Ramanujan Sums of a Real Variable and a New Ramanujan Expansion for the Divisor Function
• Ramanujan expansions of arithmetic functions of several variables over ${\mathbb{F}}_q[T]$
• Expansions of arithmetic functions of several variables with respect to certain modified unitary Ramanujan sums