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math.NT2021
On the distribution of Ramanujan Sums over number fields
Sneha Chaubey, Shivani Goel
For a number field , and integral ideals and in its number ring , Nowak studied the asymptotic behaviour of the av…
math.NT2020
Mean value estimates of gcd and lcm-sums
Sneha Chaubey, Shivani Goel
We study the distribution of the generalized gcd and lcm functions on average. The generalized gcd function, denoted by , is the largest -th power divisor common to …