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math.NT2022★ 1 cited
On correlation of the 3-fold divisor function with itself
David T. Nguyen
Let . We present three conditional results on the ternary additive correlation sum $$\sum_{n\le X} τ_3(n) τ_3(n+h),\quad (h\ge…
math.NT2022
Variance of the k-fold divisor function in arithmetic progressions for individual modulus
David T. Nguyen
In this paper, we confirm a smoothed version of a recent conjecture on the variance of the k-fold divisor function in arithmetic progressions to individual composite moduli, in a r…