M. Pandey

activity

20162026

most citedOn Eisenstein primes

2 citations · 5 across the 8 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.NT2019

Moment estimates for the exponential sum with higher divisor functions

Mayank Pandey

We obtain asymptotic for the quantity $\int_{0}^{1} \sum_{n \leq X} τ_{k} (n) e (n α) d α$ where $τ_{k} (n) = \sum_{d_{1} \dots d_{k} = n} 1$ . This follows from a quick application of the cir…

math.NT2019★ 1 cited

On the mean value of the magnitude of an exponential sum involving the divisor function

Mayank Pandey

We obtain an asymptotic formula for the L^1 norm of the exponential sum $M (α) = \sum_{n \leq X} τ (n) e (n α)$ where $τ (n) = \sum_{d ∣ n} 1$ is the divisor function. In particular, we show…