Mayank Pandey

collaborators

2 papers

math.NT2026

Exponential sums over primes

James Maynard, Mayank Pandey, Maksym Radziwiłł

Let $α = a / q + ε$ with $(a, q) = 1$ , $q \leq N^{1/2}$ and $∣ ε ∣ \leq 1/ (q N^{1/2})$ , and let $B := max (q, q N ∣ ε ∣)$ . We show that \[ \Bigl|\sum_{n<N}Λ(n)e(nα)\Bigr|\le N^{o(1)}\Bigl(\frac{N}{B^{1/2…

math.NT2025

$L^{1}$ means of exponential sums with multiplicative coefficients. II

Mayank Pandey, Maksym RadziwiÅÅ

Let $f$ be a real-valued $1$ -bounded multiplicative function. Suppose that the mean-value of $f^{2}$ exists, and $$\int_{0}^{1} \Big | \sum_{n \leq N} f(n)e^{2Ïi n Î±} \Big | d Î±…

Exponential sums over primes

L1 means of exponential sums with multiplicative coefficients. II

$L^{1}$ means of exponential sums with multiplicative coefficients. II