Mayank Pandey

activity

20222026

most citedPartial sums of typical multiplicative functions over short moving intervals

6 citations · 6 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.NT2023

Numbers with at most $2$ prime factors in short arithmetic progressions

Mayank Pandey

We show that if $\frac{L}{φ ( q ) l o g X} \to \infty$ as $X \to \infty$ , almost all $(a, x) \in (Z / q Z)^{\times} \times [X, 2 X]$ are such that there exists a product of at most…

math.NT2023

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

Mayank Pandey, Maksym Radziwiłł

We show that the $L^{1}$ norm of an exponential sum of length $X$ and with coefficients equal to the Liouville or Möbius function is at least $\gg_{\varepsilon} X^{1/4 - \varepsilon}…

math.NT2023

Small scale distribution of linear patterns of primes

Mayank Pandey, Katharine Woo

Let $Ψ$ be a system of linear forms with finite complexity. In their seminal paper, Green and Tao showed the following prime number theorem for values of the system $Ψ$ : $$\sum_{x\…

Numbers with at most 2 prime factors in short arithmetic progressions

L1 means of exponential sums with multiplicative coefficients. I

Small scale distribution of linear patterns of primes

Numbers with at most $2$ prime factors in short arithmetic progressions

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