Ankit Bhojak

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20242026

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math.NT2026

$ℓ^{p} (Z^{n})$ -estimate for long $r$ -variational seminorm of discrete Birch-Magyar averages

Ankit Bhojak, Siddhartha Samanta, Saurabh Shrivastava

We prove $ℓ^{p} (Z^{n}) -$ estimates for long $r$ -variational seminorm of two families of averages: discrete Birch-Magyar averages, for $r > ma x {p, p^{'}}$ with $p>\frac{2c_{\math…

math.NT2024

Sparse Bounds for Discrete Maximal Functions associated with Birch-Magyar averages

Ankit Bhojak, Surjeet Singh Choudhary, Siddhartha Samanta +1

In this article, we study discrete maximal function associated with the Birch-Magyar averages over sparse sequences. We establish sparse domination principle for such operators. As…

ℓp(Zn)-estimate for long r-variational seminorm of discrete Birch-Magyar averages

Sparse Bounds for Discrete Maximal Functions associated with Birch-Magyar averages

$ℓ^{p} (Z^{n})$ -estimate for long $r$ -variational seminorm of discrete Birch-Magyar averages