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Bibliographic Details
Main Authors:	Bhojak, Ankit, Choudhary, Surjeet Singh, Samanta, Siddhartha, Shrivastava, Saurabh
Format:	Preprint
Published:	2024
Subjects:	Number Theory Classical Analysis and ODEs Primary 11D72, 42B25, Secondary 11P55, 11L05
Online Access:	https://arxiv.org/abs/2412.06348
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Table of Contents:

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 a consequence, we obtain $\ell^p$-estimates for such discrete maximal function over sparse sequences for all $p>1$. The proof of sparse bounds is based on scale-free $\ell^p-$improving estimates for the single scale Birch-Magyar averages.