Bounds on shifted convolution sums for Hecke eigenforms
Asbjorn Christian Nordentoft, Yiannis N. Petridis, Morten S. Risager
TL;DR
This paper studies bounds on shifted convolution sums for Hecke eigenforms, providing insights into their behavior through pointwise, mean-square, and average bounds in analytic number theory.
Contribution
It offers new bounds on shifted convolution sums for Hecke eigenforms, enhancing understanding of their properties in analytic number theory.
Findings
Established pointwise bounds for shifted convolution sums
Derived mean-square bounds for these sums
Analyzed average bounds to understand typical behavior
Abstract
Shifted convolution sums play a prominent r\^ole in analytic number theory. We investigate pointwise bounds, mean-square bounds, and average bounds for shifted convolution sums for Hecke eigenforms.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Algebra and Geometry