TL;DR
This paper investigates inequalities for exponential sums, improving upon previous results by Halasz and Kos, and establishing several sharp related inequalities.
Contribution
The paper introduces new, sharper inequalities for exponential sums, advancing the theoretical understanding beyond prior known bounds.
Findings
Improved inequality bounds for exponential sums
Enhanced results over previous work by Halasz and Kos
Establishment of several sharp related inequalities
Abstract
Inequalities for exponential sums are studied. Our results improve an old result of G. Halasz and a recent result of G. Kos. We prove several other essentially sharp related results in this paper.
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