Measure Theoretic Aspects Of Error Terms
Kamalakshya Mahatab
TL;DR
This thesis explores the measure theoretic properties of error term fluctuations in asymptotic formulas, providing a deeper understanding of their behavior in mathematical analysis.
Contribution
It introduces new measure theoretic techniques to analyze the fluctuations of error terms in various asymptotic contexts.
Findings
Characterization of error term fluctuations using measure theory
Identification of conditions affecting error term behavior
Development of new analytical tools for asymptotic analysis
Abstract
This thesis investigates on measure theoretic aspects of fluctuations of error terms appearing in various asymptotic formulas.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Mathematical functions and polynomials