On quadratic character sums over quartics
Bogdan Nica
TL;DR
This paper develops transformation formulas for quadratic character sums involving quartic and cubic polynomial arguments, advancing the understanding of their properties and behaviors.
Contribution
It introduces new transformation formulas for quadratic character sums with quartic and cubic polynomial arguments, providing novel analytical tools.
Findings
Derived explicit transformation formulas
Enhanced understanding of character sum behaviors
Potential applications in number theory
Abstract
We obtain transformation formulas for quadratic character sums with quartic and cubic polynomial arguments.
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Taxonomy
TopicsAnalytic Number Theory Research · History and Theory of Mathematics · Mathematics and Applications