The Least Quadratic Nonresidue and the Least Prime in an Arithmetic Progression through Fourier Optimization
Document Type
Lecture
Publication Date
4-4-2023
Abstract
In this joint work with E. Carneiro, M. Milinovich and E. Quesada-Herrera, we establish new bounds for the least quadratic nonresidue and the least prime in an arithmetic progression under the Generalized Riemann Hypothesis. We obtain these new bounds by investigating a Fourier extremal problem arising from an application of the Guinand-Weil explicit formula.
Relational Format
presentation
Recommended Citation
Ramos, Antonio Pedro, "The Least Quadratic Nonresidue and the Least Prime in an Arithmetic Progression through Fourier Optimization" (2023). Algebra/Number Theory Seminar. 5.
https://egrove.olemiss.edu/math_algebra_number_theory/5
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