Large values of Dirichlet L-functions over function fields

DOI10.1142/S1793042120500566zbMath1467.11108WikidataQ126587931 ScholiaQ126587931MaRDI QIDQ5111929

Dragan Đokić, Ilija Vrećica, Nikola Lelas

Publication date: 27 May 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functionfunction fieldsDirichlet polynomialsDirichlet \(L\)-functionsresonance methodGál's sums

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) (zeta (s)) and (L(s, chi)) (11M06) Algebraic functions and function fields in algebraic geometry (14H05) Zeta functions and (L)-functions of function fields (11R59)

Cites Work

• Lower bounds for the maximum of the Riemann zeta function along vertical lines
• Extreme values of zeta and \(L\)-functions
• Extreme values of the Riemann zeta function
• Large greatest common divisor sums and extreme values of the Riemann zeta function
• The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes
• COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF OVER FUNCTION FIELDS WITH APPLICATIONS TO CLASS NUMBERS
• On large values of L(σ,χ)
• Extreme Values of the Riemann Zeta Function on the 1-Line
• Sommes de Gál et applications
• THE FOURTH MOMENT OF DIRICHLET L-FUNCTIONS FOR THE RATIONAL FUNCTION FIELD
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