ZERO-FREE REGIONS OF A q-ANALOGUE OF THE COMPLETE RIEMANN ZETA FUNCTION

DOI10.1142/S1793042111004344zbMath1222.11105MaRDI QIDQ5198406

Mitsugu Mera

Publication date: 8 August 2011

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

zbMATH Keywords

zero-free regionRiemann's hypothesisnumerical calculation\(q\)-zeta functionMellin's transformJackson's integral

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Approximation in the complex plane (30E10) Computation of special functions and constants, construction of tables (65D20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Approximation by other special function classes (41A30)

Cites Work

• Applications of the Mellin transform in quantum calculus
• JACKSON-MELLIN'S TRANSFORM OF MODULAR FORMS AND q-ZETA FUNCTIONS
• The q-Mellin transform of automorphic forms and converse theorems
• Unnamed Item

This page was built for publication: ZERO-FREE REGIONS OF A q-ANALOGUE OF THE COMPLETE RIEMANN ZETA FUNCTION