Some Mellin transforms for the Riemann zeta function in the critical strip

DOI10.1142/S1793042119500039zbMath1456.11158arXiv1705.02256OpenAlexW3104694821MaRDI QIDQ4623469

Alexander E. Patkowski

Publication date: 15 February 2019

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

Full work available at URL: https://arxiv.org/abs/1705.02256

zbMATH Keywords

Mellin transformRiemann zeta functiondigamma function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations
• Riesz-type criteria and theta transformation analogues
• Zeros of combinations of the Riemann \(\xi\)-function on bounded vertical shifts
• Analogues of the general theta transformation formula

This page was built for publication: Some Mellin transforms for the Riemann zeta function in the critical strip