THE MELLIN TRANSFORM OF THE SQUARE OF RIEMANN'S ZETA-FUNCTION

DOI10.1142/S1793042105000042zbMath1077.11060arXivmath/0411040OpenAlexW2016133429MaRDI QIDQ5316935

Aleksandar Ivić

Publication date: 15 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0411040

zbMATH Keywords

Mellin transformRiemann zeta-functionmeromorphic continuation

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (6)

The Mellin transform of Hardy's function is entire ⋮ A growth estimate for the Mellin transform of the Riemann zeta function ⋮ The Mellin transform of the square of the Riemann zeta-function in the critical strip ⋮ Mean square of the Mellin transform of the Riemann zeta-function ⋮ A two-dimensional limit theorem for Mellin transforms of the Riemann zeta-function ⋮ MELLIN TRANSFORM OF DIRICHLET L-FUNCTIONS WITH PRIMITIVE CHARACTER

Cites Work

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• On the mean-square of the Riemann zeta-function on the critical line
• On some conjectures and results for the Riemann zeta-function and Hecke series
• The Mellin transform of the square of Riemann's zeta-function

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