An integral equation for Riemann's zeta function and its approximate solution

DOI10.1155/2020/1832982zbMath1474.33080arXiv1901.01256OpenAlexW3102314903MaRDI QIDQ2198032

Michael S. Milgram

Publication date: 8 September 2020

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01256

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

A series representation for Riemann's zeta function and some interesting identities that follow

Uses Software

• Maple
• Mathematica
• DLMF
• Theta3Romik

Cites Work

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• Integral and series representations of Riemann's zeta function and Dirichlet's eta function and a medley of related results
• A zero-density theorem for the Riemann zeta-function
• The Taylor coefficients of the Jacobi theta constant \(\theta_3\)
• Decoupling, exponential sums and the Riemann zeta function
• The Generalized Integro-Exponential Function
• Further exploration of Riemann's functional equation
• Exploring Riemann’s functional equation
• Extreme Values of the Riemann Zeta Function on the 1-Line
• AN ELECTROSTATIC DEPICTION OF THE VALIDITY OF THE RIEMANN HYPOTHESIS AND A FORMULA FOR THE NTH ZERO AT LARGE N

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