Does the Riemann zeta function satisfy a differential equation?

DOI10.1016/J.JNT.2014.08.013zbMath1382.11060OpenAlexW2040412302WikidataQ115345749 ScholiaQ115345749MaRDI QIDQ472876

Robert A. van Gorder

Publication date: 20 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.08.013

zbMATH Keywords

Riemann zeta functionEuler-maclauren summation formulainfinite order differential equation

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Ordinary differential equations of infinite order (34A35)

Related Items (4)

Linear operators, the Hurwitz zeta function and Dirichlet \(L\)-functions ⋮ Algebraic differential independence regarding the Riemann \(\boldsymbol{\zeta}\)-function and the Euler \(\boldsymbol{\Gamma}\)-function ⋮ Infinite order linear differential equation satisfied by \(p\)-adic Hurwitz-type Euler zeta functions ⋮ Corrigendum to: ``Linear operators, the Hurwitz zeta function and Dirichlet \(L\)-functions

Cites Work

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• The universality of zeta-functions
• A Linearization Approach for Rational Nonlinear Models in Mathematical Physics
• GLAISHER-TYPE PRODUCTS OVER THE PRIMES
• Difference independence of the Riemann zeta function
• О функциональной независимости L-функций Дирихле
• THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
• Approximation by the Riemann zeta-function
• Linear differential equations of infinite order

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