HYPERTRANSCENDENCE OF -FUNCTIONS FOR

DOI10.1017/S000497271500129XzbMath1404.11063MaRDI QIDQ2814337

Hirofumi Nagoshi

Publication date: 21 June 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(L\)-functionDirichlet serieshypertranscendencedifference-differential independence

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta and (L)-functions: analytic theory (11M99) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (1)

ON THE FUNCTIONAL INDEPENDENCE OF THE RIEMANN ZETA-FUNCTION

Cites Work

• Unnamed Item
• Value distribution of \(L\)-functions
• Zetafunktionen und Differenzen-Differentialgleichungen
• A note on Hölder's theorem concerning the Gamma function
• Zeros of principal \(L\)-functions and random matrix theory
• Zeta functions of simple algebras
• A proof of Selberg's orthogonality for automorphic \(L\)-functions
• ÜBER DIRICHLETSCHE REIHEN UND HOLOMORPHE DIFFERENTIALGLEICHUNGEN
• Difference independence of the Riemann zeta function
• On Euler Products and the Classification of Automorphic Representations I
• On some new properties of the gamma function and the Riemann zeta function
• On the universality for L-functions attached to Maass forms

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