Legendre polynomials in irrationality proofs

DOI10.1017/S0004972700006742zbMath0436.10016MaRDI QIDQ3876008

Frits Beukers

Publication date: 1980

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

zbMATH Keywords

exponential functionRiemann zeta-functionirrationalityLegendre polynomialszeros of Bessel functionspi square

Mathematics Subject Classification ID

Transcendence (general theory) (11J81)

Related Items (5)

Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms) ⋮ Simultaneous Padé approximants to the Euler, exponential and logarithmic functions ⋮ On the arithmetic nature of the values of the gamma function, Euler's constant, and Gompertz's constant ⋮ The interior inverse scattering problem for cavities with an artificial obstacle ⋮ On an evaluation method for zeta constants based on a number theoretic approach

Cites Work

• Ein \(p\)-adischer Beweis für die Irrationalität der Nullstellen von Besselfunktionen
• Irrationalitätsmaße für \(e^ a , a \neq 0\) rational oder Liouville-Zahl
• A Note on the Irrationality of ζ(2) and ζ(3)
• A simple proof that 𝜋 is irrational

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