A measure for the linear independence of certain numbers
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Publication:800962
DOI10.1007/BF03322498zbMath0552.10021MaRDI QIDQ800962
Iekata Shiokawa, Peter Bundschuh
Publication date: 1984
Published in: Results in Mathematics (Search for Journal in Brave)
entire transcendental functionJacobi theta functionmeasure of linear independence over imaginary quadratic field
Theta functions and abelian varieties (14K25) Transcendence (general theory) (11J81) Approximation by numbers from a fixed field (11J17)
Related Items (11)
Quantitative linear independence of an infinite product and its derivatives ⋮ Linear independence measures for certain numbers ⋮ On restricted approximation measures of Jacobi's triple product ⋮ Measures of linear independence of values of entire transcendental solutions of certain functional equations ⋮ A linear independence measure for certain \(p\)-adic numbers ⋮ Linear independence of the values of \(q\)-hypergeometric series and related functions ⋮ Padé approximations to certain power series ⋮ Zu einem Satz von Skolem über lineare Unabhängigkeiten von Werten gewisser Thetareihen. (On a theorem of Skolem on linear independence of values of certain theta series) ⋮ Arithmetic properties of special Heine series ⋮ Generalization of a recent irrationality result of Mahler ⋮ Über die lineare Unabhängigkeit von Werten einer speziellen Reihe. (On the linear independence of values of a special series)
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