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Displaying similar documents to “Extremal plurisubharmonic functions”

On hypoellipticity in 𝒢 .

Nedeljkov, M., Pilipović, S. (2002)

Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques

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On hypoellipticity in g

M. Nedeljkov, S. Pilipović (2002)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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Approximation of values of hypergeometric functions by restricted rationals

Carsten Elsner, Takao Komatsu, Iekata Shiokawa (2007)

Journal de Théorie des Nombres de Bordeaux

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We compute upper and lower bounds for the approximation of hyperbolic functions at points 1 / s ( s = 1 , 2 , ⋯ ) by rationals x / y , such that x , y satisfy a quadratic equation. For instance, all positive integers x , y with y ≡ 0 ( mod 2 ) solving the Pythagorean equation x 2 + y 2 = z 2 satisfy | y sinh ( 1 / s ) - x | ≫ log log y log y . Conversely, for every s = 1 , 2 , ⋯ there are infinitely many coprime integers x , y , such that | y sinh ( 1 / s ) - x | ≪ log log y log y and x 2 + y 2 = z 2 hold simultaneously for some integer z . A generalization to the approximation of h ( e 1 / s ) for rational...