On the problem of Gauss
O. Fomenko (1961)
Acta Arithmetica
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Displaying similar documents to “An application of Minkowski's theorem in the geometry of numbers”
On the problem of Gauss
Finite dimensional projection constants
H. König, D. Lewis, P.-K. Lin (1983)
Studia Mathematica
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The Baskakov operators for functions of two variables.
M. Gurdek, L. Rempulska, M. Skorupka (1999)
Collectanea Mathematica
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An application of Kloosterman sums
Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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New variants of Khintchine's inequality.
Ioan Serb (2001)
Collectanea Mathematica
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Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.
On the distribution of random walk local time
A. N. Borodin (1987)
Annales de l'I.H.P. Probabilités et statistiques
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The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
Riccardo Adami, Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta (2003)
Annales de l'I.H.P. Analyse non linéaire
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«Approximate approximations» and the cubature of potentials
Gunther Schmidt (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.