Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory
Bruce Berndt, Lowell Schoenfeld (1975)
Acta Arithmetica
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Bruce Berndt, Lowell Schoenfeld (1975)
Acta Arithmetica
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Luchezar N. Stojanov (1989)
Banach Center Publications
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Bru, Bernard (2005)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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Dong Li, Yifei Wu (2014)
Journal of the European Mathematical Society
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The Euler-Poisson system is a fundamental two-fluid model to describe the dynamics of the plasma consisting of compressible electrons and a uniform ion background. In the 3D case Guo [7] first constructed a global smooth irrotational solution by using the dispersive Klein-Gordon effect. It has been conjectured that same results should hold in the two-dimensional case. In our recent work [13], we proved the existence of a family of smooth solutions by constructing the wave operators for...
Alan Weinstein (2000)
Banach Center Publications
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M. Majsnerowska (1998)
Applicationes Mathematicae
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One more method of Poisson approximation is presented and illustrated with examples concerning binomial, negative binomial and hypergeometric distributions.
Emmanuel Kowalski (2011)
Acta Arithmetica
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Robert S. Coulter, Marie Henderson, Felix Lazebnik (2006)
Acta Arithmetica
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C. Ryll-Nardzewski (1953)
Studia Mathematica
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Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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