Degeneration of multiple Euler products
Hirotaka Akatsuka (2006)
Acta Arithmetica
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Hirotaka Akatsuka (2006)
Acta Arithmetica
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Tasoev, B.G. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Florian Luca, Pantelimon Stănică (2007)
Acta Arithmetica
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William D. Banks, John B. Friedlander, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski (2006)
Acta Arithmetica
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William D. Banks, Florian Luca (2005)
Acta Arithmetica
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Udrişte, C., Postolache, M., Ţevy, I. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Hao Pan, Zhi-Wei Sun (2006)
Acta Arithmetica
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Ken Shirakawa (2009)
Banach Center Publications
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In this paper, a one-dimensional Euler-Lagrange equation associated with the total variation energy, and Euler-Lagrange equations generated by approximating total variations with linear growth, are considered. Each of the problems presented can be regarded as a governing equation for steady-states in solid-liquid phase transitions. On the basis of precise structural analysis for the solutions, the continuous dependence between the solution classes of approximating problems and that of...
Takaharu Yaguchi (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We propose a Lagrangian approach to deriving energy-preserving finite difference schemes for the Euler–Lagrange partial differential equations. Noether’s theorem states that the symmetry of time translation of Lagrangians yields the energy conservation law. We introduce a unique viewpoint on this theorem: “the symmetry of time translation of Lagrangians derives the Euler–Lagrange equation and the energy conservation law, simultaneously.” The proposed method is a combination of a discrete...
Albu, I. D., Opriş, D. (1999)
Novi Sad Journal of Mathematics
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Ji-Cai Liu (2017)
Czechoslovak Mathematical Journal
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Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.
Sz. Tengely (2008)
Acta Arithmetica
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Gerhard Ströhmer (1984)
Mathematische Zeitschrift
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Brajerčik, J. (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Demeter Krupka (1984)
Banach Center Publications
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Krupková, O., Volný, P. (2006)
Lobachevskii Journal of Mathematics
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Miloš Čanak (1994)
Matematički Vesnik
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