The solvability of the diophantine equation
Maohua Le (1995)
Colloquium Mathematicae
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Maohua Le (1995)
Colloquium Mathematicae
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Kazuomi Sawatani, Takao Watanabe, Kenji Okuda (2010)
Journal de Théorie des Nombres de Bordeaux
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We generalize Poor and Yuen’s inequality to the Hermite–Rankin constant and the Bergé–Martinet constant . Moreover, we determine explicit values of some low- dimensional Hermite–Rankin and Bergé–Martinet constants by applying Rankin’s inequality and some inequalities proven by Bergé and Martinet to explicit values of , and ().
Milutin R. Dostanić (2010)
Publications de l'Institut Mathématique
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Surulescu, N. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Yarmukhamedov, Sharof (2002)
Sibirskij Matematicheskij Zhurnal
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Krupka, Demeter (2002)
Beiträge zur Algebra und Geometrie
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Carlsson, M. (2011)
The New York Journal of Mathematics [electronic only]
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Kenji Okuda, Syouji Yano (2010)
Journal de Théorie des Nombres de Bordeaux
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Let be an algebraic number field and the ring of integers of . In this paper, we prove an analogue of Voronoï’s theorem for -lattices and the finiteness of the number of similar isometry classes of perfect -lattices.