O minimu forem kvadratických
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Karel Petr (1911)
Časopis pro pěstování mathematiky a fysiky
Christine Bachoc, Gabriele Nebe, Boris Venkov (2002)
Acta Arithmetica
Michio Ozeki (2011)
Acta Arithmetica
Eskin, Alex, Margulis, Gregory, Mozes, Shahar (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Watanabe, Takao (2000)
Journal of Lie Theory
Asmus L. Schmidt (1975)
Mathematische Annalen
E. Bombieri, J. Vaaler (1983)
Inventiones mathematicae
Nowak, Werner Georg (2000)
Mathematica Pannonica
Bernhard Dietz (1985)
Acta Arithmetica
Henry W. Hansen (1978)
Mathematica Scandinavica
Mary E. Gbur (1976)
Monatshefte für Mathematik
Kevin J. McGown (2015)
Acta Arithmetica
We show that the S-Euclidean minimum of an ideal class is a rational number, generalizing a result of Cerri. In the proof, we actually obtain a slight refinement of this and give some corollaries which explain the relationship of our results with Lenstra's notion of a norm-Euclidean ideal class and the conjecture of Barnes and Swinnerton-Dyer on quadratic forms. In particular, we resolve a conjecture of Lenstra except when the S-units have rank one. The proof is self-contained but uses ideas from...
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