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On a conjecture of Siegel

โœ Scribed by Enrico Bombieri; Julia Mueller


Book ID
105150598
Publisher
Springer Vienna
Year
1998
Tongue
English
Weight
726 KB
Volume
125
Category
Article
ISSN
0026-9255

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A Proof of a Conjecture of C.L. Siegel
โœ J.T. Ding ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

Let \(M_{n}\) be the Minkowski fundamental domain for the space of \(n \times n\) real, symmetric, and positive definite matrices under the action of the unimodular group \(S L_{n}(Z)\). C. L. Siegel conjectured that \(d(A, B)-f(A, B) \leqslant C(n)\), for \(A, B \in M_{n}\), where \(d\) and \(f\) a