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Search: id:A072104
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| A072104 |
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Smallest absolute value of discriminant of a real (not necessarily totally real) algebraic number field of degree n. |
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+0
1
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OFFSET
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2,1
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COMMENT
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These values are important in Diophantine approximation theory and in the geometry of numbers. Krass (1985) proved that the n-dimensional simultaneous Diophantine approximation constant, gamma_n, must satisfy gamma_n >= (16/9)^floor(n/4) / sqrt(a_(n+1)). See web site for a continuation of probable values.
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 174-179.
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LINKS
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Gerhard Niklasch, Smallest Discriminants of Number Fields
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CROSSREFS
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Sequence in context: A107204 A116151 A116652 this_sequence A086797 A023275 A018899
Adjacent sequences: A072101 A072102 A072103 this_sequence A072105 A072106 A072107
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KEYWORD
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hard,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 18 2002
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