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A038501
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Upper bound on minimal norm of a quadratic form where n runs over the odd primes.
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0
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1, 1, 2, 13, 34, 311, 1027, 13097, 830791, 3571637, 343729027, 8317846498, 42507358018, 1190957966624, 207446783316571, 42972383599819106, 263399640264083317, 66893661053152500843, 2896125979752486313692, 19472790611741252075400, 6423885211527441058125587
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OFFSET
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1,3
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REFERENCES
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Harris Hancock, Development of the Minkowski Geometry of Numbers, Vol. I. p. 322, Dover NY 1964.
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LINKS
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FORMULA
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a(p) = floor(f((p-1)/2, p^((p-3)/2)) where p is an odd prime and f(n,d) = sqrt(d) * 2^n * Gamma(1+n/2) / (Gamma(1/2)^n * n ^(n/2)). - Sean A. Irvine, Jan 16 2021
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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