login
Upper bound on minimal norm of a quadratic form where n runs over the odd primes.
0

%I #13 Jan 17 2021 02:17:44

%S 1,1,2,13,34,311,1027,13097,830791,3571637,343729027,8317846498,

%T 42507358018,1190957966624,207446783316571,42972383599819106,

%U 263399640264083317,66893661053152500843,2896125979752486313692,19472790611741252075400,6423885211527441058125587

%N Upper bound on minimal norm of a quadratic form where n runs over the odd primes.

%D Harris Hancock, Development of the Minkowski Geometry of Numbers, Vol. I. p. 322, Dover NY 1964.

%F 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

%K nonn

%O 1,3

%A _N. J. A. Sloane_, _Simon Plouffe_

%E More terms and title clarified by _Sean A. Irvine_, Jan 16 2021