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Primes q for which in the q-cyclotomic field the 2-dimension of the group of circular units over the group of totally positive circular units is not maximal.
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%I #6 Nov 01 2020 00:16:48

%S 29,113,163,197,239,277,311,337,349,373,397,421,463,491,547,607,659,

%T 683,701,709,751,827,853,883

%N Primes q for which in the q-cyclotomic field the 2-dimension of the group of circular units over the group of totally positive circular units is not maximal.

%C Equivalently those primes q for which not every totally positive circular unit of the q-cyclotomic field is the square of a circular unit.

%H D. Davis, <a href="https://doi.org/10.1016/0022-314X(78)90002-1">Computing the Number of Totally Positive Circular Units Which Are Squares</a>, J. Number Theory, 10 (1978), 1-9.

%H D. Davis, <a href="https://thesis.library.caltech.edu/9554/">On the distribution of the signs of the conjugates of the cyclotomic units in the maximal real subfield of the qth cyclotomic field, q a prime</a>, Dissertation (Ph.D.), California Institute of Technology, 1969.

%K nonn,more

%O 1,1

%A _Kim Reece_, Oct 07 2020