A338023 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.

29, 113, 163, 197, 239, 277, 311, 337, 349, 373, 397, 421, 463, 491, 547, 607, 659, 683, 701, 709, 751, 827, 853, 883

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..24.

D. Davis, Computing the Number of Totally Positive Circular Units Which Are Squares, J. Number Theory, 10 (1978), 1-9.

D. Davis, 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, Dissertation (Ph.D.), California Institute of Technology, 1969.

Crossrefs

Sequence in context: A232784 A232849 A233118 * A139946 A093359 A158556

Adjacent sequences: A338020 A338021 A338022 * A338024 A338025 A338026

Keyword

nonn,more

Author

Kim Reece, Oct 07 2020

Status

approved