Imaginary Quadratic Fields with Small Odd Class Number, by Steven Arno, M. L. Robinson, and Ferrell S. Wheeler
This paper has appeared in Acta Arith. 83 (1998), no. 4, 295-330 and so
the dvi version has been removed. In this paper we solve the class number m problem for the ten odd values of m
between 5 and 23. "Large" discriminants are ruled out using a result of
Oesterle. Methods of Stark and Montgomery-Weinberger are used to treat a
portion of the discriminants of "medium" size. In order to eliminate the
remaining, smaller discriminants of "medium" size, we introduce new methods
which partition the space of minima (of reduced quadratic forms of given
negative fundamental discriminant) in a tractable manner. "Small"
discriminants are treated by combining the new minima partitions with a
computationally intensive sieve.
Steven Arno <email@example.com>
M. L. Robinson <firstname.lastname@example.org>
Ferrell S. Wheeler <email@example.com>