Values of the Dedekind Eta Function at Quadratic Irrationalities: Corrigendum
Printed: Apr 2001
Habib Muzaffar of Carleton University has pointed out to the authors
that in their paper [A] only the result
follows from the prime ideal theorem with remainder for ideal classes,
and not the stronger result
stated in Lemma~5.2. This necessitates changes in Sections~5 and 6 of
[A]. The main results of the paper are not affected by these changes.
It should also be noted that, starting on page 177 of [A], each and
every occurrence of $o(s-1)$ should be replaced by $o(1)$.
Sections~5 and 6 of [A] have been rewritten to incorporate the above
mentioned correction and are given below. They should replace the
original Sections~5 and 6 of [A].
Dedekind eta function, quadratic irrationalities, binary quadratic forms, form class group
11F20 - Dedekind eta function, Dedekind sums
11E45 - Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)