TITLE

# Weighted Distribution of the 4-rank of Class Groups and Applications

AUTHOR(S)
Fouvry, Étienne; Klüners, Jürgen
PUB. DATE
August 2011
SOURCE
IMRN: International Mathematics Research Notices;Aug2011, Vol. 2011 Issue 16, p3618
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We prove that the distribution of the values of the 4-rank of ideal class groups of quadratic fields is not affected when it is weighted by a divisor type function. We then give several applications concerning a new lower bound of the sums of class numbers of real quadratic fields with discriminant less than a bound tending to infinity and several questions of P. Sarnak concerning reciprocal geodesics.
ACCESSION #
64112922

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