Weighted Distribution of the 4-rank of Class Groups and Applications
É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.
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Author
Fouvry, Étienne;
Klüners, JürgenLibreCat
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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.
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Journal Title
International Mathematics Research Notices
Volume
2011
Issue
16
Page
3618-3656
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Fouvry É, Klüners J. Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices. 2011;2011(16):3618-3656. doi:10.1093/imrn/rnq223
Fouvry, É., & Klüners, J. (2011). Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices, 2011(16), 3618–3656. https://doi.org/10.1093/imrn/rnq223
@article{Fouvry_Klüners_2011, title={Weighted Distribution of the 4-rank of Class Groups and Applications}, volume={2011}, DOI={10.1093/imrn/rnq223}, number={16}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2011}, pages={3618–3656} }
Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” International Mathematics Research Notices 2011, no. 16 (2011): 3618–56. https://doi.org/10.1093/imrn/rnq223.
É. Fouvry and J. Klüners, “Weighted Distribution of the 4-rank of Class Groups and Applications,” International Mathematics Research Notices, vol. 2011, no. 16, pp. 3618–3656, 2011, doi: 10.1093/imrn/rnq223.
Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” International Mathematics Research Notices, vol. 2011, no. 16, Oxford University Press (OUP), 2011, pp. 3618–56, doi:10.1093/imrn/rnq223.
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