{"publication_status":"published","volume":2011,"page":"3618-3656","author":[{"full_name":"Fouvry, Étienne","last_name":"Fouvry","first_name":"Étienne"},{"first_name":"Jürgen","last_name":"Klüners","id":"21202","full_name":"Klüners, Jürgen"}],"status":"public","title":"Weighted Distribution of the 4-rank of Class Groups and Applications","user_id":"93826","publisher":"Oxford University Press (OUP)","keyword":["General Mathematics"],"doi":"10.1093/imrn/rnq223","department":[{"_id":"102"}],"issue":"16","intvolume":"      2011","date_updated":"2023-03-06T09:07:46Z","type":"journal_article","_id":"34885","year":"2011","citation":{"short":"É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.","ieee":"É. Fouvry and J. Klüners, “Weighted Distribution of the 4-rank of Class Groups and Applications,” <i>International Mathematics Research Notices</i>, vol. 2011, no. 16, pp. 3618–3656, 2011, doi: <a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” <i>International Mathematics Research Notices</i> 2011, no. 16 (2011): 3618–56. <a href=\"https://doi.org/10.1093/imrn/rnq223\">https://doi.org/10.1093/imrn/rnq223</a>.","mla":"Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” <i>International Mathematics Research Notices</i>, vol. 2011, no. 16, Oxford University Press (OUP), 2011, pp. 3618–56, doi:<a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>.","apa":"Fouvry, É., &#38; Klüners, J. (2011). Weighted Distribution of the 4-rank of Class Groups and Applications. <i>International Mathematics Research Notices</i>, <i>2011</i>(16), 3618–3656. <a href=\"https://doi.org/10.1093/imrn/rnq223\">https://doi.org/10.1093/imrn/rnq223</a>","ama":"Fouvry É, Klüners J. Weighted Distribution of the 4-rank of Class Groups and Applications. <i>International Mathematics Research Notices</i>. 2011;2011(16):3618-3656. doi:<a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>","bibtex":"@article{Fouvry_Klüners_2011, title={Weighted Distribution of the 4-rank of Class Groups and Applications}, volume={2011}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>}, number={16}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2011}, pages={3618–3656} }"},"abstract":[{"lang":"eng","text":"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."}],"publication_identifier":{"issn":["1687-0247","1073-7928"]},"language":[{"iso":"eng"}],"date_created":"2022-12-23T09:08:00Z","publication":"International Mathematics Research Notices"}