[{"has_accepted_license":"1","oa":1,"publication_status":"published","year":"2023","file_date_updated":"2024-10-07T11:32:32Z","volume":2023,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","supplementarymaterial":"no","publication":"Publications mathématiques de Besançon - Algèbre et Théorie des nombres","intvolume":"      2023","corr_author":"1","project":[{"grant_number":"EP-P026710-2","_id":"26A8D266-B435-11E9-9278-68D0E5697425","name":"Between rational and integral points"}],"department":[{"_id":"TiBr"}],"author":[{"last_name":"Guilloux","full_name":"Guilloux, Antonin","first_name":"Antonin"},{"full_name":"Horesh, Tal","last_name":"Horesh","first_name":"Tal","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425"}],"date_created":"2024-10-06T22:01:13Z","scopus_import":"1","article_processing_charge":"Yes (in subscription journal)","language":[{"iso":"eng"}],"_id":"18179","das_tickbox":"0","publisher":"Presses Universitaires de Franche-Comté","article_type":"original","tmp":{"short":"CC BY-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)"},"ddc":["510"],"date_updated":"2026-07-29T10:40:38Z","acknowledgement":"The second author is supported by EPRSC grant EP/P026710/1.","status":"public","quality_controlled":"1","title":"p-adic directions of primitive vectors","external_id":{"arxiv":["2103.10889"]},"page":"85-107","doi":"10.5802/pmb.50","type":"journal_article","citation":{"short":"A. Guilloux, T. Horesh, Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres 2023 (2023) 85–107.","ista":"Guilloux A, Horesh T. 2023. p-adic directions of primitive vectors. Publications mathématiques de Besançon - Algèbre et Théorie des nombres. 2023, 85–107.","ama":"Guilloux A, Horesh T. p-adic directions of primitive vectors. <i>Publications mathématiques de Besançon - Algèbre et Théorie des nombres</i>. 2023;2023:85-107. doi:<a href=\"https://doi.org/10.5802/pmb.50\">10.5802/pmb.50</a>","chicago":"Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.” <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>. Presses Universitaires de Franche-Comté, 2023. <a href=\"https://doi.org/10.5802/pmb.50\">https://doi.org/10.5802/pmb.50</a>.","apa":"Guilloux, A., &#38; Horesh, T. (2023). p-adic directions of primitive vectors. <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>. Presses Universitaires de Franche-Comté. <a href=\"https://doi.org/10.5802/pmb.50\">https://doi.org/10.5802/pmb.50</a>","ieee":"A. Guilloux and T. Horesh, “p-adic directions of primitive vectors,” <i>Publications mathématiques de Besançon - Algèbre et Théorie des nombres</i>, vol. 2023. Presses Universitaires de Franche-Comté, pp. 85–107, 2023.","mla":"Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.” <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>, vol. 2023, Presses Universitaires de Franche-Comté, 2023, pp. 85–107, doi:<a href=\"https://doi.org/10.5802/pmb.50\">10.5802/pmb.50</a>."},"publication_identifier":{"issn":["2804-8504"],"eissn":["2592-6616"]},"month":"06","file":[{"creator":"dernst","checksum":"cefc47a2cf55a87f8e4960197f73353b","relation":"main_file","access_level":"open_access","date_updated":"2024-10-07T11:32:32Z","success":1,"file_name":"2023_MathBesancon_Guilloux.pdf","date_created":"2024-10-07T11:32:32Z","file_size":1399390,"file_id":"18186","content_type":"application/pdf"}],"license":"https://creativecommons.org/licenses/by-nd/4.0/","researchdata_availability":"no","date_published":"2023-06-15T00:00:00Z","day":"15","abstract":[{"lang":"eng","text":"Linnik type problems concern the distribution of projections of integral points on the unit sphere as their norm increases, and different generalizations of this phenomenon. Our work addresses a question of this type: we prove the uniform distribution of the projections of primitive Z2 points in the p-adic unit sphere, as their (real) norm tends to infinity. The proof is via counting lattice points in semi-simple S-arithmetic groups."},{"lang":"fre","text":"Les problèmes de type Linnik concernent la distribution des projections des points entiers sur la sphère unitaire lorsque leur norme augmente et différentes généralisations de ce phénomène. Notre travail s’intéresse à une question de ce type : nous prouvons la distribution uniforme des projections des points primitifs de Z2 sur la sphère unitaire p-adique lorsque leur norme (réelle) tend vers l’infini. La preuve se fait en comptant les points d’un réseau dans des S-groupes arithmétiques semi-simples."}],"oa_version":"Published Version","arxiv":1}]