{"ddc":["510"],"publication_status":"epub_ahead","publication":"Advances in Mathematics","corr_author":"1","date_published":"2025-05-16T00:00:00Z","article_number":"110341","publication_identifier":{"eissn":["1090-2082"],"issn":["0001-8708"]},"title":"Asymptotic growth of translation-dilation orbits","publisher":"Elsevier","day":"16","citation":{"short":"V. Wang, Advances in Mathematics 475 (2025).","apa":"Wang, V. (2025). Asymptotic growth of translation-dilation orbits. <i>Advances in Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.aim.2025.110341\">https://doi.org/10.1016/j.aim.2025.110341</a>","mla":"Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” <i>Advances in Mathematics</i>, vol. 475, 110341, Elsevier, 2025, doi:<a href=\"https://doi.org/10.1016/j.aim.2025.110341\">10.1016/j.aim.2025.110341</a>.","ieee":"V. Wang, “Asymptotic growth of translation-dilation orbits,” <i>Advances in Mathematics</i>, vol. 475. Elsevier, 2025.","ista":"Wang V. 2025. Asymptotic growth of translation-dilation orbits. Advances in Mathematics. 475, 110341.","chicago":"Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” <i>Advances in Mathematics</i>. Elsevier, 2025. <a href=\"https://doi.org/10.1016/j.aim.2025.110341\">https://doi.org/10.1016/j.aim.2025.110341</a>.","ama":"Wang V. Asymptotic growth of translation-dilation orbits. <i>Advances in Mathematics</i>. 2025;475. doi:<a href=\"https://doi.org/10.1016/j.aim.2025.110341\">10.1016/j.aim.2025.110341</a>"},"scopus_import":"1","intvolume":"       475","external_id":{"arxiv":["2309.07626"]},"year":"2025","date_created":"2025-05-25T22:16:41Z","OA_type":"hybrid","article_processing_charge":"Yes (via OA deal)","doi":"10.1016/j.aim.2025.110341","month":"05","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","OA_place":"publisher","language":[{"iso":"eng"}],"arxiv":1,"volume":475,"status":"public","date_updated":"2025-05-28T07:48:37Z","acknowledgement":"I thank Yuri Tschinkel for introducing me to the beautiful paper [53] and associated open questions, and thank him as well as Ramin Takloo-Bighash and Sho Tanimoto for their encouragement and comments. Also, I thank Tim Browning and Dan Loughran for comments and suggestions concerning Manin–Peyre, homogeneous spaces, and splitness. Thanks also to Anshul Adve, Peter Sarnak, Philip Tosteson, Katy Woo, and Nina Zubrilina for some interesting discussions. I thank the Browning Group and Andy O'Desky for many conversations. This project has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 101034413. Finally, I thank the editors and referees for their detailed input, which substantially improved the paper.","abstract":[{"text":"By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture for sufficiently split smooth equivariant compactifications of the translation-dilation group over the rationals. Secondary terms remain elusive in general.","lang":"eng"}],"oa":1,"quality_controlled":"1","author":[{"full_name":"Wang, Victor","id":"76096395-aea4-11ed-a680-ab8ebbd3f1b9","orcid":"0000-0002-0704-7026","last_name":"Wang","first_name":"Victor"}],"has_accepted_license":"1","ec_funded":1,"type":"journal_article","oa_version":"Published Version","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_type":"original","department":[{"_id":"TiBr"}],"project":[{"call_identifier":"H2020","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.aim.2025.110341"}],"_id":"19727"}