{"year":"2023","abstract":[{"lang":"eng","text":"Let P be a nontorsion point on an elliptic curve defined over a number field K and consider the sequence {Bn}n∈N of the denominators of x(nP). We prove that every term of the sequence of the Bn has a primitive divisor for n greater than an effectively computable constant that we will explicitly compute. This constant will depend only on the model defining the curve."}],"oa":1,"isi":1,"page":"331-351","author":[{"orcid":"0000-0002-0854-0306","last_name":"Verzobio","first_name":"Matteo","id":"7aa8f170-131e-11ed-88e1-a9efd01027cb","full_name":"Verzobio, Matteo"}],"day":"03","language":[{"iso":"eng"}],"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","short":"CC BY (4.0)","image":"/images/cc_by.png"},"has_accepted_license":"1","publication_identifier":{"eissn":["0030-8730"]},"ddc":["510"],"citation":{"short":"M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351.","apa":"Verzobio, M. (2023). Some effectivity results for primitive divisors of elliptic divisibility  sequences. <i>Pacific Journal of Mathematics</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/pjm.2023.325.331\">https://doi.org/10.2140/pjm.2023.325.331</a>","chicago":"Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic Divisibility  Sequences.” <i>Pacific Journal of Mathematics</i>. Mathematical Sciences Publishers, 2023. <a href=\"https://doi.org/10.2140/pjm.2023.325.331\">https://doi.org/10.2140/pjm.2023.325.331</a>.","ama":"Verzobio M. Some effectivity results for primitive divisors of elliptic divisibility  sequences. <i>Pacific Journal of Mathematics</i>. 2023;325(2):331-351. doi:<a href=\"https://doi.org/10.2140/pjm.2023.325.331\">10.2140/pjm.2023.325.331</a>","ieee":"M. Verzobio, “Some effectivity results for primitive divisors of elliptic divisibility  sequences,” <i>Pacific Journal of Mathematics</i>, vol. 325, no. 2. Mathematical Sciences Publishers, pp. 331–351, 2023.","ista":"Verzobio M. 2023. Some effectivity results for primitive divisors of elliptic divisibility  sequences. Pacific Journal of Mathematics. 325(2), 331–351.","mla":"Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic Divisibility  Sequences.” <i>Pacific Journal of Mathematics</i>, vol. 325, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–51, doi:<a href=\"https://doi.org/10.2140/pjm.2023.325.331\">10.2140/pjm.2023.325.331</a>."},"intvolume":"       325","title":"Some effectivity results for primitive divisors of elliptic divisibility  sequences","article_processing_charge":"Yes (in subscription journal)","scopus_import":"1","volume":325,"date_published":"2023-11-03T00:00:00Z","quality_controlled":"1","external_id":{"isi":["001104766900001"],"arxiv":["2001.02987"]},"publisher":"Mathematical Sciences Publishers","publication_status":"published","date_created":"2023-01-16T11:46:19Z","month":"11","issue":"2","publication":"Pacific Journal of Mathematics","date_updated":"2023-12-13T11:18:14Z","type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020","grant_number":"101034413"}],"doi":"10.2140/pjm.2023.325.331","oa_version":"Published Version","department":[{"_id":"TiBr"}],"ec_funded":1,"acknowledgement":"This paper is part of the author’s PhD thesis at Università of Pisa. Moreover, this\r\nproject has received funding from the European Union’s Horizon 2020 research\r\nand innovation programme under the Marie Skłodowska-Curie Grant Agreement\r\nNo. 101034413. I thank the referee for many helpful comments.","file_date_updated":"2023-11-13T09:50:41Z","file":[{"file_size":389897,"access_level":"open_access","creator":"dernst","date_updated":"2023-11-13T09:50:41Z","success":1,"date_created":"2023-11-13T09:50:41Z","checksum":"b6218d16a72742d8bb38d6fc3c9bb8c6","file_name":"2023_PacificJourMaths_Verzobio.pdf","file_id":"14525","relation":"main_file","content_type":"application/pdf"}],"_id":"12313","article_type":"original","status":"public"}