{"title":"Averages of arithmetic functions over principal ideals","doi":"10.1142/S1793042119500283","author":[{"first_name":"Timothy D","full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Sofos","first_name":"Efthymios","full_name":"Sofos, Efthymios"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1706.04331"}],"_id":"176","oa_version":"Preprint","abstract":[{"lang":"eng","text":"For a general class of non-negative functions defined on integral ideals of number fields, upper bounds are established for their average over the values of certain principal ideals that are associated to irreducible binary forms with integer coefficients."}],"issue":"3","publication":"International Journal of Nuber Theory","publication_status":"published","type":"journal_article","extern":"1","volume":15,"date_updated":"2021-01-12T06:53:01Z","language":[{"iso":"eng"}],"intvolume":"        15","day":"16","external_id":{"arxiv":["1706.04331"]},"page":"547-567","status":"public","article_type":"original","publisher":"World Scientific Publishing","year":"2018","oa":1,"user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","date_published":"2018-11-16T00:00:00Z","article_processing_charge":"No","date_created":"2018-12-11T11:45:01Z","month":"11","citation":{"apa":"Browning, T. D., &#38; Sofos, E. (2018). Averages of arithmetic functions over principal ideals. <i>International Journal of Nuber Theory</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S1793042119500283\">https://doi.org/10.1142/S1793042119500283</a>","chicago":"Browning, Timothy D, and Efthymios Sofos. “Averages of Arithmetic Functions over Principal Ideals.” <i>International Journal of Nuber Theory</i>. World Scientific Publishing, 2018. <a href=\"https://doi.org/10.1142/S1793042119500283\">https://doi.org/10.1142/S1793042119500283</a>.","ista":"Browning TD, Sofos E. 2018. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. 15(3), 547–567.","ieee":"T. D. Browning and E. Sofos, “Averages of arithmetic functions over principal ideals,” <i>International Journal of Nuber Theory</i>, vol. 15, no. 3. World Scientific Publishing, pp. 547–567, 2018.","short":"T.D. Browning, E. Sofos, International Journal of Nuber Theory 15 (2018) 547–567.","mla":"Browning, Timothy D., and Efthymios Sofos. “Averages of Arithmetic Functions over Principal Ideals.” <i>International Journal of Nuber Theory</i>, vol. 15, no. 3, World Scientific Publishing, 2018, pp. 547–67, doi:<a href=\"https://doi.org/10.1142/S1793042119500283\">10.1142/S1793042119500283</a>.","ama":"Browning TD, Sofos E. Averages of arithmetic functions over principal ideals. <i>International Journal of Nuber Theory</i>. 2018;15(3):547-567. doi:<a href=\"https://doi.org/10.1142/S1793042119500283\">10.1142/S1793042119500283</a>"}}