Browning, T.D. and Sofos, E. (2019) Averages of arithmetic functions over principal ideals. International Journal of Number Theory, 15(3), pp. 547-567. (doi: 10.1142/s1793042119500283)
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198865.pdf - Accepted Version 374kB |
Abstract
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Sofos, Dr Efthymios |
| Authors: | Browning, T.D., and Sofos, E. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | International Journal of Number Theory |
| Publisher: | World Scientific Publishing |
| ISSN: | 1793-0421 |
| ISSN (Online): | 1793-7310 |
| Published Online: | 16 November 2018 |
| Copyright Holders: | Copyright © 2019 World Scientific Publishing |
| First Published: | First published in International Journal of Number Theory 15(3): 547-567 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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