| Title: | Density of singular pairs of integers |
| Other Titles: | Hustota singulárních dvojic celých čísel |
| Authors: | Nedela, Roman Pomerance, Carl |
| Citation: | KUBÁTOVÁ, D., MELICHAR, M. Impact analysis of roughness evaluation methods. In: Proceedings of the 30th International DAAAM Symposium ''Intelligent Manufacturing & Automation''. Vídeň: DAAAM International Vienna, 2019. s. 0460-0466. ISBN 978-3-902734-22-8 , ISSN 1726-9679. |
| Issue Date: | 2018 |
| Publisher: | Colgate University Charles unviersity DIAMATA |
| Document type: | článek article |
| URI: | http://hdl.handle.net/11025/35964 |
| ISSN: | 1553-1732 |
| Keywords: | přirozená čísla, asymptotická hustota, součin cyklických grup |
| Keywords in different language: | integer, singular, product of cyclic groups |
| Abstract: | V práci odvodíme asymptotiku pre počet singulárních dvojic čísel. |
| Abstract in different language: | An ordered pair of integers (m,n) is called singular if g.c.d.(m,\phi(n))=1=g.c.d.(\phi(m),n), a concept which is relevant to pairwise products of cyclic groups. In this note we show that the number of singular pairs is asymptotic to z(x)^2, where z(x) is a function derived by P. Erdos (1947) giving the asymptotics for the number of singular integers. |
| Rights: | © Colgate University-Charles unviersity-DIAMATA |
| Appears in Collections: | Články / Articles (KMA) OBD |
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