A problem of Ramanujan, Erdõs and Kátai on the iterated divisor function
(2012) INTERNATIONAL MATHEMATICS RESEARCH NOTICES. p.4051-4061- abstract
- We determine asymptotically the maximal order of log d(d(n)), where d(n) is the number of positive divisors of n. This solves a problem first put forth by Ramanujan in 1915.
Please use this url to cite or link to this publication:
http://hdl.handle.net/1854/LU-1989726
- author
- Yvonne Buttkewitz, Christian Elsholtz, Kevin Ford and Jan-Christoph Schlage-Puchta UGent
- organization
- alternative title
- A problem of Ramanujan, Erdos and Katai on the iterated divisor function
- year
- 2012
- type
- journalArticle (original)
- publication status
- published
- subject
- keyword
- iterated divisor function, arithmetic functions, maximal order, Number of divisors
- journal title
- INTERNATIONAL MATHEMATICS RESEARCH NOTICES
- Int. Math. Res. Notices
- issue
- 17
- pages
- 4051 - 4061
- Web of Science type
- Article
- Web of Science id
- 000308015400005
- JCR category
- MATHEMATICS
- JCR impact factor
- 1.116 (2012)
- JCR rank
- 29/296 (2012)
- JCR quartile
- 1 (2012)
- ISSN
- 1073-7928
- DOI
- 10.1093/imrn/rnr175
- language
- English
- UGent publication?
- yes
- classification
- A1
- copyright statement
- I have transferred the copyright for this publication to the publisher
- id
- 1989726
- handle
- http://hdl.handle.net/1854/LU-1989726
- date created
- 2012-01-17 13:51:24
- date last changed
- 2016-12-19 15:42:53
@article{1989726,
abstract = {We determine asymptotically the maximal order of log d(d(n)), where d(n) is the number of positive divisors of n. This solves a problem first put forth by Ramanujan in 1915.},
author = {Buttkewitz, Yvonne and Elsholtz, Christian and Ford, Kevin and Schlage-Puchta, Jan-Christoph},
issn = {1073-7928},
journal = {INTERNATIONAL MATHEMATICS RESEARCH NOTICES},
keyword = {iterated divisor function,arithmetic functions,maximal order,Number of divisors},
language = {eng},
number = {17},
pages = {4051--4061},
title = {A problem of Ramanujan, Erd{\~o}s and K{\'a}tai on the iterated divisor function},
url = {http://dx.doi.org/10.1093/imrn/rnr175},
year = {2012},
}
- Chicago
- Buttkewitz, Yvonne, Christian Elsholtz, Kevin Ford, and Jan-Christoph Schlage-Puchta. 2012. “A Problem of Ramanujan, Erdõs and Kátai on the Iterated Divisor Function.” International Mathematics Research Notices (17): 4051–4061.
- APA
- Buttkewitz, Y., Elsholtz, C., Ford, K., & Schlage-Puchta, J.-C. (2012). A problem of Ramanujan, Erdõs and Kátai on the iterated divisor function. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, (17), 4051–4061.
- Vancouver
- 1.Buttkewitz Y, Elsholtz C, Ford K, Schlage-Puchta J-C. A problem of Ramanujan, Erdõs and Kátai on the iterated divisor function. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2012;(17):4051–61.
- MLA
- Buttkewitz, Yvonne, Christian Elsholtz, Kevin Ford, et al. “A Problem of Ramanujan, Erdõs and Kátai on the Iterated Divisor Function.” INTERNATIONAL MATHEMATICS RESEARCH NOTICES 17 (2012): 4051–4061. Print.