|
|||||
 |
|
|
|
|
|
|
|
|
|
On sums of distinct
powers of 3 and 4
Maximilian F. Hasler and Giuseppe Melfi |
|
Vol. 13 (2024), No. 2, 141–148
|
Abstract |
|
In 1996 Erdős conjectured that the set defined as the sums of distinct powers of 3 and distinct powers of 4 has positive asymptotic density. We investigate some structure properties of this set. We also prove some asymptotic estimates for its counting function . In particular we prove that , improving an old estimate of Melfi. |
PDF Access Denied
We have not been able to recognize your IP address
18.226.88.126
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
sum of powers, Erdős problems, additive problems
|
Mathematical Subject Classification
Primary: 11A67
Secondary: 11B37
|
Milestones
Received: 21 January 2024
Revised: 31 May 2024
Accepted: 17 June 2024
Published: 1 July 2024
|
Authors |
| Maximilian F. Hasler | |
| Université des Antilles UFR STE & MEMIAD Schoelcher Martinique |
|
| Giuseppe Melfi | |
| Institute of Management of
Information University of Neuchâtel Neuchâtel Switzerland |
University of Applied Sciences of
Western Switzerland, HEG-Arc Neuchâtel Switzerland |
| © 2024 MSP (Mathematical Sciences Publishers). |
