Lapkova, Kostadinka (2016) On the k-free values of the polynomial xyk+C. Acta Mathematica Hungarica. pp. 1-18. ISSN 0236-5294 (print), 1588-2632 (online)
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Official URL: http://dx.doi.org/10.1007/s10474-016-0594-1
Abstract
Consider the polynomial (Formula presented.) for (Formula presented.) and any nonzero integer constant C. We derive an asymptotic formula for the k-free values of (Formula presented.) when (Formula presented.). We also prove a similar result for the k-free values of (Formula presented.) when (Formula presented.) are primes, thus extending Erdős’ conjecture for our specific polynomial. The strongest tool we use is a recent generalization of the determinant method due to Reuss. © 2016 Akadémiai Kiadó, Budapest, Hungary
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 29 Mar 2016 11:33 |
| Last Modified: | 29 Mar 2016 11:33 |
| URI: | http://real.mtak.hu/id/eprint/34520 |
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