Lapkova, Kostadinka (2016) Explicit upper bound for an average number of divisors of quadratic polynomials. Archiv der Mathematik, 106 (3). pp. 247-256. ISSN 0003-889X (print), 1420-8938 (online)
|
Text
expl_AM_r2.pdf Download (318kB) | Preview |
Official URL: http://dx.doi.org/10.1007/s00013-015-0862-2
Abstract
Consider the divisor sum (Formula presented.) for integers b and c which satisfy certain extra conditions. For this average sum, we obtain an explicit upper bound, which is close to the optimal. As an application we improve the maximal possible number of (Formula presented.) -quadruples. © 2016, Springer International Publishing.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Quadratic polynomial; number of divisors; D(-1)-quadruples |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 29 Mar 2016 12:35 |
| Last Modified: | 29 Mar 2016 12:35 |
| URI: | http://real.mtak.hu/id/eprint/34521 |
Actions (login required)
 |
Edit Item |
