Lapkova, Kostadinka (2017) Explicit upper bound for the average number of divisors of irreducible quadratic polynomials. Monatshefte für Mathematik. pp. 1-11. ISSN 0026-9255
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Official URL: https://doi.org/10.1007/s00605-017-1061-y
Abstract
Consider the divisor sum (Formula presented.) for integers b and c. We extract an asymptotic formula for the average divisor sum in a convenient form, and provide an explicit upper bound for this sum with the correct main term. As an application we give an improvement of the maximal possible number of (Formula presented.)-quadruples. © 2017 The Author(s)
| Item Type: | Article |
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| Uncontrolled Keywords: | Quadratic polynomial; number of divisors; Dirichlet convolution |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 21 Dec 2017 15:08 |
| Last Modified: | 21 Dec 2017 15:08 |
| URI: | http://real.mtak.hu/id/eprint/71569 |
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