- Autor
- TitelExplicit upper bound for the average number of divisors of irreducible quadratic polynomials
- Datei
- DOI10.1007/s00605-017-1061-y
- Persistent Identifier
- Erschienen inMonatshefte für Mathematik
- Band186
- Erscheinungsjahr2018
- Heft4
- Seiten663-673
- ISSN1436-5081
- Download Statistik1637
- Peer ReviewJa
- AbstractConsider the divisor sum \(\sum_{n \le N} \tau(n^2 + 2bn + c)\) 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 \(D(-1)\)-quadruples.
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