Explicit upper bound for an average number of divisors of quadratic polynomials

Kostadinka Lapkova*

*Corresponding author for this work

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)247-256
Number of pages10
JournalArchiv der Mathematik
Volume106
Issue number3
DOIs
Publication statusPublished - 1 Mar 2016
Externally publishedYes

Keywords

  • D(-1)-quadruples
  • Number of divisors
  • Quadratic polynomial

ASJC Scopus subject areas

  • Mathematics(all)

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