Correction to "Explicit upper bound for the average number of divisors of irreducible quadratic polynomials"

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Consider the divisor sum (Formula presented.) for integers b and c. We improve the explicit upper bound of this average divisor sum in certain cases, and as an application, we give an improvement in the maximal possible number of (Formula presented.)-quadruples. The new tool is a numerically explicit Pólya–Vinogradov inequality, which has not been formulated explicitly before but is essentially due to Frolenkov–Soundararajan.

Original languageEnglish
Pages (from-to) 675–678
Number of pages4
JournalMonatshefte fur Mathematik
Volume186
Issue number4
Publication statusPublished - 24 Mar 2018

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Number of divisors
Irreducible polynomial
Quadratic Polynomial
Divisor
Upper bound
Sum formula
Quadruple
Integer

Keywords

  • Character sums
  • Number of divisors
  • Quadratic polynomial

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Correction to "Explicit upper bound for the average number of divisors of irreducible quadratic polynomials". / Lapkova, Kostadinka.

In: Monatshefte fur Mathematik, Vol. 186, No. 4, 24.03.2018, p. 675–678.

Research output: Contribution to journalArticleResearchpeer-review

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