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

Kostadinka Lapkova

doi:10.1007/s00605-018-1177-8

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

Kostadinka Lapkova^*

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	675–678
Number of pages	4
Journal	Monatshefte fur Mathematik
Volume	186
Issue number	4
DOIs	https://doi.org/10.1007/s00605-018-1177-8
Publication status	Published - 24 Mar 2018

Keywords

Character sums
Number of divisors
Quadratic polynomial

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00605-018-1177-8Licence: CC BY 4.0

Cite this

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KW - Number of divisors

KW - Quadratic polynomial

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

Abstract

Keywords

ASJC Scopus subject areas

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