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

Kostadinka Lapkova

doi:10.1007/s00013-015-0862-2

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

Kostadinka Lapkova^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	247-256
Number of pages	10
Journal	Archiv der Mathematik
Volume	106
Issue number	3
DOIs	https://doi.org/10.1007/s00013-015-0862-2
Publication status	Published - 1 Mar 2016
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/s00013-015-0862-2

Cite this

@article{02c27d017dd34ef192db2c0194ebabc9,

title = "Explicit upper bound for an average number of divisors of quadratic polynomials",

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.",

keywords = "D(-1)-quadruples, Number of divisors, Quadratic polynomial",

author = "Kostadinka Lapkova",

year = "2016",

month = mar,

day = "1",

doi = "10.1007/s00013-015-0862-2",

language = "English",

volume = "106",

pages = "247--256",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Springer International Publishing AG ",

number = "3",

}

TY - JOUR

T1 - Explicit upper bound for an average number of divisors of quadratic polynomials

AU - Lapkova, Kostadinka

PY - 2016/3/1

Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - D(-1)-quadruples

KW - Number of divisors

KW - Quadratic polynomial

UR - http://www.scopus.com/inward/record.url?scp=84959122837&partnerID=8YFLogxK

U2 - 10.1007/s00013-015-0862-2

DO - 10.1007/s00013-015-0862-2

M3 - Article

AN - SCOPUS:84959122837

SN - 0003-889X

VL - 106

SP - 247

EP - 256

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 3

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this