Article detail · 2016

On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products

The American Mathematical Monthly

YÖKSİS OpenAlex ISSN 0002-9890 DOI 10.4169/amer.math.monthly.123.6.597 Citations 6 Open access · green SJR Q2 JCR Q4

10.4169/amer.math.monthly.123.6.597

YÖKSİS YÖKSİS article record

OpenAlex OpenAlex enrichment (abstract, citations, topics)

Abstract

OpenAlex record

English (OpenAlex)

We prove that the product of first n consecutive values of the polynomial P (k = 4k4 + 1 is a perfect square infinitely often whereas the product of first n consecutive values of the polynomial Q(k) = k4 + 4 is a perfect square only for n = 2.

Topics

Advanced Optimization Algorithms Research
Polynomial and algebraic computation
Mathematics and Applications

Type: article Advanced Optimization Algorithms Research

Index information

WoS (JCR) and Scopus (SJR) quartiles by ISSN and publication year. · 2016

Scopus (SJR) / WoS (JCR)

American Mathematical Monthly

Scopus (SJR) Q2 0,46 Year 2016

WoS (JCR) Q4 JIF 0,3 Year 2016

Journal page

Universities

ORTA DOĞU TEKNİK ÜNİVERSİTESİ

Authors

ERHAN GÜREL ORTA DOĞU TEKNİK ÜNİVERSİTESİ