UGC Approved Journal no 63975(19)

ISSN: 2349-5162 | ESTD Year : 2014
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Volume 9 Issue 9
September-2022
eISSN: 2349-5162

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JETIR2209357


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502730

Page Number

d486-d489

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Title

SOLUTION OF NON-LINEAR EXPONENTIAL DIOPHANTINE EQUATION x^α +(1 +my)^β = z^2

Abstract

In this article, authors discussed the solution of non-linear Exponential Diophantine equation x^α+(1+my)^β=z^2, where x is a number of the form mr+1, m is an odd prime such that either m≡3 or 5(mod 8) and α,β,r,y,z ∈W, here W is the set of whole numbers. Results illustrate that this Diophantine equation has no solution in whole numbers.

Key Words

Exponential Diophantine equations; Quadratic residue; Legendre symbol

Cite This Article

"SOLUTION OF NON-LINEAR EXPONENTIAL DIOPHANTINE EQUATION x^α +(1 +my)^β = z^2", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.9, Issue 9, page no.d486-d489, September-2022, Available :http://www.jetir.org/papers/JETIR2209357.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"SOLUTION OF NON-LINEAR EXPONENTIAL DIOPHANTINE EQUATION x^α +(1 +my)^β = z^2", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.9, Issue 9, page no. ppd486-d489, September-2022, Available at : http://www.jetir.org/papers/JETIR2209357.pdf

Publication Details

Published Paper ID: JETIR2209357
Registration ID: 502730
Published In: Volume 9 | Issue 9 | Year September-2022
DOI (Digital Object Identifier):
Page No: d486-d489
Country: National P.G. College Barhalganj, Gorakhpur, U.P., India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR2209357
Published Paper PDF: https://www.jetir.org/papers/JETIR2209357

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