UGC Approved Journal no 63975(19)

ISSN: 2349-5162 | ESTD Year : 2014
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Published in:

Volume 9 Issue 9
September-2022
eISSN: 2349-5162

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Published Paper ID:
JETIR2209541


Registration ID:
503095

Page Number

f154-f157

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Title

SOLUTION OF NON-LINEAR EXPONENTIAL DIOPHANTINE EQUATION (x^a +1)^m +(y^b +1)^n = z^2

Abstract

In this paper, authors discussed the solution of non-linear exponential Diophantine equation (x^a+1)^m +(y^b+1)^n=z^2, where x is a prime divisor of y such that either x≡3 or 5(mod 8) and a,b,m,n,y,z ∈W, here W is the set of whole numbers. Authors 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^a +1)^m +(y^b +1)^n = z^2", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.9, Issue 9, page no.f154-f157, September 2022, Available :http://www.jetir.org/papers/JETIR2209541.pdf

ISSN


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^a +1)^m +(y^b +1)^n = 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. ppf154-f157, September 2022, Available at : http://www.jetir.org/papers/JETIR2209541.pdf

Publication Details

Published Paper ID: JETIR2209541
Registration ID: 503095
Published In: Volume 9 | Issue 9 | Year September-2022
DOI (Digital Object Identifier):
Page No: f154-f157
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=JETIR2209541
Published Paper PDF: https://www.jetir.org/papers/JETIR2209541

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