Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Oliver Couto"'
Autor:
Oliver Couto, Ajai Choudhry
Publikováno v:
Acta Arithmetica. 202:43-53
In this paper we obtain a parametric solution of the hitherto unsolved diophantine equation $(x_1^5+x_2^5)(x_3^5+x_4^5)=(y_1^5+y_2^5)(y_3^5+y_4^5)$. Further, we show, using elliptic curves, that there exist infinitely many parametric solutions of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b8128c21f55cf5dfe8297d0cbe3eaec
https://doi.org/10.4064/aa210419-4-7
https://doi.org/10.4064/aa210419-4-7
Autor:
Seiji Tomita, Oliver Couto
Publikováno v:
Universal Journal of Applied Mathematics. 8:13-29
Consider the below mentioned Equation: ax4+by4+cz4+dw4=0---[1]. In section (1) we consider solution's with the condition on the coefficient's of equation[1]. Namely the product (abcd)=square. In section [2] we consider the coefficients of Equation [1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ab4c983d76459902e1c3a545b54d453
https://doi.org/10.13189/ujam.2020.080201
https://doi.org/10.13189/ujam.2020.080201
Autor:
Seiji Tomita, Oliver Couto
Publikováno v:
Universal Journal of Applied Mathematics. 5:6-10
Historically equation ( pan+qbn+rcn=pun+qvn+rwn ) has been studied for degree 2, 3, 4 etc., and equation (pan+qbn=pcn+qdn ) herein called equation (1) has been published for n=4 ,p=1,q=4 (Ref.no. 1) by Ajai Choudhry. Also Tito Piezas & others has dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2994972c7992926c2f348d783d43b3fb
https://doi.org/10.13189/ujam.2017.050102
https://doi.org/10.13189/ujam.2017.050102
Autor:
Seiji Tomita, Oliver Couto
Publikováno v:
Universal Journal of Applied Mathematics. 4:55-65
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75b0cfe270b572e06620d049dc5dd296
https://doi.org/10.13189/ujam.2016.040303
https://doi.org/10.13189/ujam.2016.040303
Autor:
Seiji Tomita, Oliver Couto
Publikováno v:
Universal Journal of Applied Mathematics. 4:33-38
Different authors have done analysis regarding sums of powers (Ref. no. 1,2 & 3), but systematic approach for solving Diophantine equations having sums of many bi-quadratics equal to a quartic has not been done before. In this paper we give methods f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cd2b354ab7b6ece7d8e47eb164732be
https://doi.org/10.13189/ujam.2016.040201
https://doi.org/10.13189/ujam.2016.040201
Autor:
Seiji Tomita, Oliver Couto
Publikováno v:
Universal Journal of Applied Mathematics. 4:22-31
Consider the below mentioned equation: x4+y4+z4=w∗tn----(A). Historically Leonard Euler has given parametric solution for equation (A) when w=1 (Ref. no. 9) and degree ‘n'=2. Also S. Realis has given parametric solution for equation (A) when ‘w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::647b0e90e76078a5486fe1b0b856893b
https://doi.org/10.13189/ujam.2016.040103
https://doi.org/10.13189/ujam.2016.040103
Autor:
Seiji Tomita, Oliver Couto
Publikováno v:
Universal Journal of Applied Mathematics. 3:102-111
The work on equation (B) below has been studied by others for different degree ‘n' and equation (A) below for degree five, has been previously published by Mr. Ajai Choudhry (Ref. no. 1). But combined systematic analysis for degrees 2,3,4,5,6,7,8 &
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97bf1001ae00b9f125f1633fe903e0fd
https://doi.org/10.13189/ujam.2015.030503
https://doi.org/10.13189/ujam.2015.030503
Autor:
Oliver Couto
Publikováno v:
International Mathematical Forum. 9:561-577
( ) ( ) For k=2,3,4 the above equation has three terms in each of the four chains. For k=5 , the right hand side of the equation has six terms in each of the four chains.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87ce020eeda60cc1928a6b850421d250
https://doi.org/10.12988/imf.2014.419
https://doi.org/10.12988/imf.2014.419