研究者総覧
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テライ ノブヒロ
寺井 伸浩
所属
大分大学 理工学部 数理科学プログラム
職種
教授
論文
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On two generalized Ramanujan–Nagell equations Indian Journal of Pure and Applied Mathematics 56 (2),859-872頁 2023/12/20
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A note on the solution to the generalized Ramanujan–Nagell equation $$\pmb {x^2+(4c)^y=(c+1)^z}$$ Indian Journal of Pure and Applied Mathematics 54 (4),1145-1157頁 2023/12
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A NOTE ON THE TERNARY PURELY EXPONENTIAL DIOPHANTINE EQUATION f^x+(f+g)^y=g^z Tsukuba Journal of Mathematics 47 (1),113-123頁 2023/07
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A note on the number of solutions of ternary purely exponential Diophantine equations Bulletin of the Australian Mathematical Society 107 (1),53-65頁 2023/02
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Some exponential Diophantine equations attached to Pythagorean triples Bull. Math. Soc. Sci. Math. Roumanie 65 (3),359-365頁 2022/09
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On exponential Diophantine equations concerning Pythagorean triples Publicationes Mathematicae Debrecen 101 (1-2),147-168頁 2022/08
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On the generalized Ramanujan-Nagell equation x^2+b^m=c^n with a^2+b^r=c^2 SUT Journal of Mathematics 58 (1),77-89頁 2022/06
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A purely exponential Diophantine equation in three unknowns Periodica Mathematica Hungarica 84 (2),287-298頁 2022/05
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On the Diophantine equation x^2 + b^m = c^n with a^2 + b^4 = c^2 Indian Journal of Pure and Applied Mathematics 53 (1),162-169頁 2022/03
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On the generalized Ramanujan-Nagell equation x^2 + (4c)^m = (c + 1)^n International Mathematical Forum 17 (1),1-10頁 2022/01
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On the exponential Diophantine equation (4m^2 + 1)^x + (45m^2 - 1)^y = (7m)^z International Journal of Algebra 15 (4),233-241頁 2021/10
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On the exponential Diophantine equation (3m^2+1)^x+(qm^2-1)^y=(rm)^z SUT J. Math 56 (2),147-158頁 2020/12
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On the exponential Diophantine equation (4m²+1)ˣ + (21m²-1)ʸ = (5m)ᶻ Annales Mathematicae et Informaticae 50,243-253頁 2020/12
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On The Generalized Ramanujan–Nagell Equation $$x^2+(2c-1)^m=c^n$$ Acta Mathematica Hungarica 162 (2),518-526頁 2020/10
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A study on the exponential Diophantine equation $a^x+(a+b)^y=b^z$ Publicationes Mathematicae Debrecen 95 (1-2),19-37頁 2019/07/01
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On the exponential Diophantine equation $$(3pm^2-1)^x+(p(p-3)m^2+1)^y=(pm)^z$$ ( 3 p m 2 - 1 ) x + ( p ( p - 3 ) m 2 + 1 ) y = ( p m ) z Periodica Mathematica Hungarica 74 (2),227-234頁 2017/06
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On the exponential Diophantine equation a^x+lb^y=c^z International Journal of Algebra 10,393-403頁 2016
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On Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. II Acta Mathematica Hungarica 147 (2),286-293頁 2015/12
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On the exponential Diophantine equation (12m^2+1)^x+(13m^2-1)^y=(5m)^z International Journal of Algebra 9,261-272頁 2015/07
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ON EXPONENTIAL DIOPHANTINE EQUATIONS CONTAINING THE EULER QUOTIENT Bulletin of the Australian Mathematical Society 91 (1),11-18頁 2015/02
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A NOTE ON THE DIOPHANTINE EQUATION x^2 + q^m = c^n Bulletin of the Australian Mathematical Society 90 (1),20-27頁 2014/08
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On Jeśmanowicz' conjecture concerning primitive Pythagorean triples Journal of Number Theory 141,316-323頁 2014/08
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ON THE EXPONENTIAL DIOPHANTINE EQUATION (m^2 + 1)^x + (cm^2 − 1)^y = (am)^z Bulletin of the Australian Mathematical Society 90 (1),9-19頁 2014/08
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On the Exponential Diophantine Equation a^2x + a^xb^y + b^2y = c^z Int. Math. Forum 8,957-965頁 2013/04
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Generators and integer points on the elliptic curve y2=x3-nx Acta Arithmetica 160 (4),333-348頁 2013
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On the Exponential Diophantine Equation (4m^2 + 1)^x + (5m^2 − 1)^y = (3m)^z International Journal of Algebra 6,1135-1146頁 2012/07
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On the rank of the elliptic curve y^2=x^3-nx International Journal of Algebra 6,885-901頁 2012/04
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Generators for the elliptic curve y^2 = x^3 - nx J. Theorie des Nombres de Bordeaux 23,379-392頁 2011
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Integer points and independent points on the elliptic curve y^2 = x^3 - p^kx Tokyo J. of Math. 34,367-381頁 2011
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