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Author

Takafumi Miyazaki

Observed names: Miyazaki, Takafumi, T. MIYAZAKI, T. Miyazaki, TAKAFUMI MIYAZAKI, Takafumi MIYAZAKI
Institution: Gunma University
ORCID: 0000-0003-3287-0417
Observed ORCID: 0000-0003-3287-0417
OpenAlex ID: A5083525204
Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples II
2014 · Takafumi Miyazaki, Pingzhi Yuan, et al. · Journal of Number Theory · 35
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Generalizations of classical results on Jeśmanowiczʼ conjecture concerning Pythagorean triples
2012 · Takafumi Miyazaki · Journal of Number Theory · 34
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On the Exponential Diophantine Equation
2014 · TAKAFUMI MIYAZAKI, NOBUHIRO TERAI · Bulletin of the Australian Mathematical Society · 27
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On the number of extensions of a Diophantine triple
2017 · Mihai Cipu, Yasutsugu Fujita, et al. · International Journal of Number Theory · 22
Terai's Conjecture on Exponential Diophantine Equations
2011 · TAKAFUMI MIYAZAKI · International Journal of Number Theory · 21
On the Conjecture of Jeśmanowicz Concerning Pythagorean Triples
2009 · TAKAFUMI MIYAZAKI · Bulletin of the Australian Mathematical Society · 18
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The regularity of Diophantine quadruples
2016 · Yasutsugu Fujita, Takafumi Miyazaki · Transactions of the American Mathematical Society · 17
On Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. II
2015 · T. Miyazaki, N. Terai · Acta Mathematica Academiae Scientiarum Hungaricae · 14
THE DIOPHANTINE EQUATION (2am - 1)x + (2m)y = (2am + 1)z
2012 · T. MIYAZAKI, A. TOGBÉ · International Journal of Number Theory · 14
Jeśmanowicz' conjecture on exponential diophantine equations
2011 · Takafumi Miyazaki · Functiones et Approximatio Commentarii Mathematici · 14
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Exceptional cases of Terai’s conjecture on Diophantine equations
2010 · Takafumi Miyazaki · Archiv der Mathematik · 14
On the Diophantine equation (( c + 1) m 2 + 1) x + ( cm 2
2018 · Elif KIZILDERE, Takafumi MIYAZAKI, et al. · TURKISH JOURNAL OF MATHEMATICS · 11
Upper bounds for solutions of an exponential Diophantine equation
2015 · Takafumi Miyazaki · Rocky Mountain Journal of Mathematics · 10
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A remark on Jeśmanowicz’ conjecture for the non-coprimality case
2015 · Takafumi Miyazaki · Acta Mathematica Sinica English Series · 9
Generalizations of classical results on Jesmanowicz’ conjecture concerning Pythagorean triples
2010 · Takafumi Miyazaki, Takao Komatsu · AIP conference proceedings · 8
Contributions to some conjectures on a ternary exponential Diophantine equation
2018 · Takafumi Miyazaki · Acta Arithmetica · 7
Jeśmanowicz' conjecture with congruence relations
2012 · Yasutsugu Fujita, Takafumi Miyazaki · Colloquium Mathematicum · 7
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On the exponential Diophantine equation \((m^2+1)^x+(cm^2-1)^y=(am)^z \)
2014 · Takafumi Miyazaki, Nobuhiro Terai · Bulletin of the Australian Mathematical Society · 6
Number of solutions to a special type of unit equations in two unknowns, II
2024 · Takafumi Miyazaki, István Pink · Research in Number Theory · 5
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Number of solutions to a special type of unit equations in two unknowns
2024 · Takafumi Miyazaki, István Pink · American Journal of Mathematics · 4
A purely exponential Diophantine equation in three unknowns
2021 · Takafumi Miyazaki, Masaki Sudo, et al. · Periodica Mathematica Hungarica · 4
A study on the exponential Diophantine equation $a^x+(a+b)^y=b^z$
2019 · Takafumi Miyazaki, Nobuhiro Terai · Publicationes Mathematicae Debrecen · 3
On the equation 1 + 2 + ⋯ +x=y for fixed x
2016 · A. Bérczes, L. Hajdu, et al. · Journal of Number Theory · 3
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Jeśmanowicz’ Conjecture with Congruence Relations. II
2014 · Yasutsugu Fujita, Takafumi Miyazaki · Canadian Mathematical Bulletin · 3
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A note on the article by F. Luca ``On the system of Diophantine equations a2+b2=(m2+1)rand ax+by=(m2+1)z'' (Acta Arith. 153 (2012), 373–392)
2014 · Takafumi Miyazaki · Acta Arithmetica · 3
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Works count: 47
Citation count: 327
H-index: 11
I10-index: 13
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