Number of solutions to a special type of Pillai's equation, Takafumi Miyazaki, Jun. 2024, 2285, 200, 208
Number of solutions to some purely exponential Diophantine equation in three unknowns, Takafumi Miyazaki, Jun. 2022, 2222, 212, 218
On Terai's exponential equation with two finite integer parameters, 宮崎 隆史, Nov. 2018, 2092, 50, 59, Introduction scientific journal
Extendabilities of a Diophantine triple to quadruples, Yasutsugu Fujita,Takafumi Miyazaki, Jan. 2017, 2014, 111, 123, Introduction international proceedings
On the Nagell-Ljunggren equation, Noriko Hirata-Kohno,Tunde Kovacs,Takafumi Miyazaki, Dec. 2016, 2013, 60, 67, Introduction international proceedings
On an exponential equation concerning Pythagorean numbers with congruence relations, 宮崎 隆史, Dec. 2016, 2013, 50, 59, Introduction international proceedings
On an analogue of Jesmanowicz' conjecture on exponential Diophantine equations, 宮崎 隆史, Jan. 2014, 1874, 64, 70, Introduction international proceedings
Upper bounds for solutions of exponential Diophantine equations with applications to Fibonacci numbers, 宮崎 隆史, Jul. 2012, 1806, 134, 142, Introduction scientific journal
Exceptional cases of Terai's conjecture on Diophantine equations, Takafumi Miyazaki, 2011, DIOPHANTINE ANALYSIS AND RELATED FIELDS 2011 (DARF 2011), 1385, 87, 96, Introduction scientific journal
On exponential Diophantine equations concerning Pythagorean triples, 宮崎 隆史, Aug. 2010, 1710, 113, 123, Introduction international proceedings
Generalizations of classical results on Jesmanowicz' conjecture concerning Pythagorean triples, 宮崎 隆史, 2010, 1264, 41, 51, Introduction scientific journal
特別な純指数型不定方程式の解の個数の最良評価とその応用, 宮崎 隆史, 明学セミナー, 19 Oct. 2024
Number of solutions to a special type of unit equations in two unknowns III, Takafumi Miyazaki, NUMBER THEORY SEMINAR, 15 Jun. 2024
Number of solutions to a special type of unit equations in two unknowns III, Takafumi Miyazaki , Istvan Pink, Diophantine Analysis and Related Fields 2024, 05 Mar. 2024
Number of solutions to a special type of Pillai’s equation, Takafumi Miyazaki, Analytic number theory 2023, 13 Oct. 2023
Number of solutions to a special type of Pillai’s equation, Takafumi Miyazaki, 25th Central European Number Theory Conference, 31 Aug. 2023
Number of solutions to a special type of unit equations in two unknowns II, Takafumi Miyazaki, NUMBER THEORY SEMINAR, 25 Nov. 2022
Number of solutions to a special type of unit equations in two unknowns II, Takafumi Miyazaki, Darf seminar, 08 Oct. 2022
Number of solutions to a special type of unit equations in two unknowns II, 宮崎 隆史, Number Theory Conference 2022, 07 Jul. 2022, Hungary, International conference
項数の少ない純指数型不定方程式について, 宮崎 隆史, 愛媛大学代数セミナー, 04 Feb. 2022
ある三変数の純指数型不定方程式の解の個数について, 宮崎 隆史, 解析的整数論とその周辺(2021年度RIMS共同研究(公開型)), 15 Oct. 2021, International conference
三変数の純指数型不定方程式に関する Scott の定理について, 宮崎 隆史, 2021大分整数論研究集会, 03 Oct. 2021
純指数型不定方程式 a^x+b^y=c^z の解の個数について, 宮崎 隆史, 日本数学会(2021年度秋季総合分科会), 17 Sep. 2021
ベキ剰余理論の指数型不定方程式への応用, 宮崎 隆史, 大分数論セミナー, 10 Mar. 2019, Domestic conference
Application of cubic residue theory to a special type of unit equation concerning Eisenstein triples, Takafumi Miyazaki, Diophantine Analysis and Related Fields 2019, 09 Mar. 2019, 07 Mar. 2019, 09 Mar. 2019, Japan, International conference
特別な単数方程式と立方剰余理論の応用, 宮崎 隆史, 九大代数学セミナー, 31 Jan. 2019, Domestic conference
120 度三角形から生ずる三項指数型の不定方程式について その2, 宮崎 隆史, 群大桐生数論セミナー, 08 Dec. 2018, Domestic conference
Coincidence between two sequences of polynomials arising from Diophantine triples, Takafumi Miyazaki, Conference on Diophantine m-tuples and Related Problems II, 16 Oct. 2018, 15 Oct. 2018, 17 Oct. 2018, English, United States, International conference
120 度三角形から生ずる三項指数型の不定方程式について, 宮崎 隆史, 群大桐生数論セミナー, 15 Dec. 2017
On Terai's exponential equation with two finite integer parameters, Takafumi Miyazaki, Analytic Number Theory and Related Areas, 01 Oct. 2017, English, International conference
Yuan による二次不定方程式に関する研究とその指数型不定方程式への応用, 宮崎 隆史, 松江セミナー, 27 Jan. 2017
Extension of Dem'janenko's classical work on a quadratic Diophantine equation and its applications, Takafumi Miyazaki, Diophantine Analysis and Related Fields 2017, 09 Jan. 2017, International conference
A polynomial-exponential equation related to the Ramanujan-Nagell equation, Takafumi Miyazaki, Computational Aspects of Diophantine Equations, 17 Feb. 2016, International conference
原始ピタゴラス数から生ずる三項指数型不定方程式について, 宮崎 隆史, 代数学と計算, 14 Dec. 2015, Domestic conference
On a three-term exponential Diophantine equation, Takafumi Miyazaki, Journees Arithmetiques, 07 Jul. 2015, International conference
連続するk乗数の和とSchafferの予想について, 宮崎 隆史, 日本数学会 春季総合分科会, 24 Mar. 2015, Domestic conference
A polynomial-exponential Diophantine equation related to the sum of consecutive k-th powers, Takafumi Miyazaki, Diophantine Analysis and Related Fields 2015, 05 Mar. 2015, International conference
On an exponential equation concerning Pythagorean numbers with congruence relations, Takafumi Miyazaki, Analytic Number Theory – Distribution and Approximation of Arithmetic Objects, 30 Oct. 2014, Domestic conference
連続する k 乗数の和と Schaffer の予想, 宮崎 隆史, 明学セミナー, 18 Oct. 2014
On the exponential Diophantine equation a^x+b^y=c^z, 宮崎 隆史, Algebra and Number theory seminar (University of Debrecen), 11 Jun. 2014
連立ディオファントス方程式 a^2+b^2=(m^2+1)^r と a^x+b^y=(m^2+1)^z について, 宮崎 隆史, 日本数学会 春季総合分科会, 18 Mar. 2014, Domestic conference
An explicit refinement of a theorem of F. Luca on Terai's conjecture, Takafumi Miyazaki, Diophantine Analysis and Related Fields 2014, 07 Mar. 2014, International conference
Jesmanowicz' conjecture concerning Pythagorean numbers, 宮崎 隆史, Number theory seminar (華南師範大学), 31 Oct. 2013
ディオファントス方程式 (an-1)^x+n^y=(an+1)^z について, 宮崎 隆史, 第6 回若手ゼータ研究集会, 17 Feb. 2013
The Diophantine equation (an-1)^x+n^y=(an+1)^z, Takafumi Miyazaki, Diophantine Analysis and Related Fields 2013, 08 Jan. 2013, International conference
On an analogue of Jesmanowicz' conjecture on exponential Diophantine equations, Takafumi Miyazaki, Analytic Number Theory – Number Theory through Approximation and Asymptotics, 29 Oct. 2012, International conference
Upper bounds for solutions of exponential Diophantine equations with applications to Fibonacci numbers, Takafumi Miyazaki, Analytic Number Theory – related Multiple aspects of Arithmetic Functions, 01 Nov. 2011, International conference
指数型不定方程式 a^x+b^y=c^z の解の大きさの評価について, 宮崎 隆史, 日本数学会 秋季総合分科会, 01 Oct. 2011, Domestic conference
Upper bounds for solutions of exponential Diophantine equations with applications to Fibonacci numbers, 宮崎 隆史, 鏡ヶ池の整数論セミナー, 16 Jul. 2011
指数型不定方程式 a^x+b^y=c^z について, 宮崎 隆史, 整数論・力学系セミナー(弘前大学), 11 Jul. 2011
指数型不定方程式 a^x+b^y=c^z の解の大きさの評価について, 宮崎 隆史, 首都大整数論セミナー, 28 Jun. 2011
指数型不定方程式a^x+b^y=c^z の解の大きさの評価について, 宮崎 隆史, 明学セミナー, 18 Jun. 2011
Exceptional cases of Terai's conjecture on Diophantine equations, Takafumi Miyazaki, Diophantine Analysis and Related Fields 2011, 04 Mar. 2011, International conference
不定方程式における寺井予想の例外ケースについて, 宮崎 隆史, 第4 回若手ゼータ研究集会, 23 Feb. 2011
Terai's conjecture on exponential Diophantine equations, Takafumi Miyazaki, Analytic Number Theory — through Value Distribution and other Properties of Analytic Functions, 07 Oct. 2010, International conference
Generalizations of classical results on Jesmanowicz' conjecture concerning Pythagorean triples, 宮崎 隆史, 鏡ヶ池の整数論セミナー, 19 Jun. 2010
ピタゴラス数に関する Jesmanowicz 予想の古典的な結果の一般化, 宮崎 隆史, 学習院土曜セミナー, 05 Mar. 2010
Generalizations of classical results on Jesmanowicz' conjecture concerning Pythagorean triples, Takafumi Miyazaki, Diophantine Analysis and Related Fields 2010, 04 Mar. 2010, International conference
On exponential Diophantine equations concerning Pythagorean triples, Takafumi Miyazaki, Analytic number theory and related topics, 15 Oct. 2009, International conference
指数型不定方程式における Jesmanowicz の予想について, 宮崎 隆史, 鏡ヶ池の整数論セミナー, 27 Jun. 2009
指数型不定方程式における Jesmanowicz の予想について, 宮崎 隆史, 早稲田大学整数論セミナー, 19 Jun. 2009
ピタゴラス数に関するJesmanowicz 予想について, 宮崎 隆史, 首都大整数論セミナー, 08 Jul. 2008