• DML-CZ Home

11D61 Exponential equations (20 articles)

• Alan, Murat; Aydin, Mustafa: On the diophantine equation $x^2+2^a3^b73^c=y^n $. (English). Archivum Mathematicum, vol. 59 (2023), issue 5, pp. 411-420
• Alan, Murat: Mersenne numbers as a difference of two Lucas numbers. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 3, pp. 269-276
• Tong, Ruizhou: On the Diophantine equation $(2^x-1)(p^y-1)=2z^2$. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 3, pp. 689-696
• Keskin, Refik; Erduvan, Fatih: Repdigits in the base $b$ as sums of four balancing numbers. (English). Mathematica Bohemica, vol. 146 (2021), issue 1, pp. 55-68
• Qu, Yunyun; Zeng, Jiwen: Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 1, pp. 281-289
• Cipu, Mihai: Complete solution of the Diophantine equation $x^y+y^x=z^z$. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 2, pp. 479-484
• Alzer, Horst; Luca, Florian: Diophantine equations involving factorials. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 181-184
• Du, Xiaoying: On the exponential diophantine equation $x^y+y^x=z^z$. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 3, pp. 645-653
• Gou, Su; Wang, Tingting: The diophantine equation $x^2+2^a\cdot 17^b=y^n$. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 3, pp. 645-654
• Zhao, Yuan-e; Wang, Tingting: A note on the number of solutions of the generalized Ramanujan-Nagell equation $x^2-D=p^n$. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 2, pp. 381-389
• Godinho, Hemar; Marques, Diego; Togbé, Alain: On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$. (English). Communications in Mathematics, vol. 20 (2012), issue 2, pp. 81-88
• Marques, Diego: On the intersection of two distinct $k$-generalized Fibonacci sequences. (English). Mathematica Bohemica, vol. 137 (2012), issue 4, pp. 403-413
• Pink, István; Rábai, Zsolt: On the diophantine equation $x^2+5^k17^l=y^n$. (English). Communications in Mathematics, vol. 19 (2011), issue 1, pp. 1-9
• Le, Maohua: A note on the diophantine equation $x^2+b^Y=c^z$. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 4, pp. 1109-1116
• Bugeaud, Yann; Mignotte, Maurice: Catalanova domněnka dokázána. (Czech) [Catalan's conjecture proved]. Pokroky matematiky, fyziky a astronomie, vol. 50 (2005), issue 4, pp. 280-285
• Polický, Zdeněk: Diophantine equation $\frac{q^n-1}{q-1}=y$ for four prime divisors of $y-1$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 3, pp. 577-588
• Khosravi, Amir; Khosravi, Behrooz: On the Diophantine equation $\frac{q^n-1}{q-1}=y$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 1, pp. 1-7
• Fuchs, Clemens: An upper bound for the G.C.D. of two linear recurring sequences. (English). Mathematica Slovaca, vol. 53 (2003), issue 1, pp. 21-42
• Bugeaud, Yann: Lower bounds for the greatest prime factor of $ax^m+by^n$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 53-57
• Kiss, Péter: Pure powers and power classes in recurrence sequences. (English). Mathematica Slovaca, vol. 44 (1994), issue 5, pp. 525-529