Abirami, K. M.; Veena, Narayanan; Srikanth, R.; Dhanasekaran, P. An extensive review of the literature using the Diophantine equations to study fuzzy set theory. (English) Zbl 07962553 Int. J. Math. Math. Sci. 2024, Article ID 5014170, 16 p. (2024). MSC: 03Exx 11Dxx 16Yxx × Cite Format Result Cite Review PDF Full Text: DOI
Coppola, Nirvana; Curcó-Iranzo, Mar; Khawaja, Maleeha; Patel, Vandita; Ülkem, Özge Power values of power sums: a survey. (English) Zbl 07919515 Abdellatif, Ramla (ed.) et al., Women in numbers Europe IV. Research directions in number theory. Selected papers based on the presentations at the 4th workshop, WINE 4, Utrecht, the Netherlands, August 29 – September 2, 2022. Cham: Springer. Assoc. Women Math. Ser. 32, 155-193 (2024). Reviewer: İlker İnam (Bilecik) MSC: 11D61 11D41 11D25 11F80 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Earp-Lynch, Benjamin; Earp-Lynch, Simon; Kihel, Omar; Pongsumpun, Puntani Extension of the equation \(\sum^k_{j=1} j F_j^p = F_n^p\) to a family of Lucas sequences. (English) Zbl 07912378 Fibonacci Q. 62, No. 3, 241-257 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Chakraborty, Kalyan; Hoque, Azizul On the exponential Diophantine equation \(x^2+p^m q^n=2y^p\). (English) Zbl 07905784 N. Z. J. Math. 55, 53-60 (2024). MSC: 11D61 11D41 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baruah, Priyanka; Das, Anup; Hoque, Azizul Complete solutions of a Lebesgue-Ramanujan-Nagell type equation. (English) Zbl 07893344 Arch. Math. (Brno) 60, No. 3, 135-144 (2024). MSC: 11D61 11D41 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gueth, K.; Szalay, L. Diophantine equation with weighted \(k\)-Fibonacci numbers. (English) Zbl 1543.11021 São Paulo J. Math. Sci. 18, No. 1, 48-62 (2024). MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: DOI
Coppola, Nirvana; Curcó-Iranzo, Mar; Khawaja, Maleeha; Patel, Vandita; Ülkem, Özge On perfect powers that are sums of cubes of a nine term arithmetic progression. (English) Zbl 07869080 Indag. Math., New Ser. 35, No. 3, 500-515 (2024). MSC: 11D61 11D41 11D25 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mutlu, Elif Kızıldere; Soydan, Gökhan On the solutions of some Lebesgue-Ramanujan-Nagell type equations. (English) Zbl 07864365 Int. J. Number Theory 20, No. 5, 1195-1218 (2024). Reviewer: Maciej Ulas (Kraków) MSC: 11D41 11D59 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Maohua; Soydan, Gökhan Some exponential Diophantine equations. III: A new look at the generalized Lebesgue-Nagell equation. (English) Zbl 1544.11035 Bol. Soc. Mat. Mex., III. Ser. 30, No. 2, Paper No. 35, 9 p. (2024). Reviewer: Roberto Amato (Messina) MSC: 11D61 11E16 × Cite Format Result Cite Review PDF Full Text: DOI
Mutlu, Elif Kızıldere; Le, Maohua; Soydan, Gökhan An elementary approach to the generalized Ramanujan-Nagell equation. (English) Zbl 1543.11035 Indian J. Pure Appl. Math. 55, No. 1, 392-399 (2024). Reviewer: Ingrid Vukusic (Salzburg) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rayaguru, Sai Gopal On the Diophantine equation \(x^2 + C = y^n\). (English) Zbl 1540.11024 Indian J. Pure Appl. Math. 55, No. 1, 69-77 (2024). Reviewer: Seyran S. İbrahimov (Famagusta) MSC: 11D61 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Gajović, Stevan Reverse engineered Diophantine equations. (English) Zbl 07820968 Expo. Math. 42, No. 2, Article ID 125545, 11 p. (2024). Reviewer: Sam Chow (Coventry) MSC: 11D99 11C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Freitas, Gérsica; Lelis, Jean; Silva, Elaine A Jacobi symbol criterion involving \(k\)-Fibonacci and \(k\)-Lucas numbers and integer points on elliptic curves. (English) Zbl 1541.11053 Integers 23, Paper A41, 10 p. (2023). MSC: 11G05 11B39 11D25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Wang, Xiao; Li, Ai Hua Distribution properties and applications of consecutive quadratic residues. (Chinese. English summary) Zbl 1549.11003 Acta Math. Sin., Chin. Ser. 66, No. 2, 389-398 (2023). MSC: 11A15 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Alan, Murat; Aydin, Mustafa On the diophantine equation \(x^2+2^a3^b73^c=y^n\). (English) Zbl 07790556 Arch. Math. (Brno) 59, No. 5, 411-420 (2023). MSC: 11D61 11D59 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI
Fujita, Yasutsugu; Le, Maohua; Terai, Nobuhiro A note on the solution to the generalized Ramanujan-Nagell equation \(x^2+(4c)^y=(c+1)^z\). (English) Zbl 1532.11048 Indian J. Pure Appl. Math. 54, No. 4, 1145-1157 (2023). Reviewer: Ingrid Vukusic (Salzburg) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Ray, Anwesh Diophantine equations of the form \(Y^n=f(X)\) over function fields. (English) Zbl 1543.11033 Bull. Aust. Math. Soc. 108, No. 3, 379-390 (2023). Reviewer: Gökhan Soydan (Bursa) MSC: 11D41 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Maohua; Soydan, Gökhan On the ternary purely exponential Diophantine equation \((ak)^x + (bk)^y = ((a + b)k)^z\) for prime powers \(a\) and \(b\). (English) Zbl 1529.11057 J. Integer Seq. 26, No. 7, Article 23.7.8, 18 p. (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B39 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kitayama, Hidetaka; Tagawa, Hiroyuki; Urahashi, Keiichi Jeśmanowicz’ conjecture for non-primitive Pythagorean triples. (English) Zbl 1538.11091 Period. Math. Hung. 86, No. 2, 442-453 (2023). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D09 11D41 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Bennett, Michael A.; Siksek, Samir Differences between perfect powers: the Lebesgue-Nagell equation. (English) Zbl 1529.11056 Trans. Am. Math. Soc. 376, No. 1, 335-370 (2023). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 11D41 11F80 11F03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Le, Maohua; Soydan, Gökhan On the power values of the sum of three squares in arithmetic progression. (English) Zbl 1510.11089 Math. Commun. 27, No. 2, 137-150 (2022). Reviewer: Ilker Inam (Bilecik) MSC: 11D41 11J86 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Fei, Shuanglin; Luo, Jiagui A note on the exponential Diophantine equation \((rlm^2-1)^x+(r(r-l)m^2+1)^y=(rm)^z\). (English) Zbl 1502.11037 Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1499-1517 (2022). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Xuan Tho A note on the Diophantine equation \((x+1)^3 + (x+2)^3 + \cdots + (2x)^3 = y^n\). (English) Zbl 1510.11090 Elem. Math. 77, No. 3, 142-143 (2022). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D41 11A05 11A07 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Fujita, Yasutsugu; Le, Maohua A parametric family of ternary purely exponential Diophantine equation \(A^x + B^y = C^z\). (English) Zbl 1517.11026 Turk. J. Math. 46, No. 4, 1224-1232 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Xiaoyan; Lei, Deli A note on the Lebesgue-Ljunggren-Nagell equation \(ax^2+b^{2m}=4y^n\). (English) Zbl 1513.11106 Period. Math. Hung. 85, No. 1, 72-80 (2022). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Mutlu, Elif Kızıldere; Le, Maohua; Soydan, Gökhan A modular approach to the generalized Ramanujan-Nagell equation. (English) Zbl 1502.11039 Indag. Math., New Ser. 33, No. 5, 992-1000 (2022). Reviewer: Arman Shamsi Zargar (Ardabil) MSC: 11D61 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nansoko, Souleymane; Tchammou, Euloge; Togbé, A. The Diophantine equation \(\sum_{j=1}^k jF_j^p=L_n^q\). (English) Zbl 1493.11038 Integers 22, Paper A5, 16 p. (2022). MSC: 11B39 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Ganie, Abdul Hamid; ŏzkan, Engin; Uysal, Mine; Akhter, Afroza On new polynomial sequences constructed to each vertex in an \(n\)-gon. (English) Zbl 1490.11023 Discrete Dyn. Nat. Soc. 2022, Article ID 2910678, 13 p. (2022). MSC: 11B39 11B37 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Ghadermarzi, Amir On the exceptional solutions of Jeśmanowicz’ conjecture. (English) Zbl 1505.11059 Bull. Iran. Math. Soc. 48, No. 3, 933-949 (2022). Reviewer: Imin Chen (Burnaby) MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sadek, Mohammad; Yesin, Tuğba Divisibility by 2 on quartic models of elliptic curves and rational Diophantine \(D(q)\)-quintuples. (English) Zbl 1524.11120 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 139, 17 p. (2022). MSC: 11G05 11D09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Ruiqin; Yang, Hai On the generalized Ramanujan-Nagell equation \(x^2+(3m^2+1)=(4m^2+1)^n\). (English) Zbl 1492.11075 Indian J. Pure Appl. Math. 53, No. 1, 222-227 (2022). Reviewer: Anitha Srinivasan (Madrid) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Terai, Nobuhiro On the Diophantine equation \(x^2+b^m=c^n\) with \(a^2+b^4=c^2\). (English) Zbl 1491.11035 Indian J. Pure Appl. Math. 53, No. 1, 162-169 (2022). Reviewer: Ilker Inam (Bilecik) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Fujita, Yasutsugu; Le, Maohua Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\). (English) Zbl 1491.11034 Math. Slovaca 72, No. 2, 341-354 (2022). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Pranabesh; Dey, Pallab Kanti; Koutsianas, Angelos; Tzanakis, Nikos Perfect powers in sum of three fifth powers. (English) Zbl 1493.11073 J. Number Theory 236, 443-462 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D61 11D41 11F11 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Hai; Fu, Ruiqin A further note on Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. (English) Zbl 1495.11054 Mediterr. J. Math. 19, No. 2, Paper No. 57, 8 p. (2022). MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Chałupka, Karolina; Dąbrowski, Andrzej; Soydan, Gökhan On a class of generalized Fermat equations of signature \((2,2n,3)\). (English) Zbl 1505.11058 J. Number Theory 234, 153-178 (2022). Reviewer: Imin Chen (Burnaby) MSC: 11D61 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen Xuan Tho Solutions to a Lebesgue-Nagell equation. (English) Zbl 1486.11052 Bull. Aust. Math. Soc. 105, No. 1, 19-30 (2022). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D72 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Chakraborty, Kalyan; Hoque, Azizul On the Diophantine equation \(dx^2+p^{2a}q^{2b}=4y^p\). (English) Zbl 1490.11041 Result. Math. 77, No. 1, Paper No. 18, 11 p. (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D61 11D41 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Çelik, Songül; Durukan, İnan; Özkan, Engin New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers. (English) Zbl 1489.11025 Chaos Solitons Fractals 150, Article ID 111173, 8 p. (2021). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Ganesh, Ashokan Hari; Prabhakaran, Kumaresan On the integral solutions of binary quadratic Diophantine equation \(ax^2-bx=cy^2\). (English) Zbl 1499.11163 South East Asian J. Math. Math. Sci. 17, No. 2, 337-354 (2021). MSC: 11D09 × Cite Format Result Cite Review PDF Full Text: Link
Salami, Sajad; Shamsi Zargar, Arman Families of cubic elliptic curves containing sequences of consecutive powers. (English) Zbl 1496.11085 Rocky Mt. J. Math. 51, No. 5, 1833-1845 (2021). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Patel, Vandita A Lucas-Lehmer approach to generalised Lebesgue-Ramanujan-Nagell equations. (English) Zbl 1484.11102 Ramanujan J. 56, No. 2, 585-596 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 11D41 11D59 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Maohua; Soydan, Gökhan A note on Terai’s conjecture concerning primitive Pythagorean triples. (English) Zbl 1488.11093 Hacet. J. Math. Stat. 50, No. 4, 911-917 (2021). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Koutsianas, Angelos On the solutions of the Diophantine equation \((x-d)^2 +x^2 +(x+d)^2 =y^n\) for \(d\) a prime power. (English) Zbl 1505.11060 Funct. Approximatio, Comment. Math. 64, No. 2, 141-151 (2021). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Godinho, Hemar; Neumann, Victor G. L. The Diophantine equation \(x^2+ p^a q^b= y^q\). (English) Zbl 1486.11051 Int. J. Number Theory 17, No. 9, 2113-2130 (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D41 11D45 × Cite Format Result Cite Review PDF Full Text: DOI
Kundu, Debanjana; Patel, Vandita Perfect powers that are sums of squares of an arithmetic progression. (English) Zbl 1505.11061 Rocky Mt. J. Math. 51, No. 3, 933-949 (2021). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa On the solutions of certain Lebesgue-Ramanujan-Nagell equations. (English) Zbl 1473.11072 Rocky Mt. J. Math. 51, No. 2, 459-471 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11D41 11D61 11R29 × Cite Format Result Cite Review PDF Full Text: arXiv
Chakraborty, K.; Hoque, A.; Srinivas, K. On the Diophantine equation \(cx^2+p^{2m}=4y^n\). (English) Zbl 1480.11039 Result. Math. 76, No. 2, Paper No. 57, 13 p. (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D41 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tchammou, Euloge; Togbé, Alain On some Diophantine equations involving balancing numbers. (English) Zbl 1524.11047 Arch. Math., Brno 57, No. 2, 113-130 (2021). MSC: 11B39 11B83 11D99 × Cite Format Result Cite Review PDF Full Text: DOI
Tchammou, E.; Togbé, A. On the Diophantine equation \(\sum_{j=1}^kjP_j^p=P_n^q\). (English) Zbl 1474.11053 Acta Math. Hung. 162, No. 2, 647-676 (2020). Reviewer: László A. Székely (Columbia) MSC: 11B39 11D45 × Cite Format Result Cite Review PDF Full Text: DOI
Alan, Murat; Zengin, Uǧur On the Diophantine equation \(x^2+3^a41^b=y^n\). (English) Zbl 1474.11093 Period. Math. Hung. 81, No. 2, 284-291 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D61 11D59 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Ruiqin; Yang, Hai A note on the exceptional solutions of Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. (English) Zbl 1474.11098 Period. Math. Hung. 81, No. 2, 275-283 (2020). MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Luca, Florian; Tchammou, Euloge; Togbé, Alain On the exponential Diophantine equation \(P_n^x+P_{n+1}^x+\cdots +P_{n+k-1}^x=P_m\). (English) Zbl 1472.11105 Math. Slovaca 70, No. 6, 1333-1348 (2020). MSC: 11D61 11B39 11J86 × Cite Format Result Cite Review PDF Full Text: DOI Link
Alan, Murat On the exponential Diophantine equation \((m^2+m+1)^x+m^y=(m+1)^z\). (English) Zbl 1478.11042 Mediterr. J. Math. 17, No. 6, Paper No. 189, 7 p. (2020). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Kizildere, Elif; Soydan, Gokhan On the Diophantine equation \((5pn^2 - 1)^x + (p(p - 5)n^2 + 1)^y=(pn)^z\). (English) Zbl 1478.11047 Honam Math. J. 42, No. 1, 139-150 (2020). MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altassan, Alaa; Luca, Florian On the equation \(\sum_{j = 1}^k j F_j^p = F_n^q\). (English) Zbl 1471.11043 J. Number Theory 217, 256-277 (2020). MSC: 11B39 11D61 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sharma, Richa On Lebesgue-Ramanujan-Nagell type equations. (English) Zbl 1447.11053 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 147-161 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11D61 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Argáez-García, Alejandro; Patel, Vandita On perfect powers that are sums of cubes of a seven term arithmetic progression. (English) Zbl 1459.11090 J. Number Theory 214, 440-451 (2020). MSC: 11D61 11D41 11D59 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Gueth, Krisztián; Luca, Florian; Szalay, László On a Diophantine equation involving powers of Fibonacci numbers. (English) Zbl 1478.11017 Proc. Japan Acad., Ser. A 96, No. 4, 33-37 (2020). Reviewer: Gökhan Soydan (Bursa) MSC: 11B39 11D45 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Argáez-García, Alejandro On perfect powers that are sums of cubes of a five term arithmetic progression. (English) Zbl 1459.11089 J. Number Theory 201, 460-472 (2019). MSC: 11D61 11D41 11F80 11F11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taki ElDin, Ramy F. Applying modular arithmetic to Diophantine equations. (English) Zbl 1447.11046 Integers 18, Paper A64, 16 p. (2018). MSC: 11D04 × Cite Format Result Cite Review PDF Full Text: Link
Koutsianas, Angelos; Patel, Vandita Perfect powers that are sums of squares in a three term arithmetic progression. (English) Zbl 1441.11065 Int. J. Number Theory 14, No. 10, 2729-2735 (2018). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soydan, Gökhan; Németh, László; Szalay, László On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). (English) Zbl 1463.11047 Arch. Math., Brno 54, No. 3, 177-188 (2018). MSC: 11B39 11D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\). (English) Zbl 1433.11034 J. Number Theory 183, 326-351 (2018). MSC: 11D61 11D41 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demırcı, Musa On the Diophantine equation \(x^2 + 5^a\cdot p^b = y^n\). (English) Zbl 1499.11172 Filomat 31, No. 16, 5263-5269 (2017). MSC: 11D61 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Goedhart, Eva G.; Grundman, Helen G. On the Diophantine equation \(X^{2N}+2^{2\alpha}5^{2\beta}p^{2\gamma}=Z^5\). (English) Zbl 1413.11071 Period. Math. Hung. 75, No. 2, 196-200 (2017). MSC: 11D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patel, Vandita; Siksek, Samir On powers that are sums of consecutive like powers. (English) Zbl 1358.11052 Res. Number Theory 3, Paper No. 2, 7 p. (2017). MSC: 11D61 11B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soydan, G.; Tzanakis, N. Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). (English) Zbl 1425.11059 Bull. Hell. Math. Soc. 60, 125-151 (2016). MSC: 11D61 11D59 11D41 11J86 11Y40 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Godinho, Hemar; Marques, Diego; Togbé, Alain On the Diophantine equation \(x^2 + C = y^n\), for \(C = 2^a3^b17^c\) and \(C = 2^a13^b17^c\). (English) Zbl 1389.11087 Math. Slovaca 66, No. 3, 565-574 (2016). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, H.; Le, M.; Soydan, G.; Togbé, A. On the exponential Diophantine equation \(x^2 + 2^a p^b = y^n\). (English) Zbl 1349.11078 Period. Math. Hung. 70, No. 2, 233-247 (2015). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D61 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Goedhart, Eva G.; Grundman, Helen G. On the Diophantine equation \(NX^2 + 2^L3^M = Y^N\). (English) Zbl 1309.11027 J. Number Theory 141, 214-224 (2014). MSC: 11D41 11D61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Xiaowei The exponential Lebesgue-Nagell equation \(X^2 + P^{2m}= Y^n\). (English) Zbl 1324.11037 Period. Math. Hung. 67, No. 2, 231-242 (2013). Reviewer: Attila Bérczes (Debrecen) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Godinho, Hemar; Marques, Diego; Togbé, Alain On the Diophantine equation \(x^2 + 2^{\alpha} 5^{\beta} 17^{\gamma} = y^n\). (English) Zbl 1332.11041 Commun. Math. 20, No. 2, 81-88 (2012). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 11Y50 × Cite Format Result Cite Review PDF
Soydan, Gökhan; Ulas, Maciej; Zhu, Huilin On the Diophantine equation \(x^2 + 2^a \cdot 19^b = y^n\). (English) Zbl 1291.11069 Indian J. Pure Appl. Math. 43, No. 3, 251-261 (2012). MSC: 11D41 11R11 11R29 × Cite Format Result Cite Review PDF Full Text: DOI
Pink, István; Rábai, Zsolt On the Diophantine equation \(x^2+5^k17^l=y^n\). (English) Zbl 1264.11026 Commun. Math. 19, No. 1, 1-9 (2011). Reviewer: Mihai Cipu (Bucureşti) MSC: 11D41 11D61 × Cite Format Result Cite Review PDF Full Text: EuDML Link