Alan, Murat; Alan, Kadriye Simsek Mersenne numbers which are products of two Pell numbers. (English) Zbl 07531928 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 38, 9 p. (2022). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{M. Alan} and \textit{K. S. Alan}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 38, 9 p. (2022; Zbl 07531928) Full Text: DOI OpenURL
García, Jonathan; Gómez, Carlos A. On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers. (English) Zbl 07524920 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 103, 36 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{J. García} and \textit{C. A. Gómez}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 103, 36 p. (2022; Zbl 07524920) Full Text: DOI OpenURL
Hernane, Mohand O.; Rihane, Salah Eddine; Seffah, Safia; Togbé, Alain On Fermat and Mersenne numbers expressible as product of two \(k\)-Fibonacci numbers. (English) Zbl 07510862 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 36, 12 p. (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{M. O. Hernane} et al., Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 36, 12 p. (2022; Zbl 07510862) Full Text: DOI OpenURL
García Lomelí, Ana Cecilia; Hernández Hernández, Santos On the Diophantine equation \(P_m=P_n^x+P_{n+1}^x\) with Padovan numbers. (English) Zbl 07493127 Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 24, 12 p. (2022). MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{A. C. García Lomelí} and \textit{S. Hernández Hernández}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 24, 12 p. (2022; Zbl 07493127) Full Text: DOI OpenURL
García Lomelí, Ana Cecilia; Hernández Hernández, Santos; Luca, Florian Fibonacci numbers as sums of two Padovan numbers. (English) Zbl 07492757 Afr. Mat. 33, No. 1, Paper No. 14, 10 p. (2022). MSC: 11J86 11D61 PDF BibTeX XML Cite \textit{A. C. García Lomelí} et al., Afr. Mat. 33, No. 1, Paper No. 14, 10 p. (2022; Zbl 07492757) Full Text: DOI OpenURL
Rihane, Salah Eddine \(k\)-Pell numbers as product of two repdigits. (English) Zbl 07488617 Mediterr. J. Math. 19, No. 2, Paper No. 61, 14 p. (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane}, Mediterr. J. Math. 19, No. 2, Paper No. 61, 14 p. (2022; Zbl 07488617) Full Text: DOI OpenURL
Tiebekabe, P.; Diouf, I. On solutions of the Diophantine equation \(F_{n_1}+F_{n_2}+F_{n_3}+F_{n_4}=2^a\). (English) Zbl 07528433 J. Algebra Relat. Top. 9, No. 2, 131-148 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{P. Tiebekabe} and \textit{I. Diouf}, J. Algebra Relat. Top. 9, No. 2, 131--148 (2021; Zbl 07528433) Full Text: DOI OpenURL
Tiebekabe, Pagdame; Diouf, Ismaïla Powers of three as difference of two Fibonacci numbers \(F_n-F_m=3^p)\). (English) Zbl 07523001 JP J. Algebra Number Theory Appl. 49, No. 2, 185-196 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{P. Tiebekabe} and \textit{I. Diouf}, JP J. Algebra Number Theory Appl. 49, No. 2, 185--196 (2021; Zbl 07523001) Full Text: DOI OpenURL
Bhoi, K.; Ray, P. Repdigits as difference of two Fibonacci or Lucas numbers. (English) Zbl 07509978 Mat. Stud. 56, No. 2, 124-132 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{K. Bhoi} and \textit{P. Ray}, Mat. Stud. 56, No. 2, 124--132 (2021; Zbl 07509978) Full Text: DOI OpenURL
Normenyo, B.; Rihane, S.; Togbe, A. Fermat and Mersenne numbers in \(k\)-Pell sequence. (English) Zbl 07509977 Mat. Stud. 56, No. 2, 115-123 (2021). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{B. Normenyo} et al., Mat. Stud. 56, No. 2, 115--123 (2021; Zbl 07509977) Full Text: DOI OpenURL
Edjeou, Bilizimbéyé; Tall, Amadou; Ben Maaouia, Mohamed Ben Fraj On Pillai’s problem with Lucas numbers and powers of 3. (English) Zbl 07497500 Integers 21, Paper A108, 12 p. (2021). MSC: 11Axx PDF BibTeX XML Cite \textit{B. Edjeou} et al., Integers 21, Paper A108, 12 p. (2021; Zbl 07497500) Full Text: Link OpenURL
Erduvan, Fatih; Keskin, Refik; Şiar, Zafer Repdigits base \(b\) as products of two Lucas numbers. (English) Zbl 07462343 Quaest. Math. 44, No. 10, 1283-1293 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} et al., Quaest. Math. 44, No. 10, 1283--1293 (2021; Zbl 07462343) Full Text: DOI OpenURL
Bravo, Jhon J.; Gómez, Carlos A.; Herrera, Jose L. \(k\)-Fibonacci numbers close to a power of 2. (English) Zbl 07462257 Quaest. Math. 44, No. 12, 1681-1690 (2021). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., Quaest. Math. 44, No. 12, 1681--1690 (2021; Zbl 07462257) Full Text: DOI OpenURL
Erduvan, Fatih; Keskin, Refik; Şiar, Zafer Repdigits base \(b\) as products of two Fibonacci numbers. (English) Zbl 07453748 Indian J. Pure Appl. Math. 52, No. 3, 861-868 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} et al., Indian J. Pure Appl. Math. 52, No. 3, 861--868 (2021; Zbl 07453748) Full Text: DOI OpenURL
Bravo, Jhon J.; Díaz, Maribel; Gómez, Carlos A. Pillai’s problem with \(k\)-Fibonacci and Pell numbers. (English) Zbl 07442736 J. Difference Equ. Appl. 27, No. 10, 1434-1455 (2021). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., J. Difference Equ. Appl. 27, No. 10, 1434--1455 (2021; Zbl 07442736) Full Text: DOI OpenURL
Ddamulira, Mahadi Padovan numbers that are concatenations of two distinct repdigits. (English) Zbl 07438341 Math. Slovaca 71, No. 2, 275-284 (2021). MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira}, Math. Slovaca 71, No. 2, 275--284 (2021; Zbl 07438341) Full Text: DOI arXiv OpenURL
Bravo, Eric F.; Bravo, Jhon J. Tribonacci numbers with two blocks of repdigits. (English) Zbl 07438340 Math. Slovaca 71, No. 2, 267-274 (2021). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{E. F. Bravo} and \textit{J. J. Bravo}, Math. Slovaca 71, No. 2, 267--274 (2021; Zbl 07438340) Full Text: DOI OpenURL
Ddamulira, Mahadi; Luca, Florian On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. (English) Zbl 1481.11020 Ramanujan J. 56, No. 2, 651-684 (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira} and \textit{F. Luca}, Ramanujan J. 56, No. 2, 651--684 (2021; Zbl 1481.11020) Full Text: DOI arXiv OpenURL
Şiar, Zafer; Keskin, Refik; Erduvan, Fatih Fibonacci or Lucas numbers which are products of two repdigits in base \(b\). (English) Zbl 07434788 Bull. Braz. Math. Soc. (N.S.) 52, No. 4, 1025-1040 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{Z. Şiar} et al., Bull. Braz. Math. Soc. (N.S.) 52, No. 4, 1025--1040 (2021; Zbl 07434788) Full Text: DOI OpenURL
Park, Jinseo Diophantine triple with Fibonacci numbers and elliptic curve. (English) Zbl 07424086 Commun. Korean Math. Soc. 36, No. 3, 401-411 (2021). Reviewer: Matteo Verzobio (Pisa) MSC: 11B39 11G05 11D09 PDF BibTeX XML Cite \textit{J. Park}, Commun. Korean Math. Soc. 36, No. 3, 401--411 (2021; Zbl 07424086) Full Text: DOI OpenURL
Alahmadi, Adel; Altassan, Alaa; Luca, Florian; Shoaib, Hatoon \(k\)-generalized Fibonacci numbers which are concatenations of two repdigits. (English) Zbl 07414938 Glas. Mat., III. Ser. 56, No. 1, 29-46 (2021). MSC: 11B39 11A63 11J86 PDF BibTeX XML Cite \textit{A. Alahmadi} et al., Glas. Mat., III. Ser. 56, No. 1, 29--46 (2021; Zbl 07414938) Full Text: DOI OpenURL
Erduvan, Fatih; Keskin, Refik; Şiar, Zafer Repdigits base \(b\) as products of two Pell numbers or Pell-Lucas numbers. (English) Zbl 07413719 Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 70, 17 p. (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 70, 17 p. (2021; Zbl 07413719) Full Text: DOI OpenURL
Erazo, Harold S.; Gómez, Carlos A.; Luca, Florian On Pillai’s problem with \(X\)-coordinates of Pell equations and powers of 2. II. (English) Zbl 07410933 Int. J. Number Theory 17, No. 10, 2251-2277 (2021). MSC: 11D61 11B39 11D45 PDF BibTeX XML Cite \textit{H. S. Erazo} et al., Int. J. Number Theory 17, No. 10, 2251--2277 (2021; Zbl 07410933) Full Text: DOI OpenURL
Rihane, Salah Eddine; Hernane, Mohand Ouamar; Togbé, Alain Solutions of a class of quartic Thue inequalities. (English) Zbl 07410372 Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 57, 14 p. (2021). MSC: 11D59 11D09 11D75 11D25 11A55 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 57, 14 p. (2021; Zbl 07410372) Full Text: DOI OpenURL
Adédji, Kouèssi Norbert; Filipin, Alan; Togbé, Alain Padovan and Perrin numbers which are products of two repdigits in base \(b\). (English) Zbl 1473.11037 Result. Math. 76, No. 4, Paper No. 193, 24 p. (2021). MSC: 11B39 11A63 11J86 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., Result. Math. 76, No. 4, Paper No. 193, 24 p. (2021; Zbl 1473.11037) Full Text: DOI OpenURL
Bliznac Trebješanin, M. Extension of a Diophantine triple with the property \(D(4)\). (English) Zbl 07399062 Acta Math. Hung. 163, No. 1, 213-246 (2021). MSC: 11D09 11D45 11J86 PDF BibTeX XML Cite \textit{M. Bliznac Trebješanin}, Acta Math. Hung. 163, No. 1, 213--246 (2021; Zbl 07399062) Full Text: DOI arXiv OpenURL
Bernardini, Matheus; Marques, Diego; Trojovský, Pavel On two-generator Fibonacci numerical semigroups with a prescribed genus. (English) Zbl 07388097 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 149, 18 p. (2021). MSC: 11Dxx 11B39 20M13 PDF BibTeX XML Cite \textit{M. Bernardini} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 149, 18 p. (2021; Zbl 07388097) Full Text: DOI OpenURL
Patel, Bijan Kumar; Chaves, Ana Paula On the exponential Diophantine equation \(F_{n+1}^x - F_{n-1}^x = F_m\). (English) Zbl 07388040 Mediterr. J. Math. 18, No. 5, Paper No. 187, 11 p. (2021). MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{B. K. Patel} and \textit{A. P. Chaves}, Mediterr. J. Math. 18, No. 5, Paper No. 187, 11 p. (2021; Zbl 07388040) Full Text: DOI OpenURL
Luca, Florian; Petho, Attila; Szalay, Laszlo Duplications In the \(k\)-generalized Fibonacci sequences. (English) Zbl 07382065 New York J. Math. 27, 1115-1133 (2021). MSC: 11B39 11D61 PDF BibTeX XML Cite \textit{F. Luca} et al., New York J. Math. 27, 1115--1133 (2021; Zbl 07382065) Full Text: Link OpenURL
Rayaguru, Sai Gopal; Panda, Gopal Krishna; Şiar, Zafer Associated Pell numbers which are repdigits or concatenation of two repdigits. (English) Zbl 07379307 Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 54, 12 p. (2021). MSC: 11B39 11J86 11B50 11D72 PDF BibTeX XML Cite \textit{S. G. Rayaguru} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 54, 12 p. (2021; Zbl 07379307) Full Text: DOI OpenURL
Bravo, Eric F.; Bravo, Jhon J.; Gómez, Carlos A. Generalized Lucas numbers which are concatenations of two repdigits. (English) Zbl 07372255 Result. Math. 76, No. 3, Paper No. 139, 16 p. (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{E. F. Bravo} et al., Result. Math. 76, No. 3, Paper No. 139, 16 p. (2021; Zbl 07372255) Full Text: DOI OpenURL
Bravo, Jhon J.; Herrera, Jose L. Even perfect numbers in generalized Pell sequences. (English) Zbl 1471.11048 Lith. Math. J. 61, No. 1, 1-12 (2021). MSC: 11B39 11A25 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} and \textit{J. L. Herrera}, Lith. Math. J. 61, No. 1, 1--12 (2021; Zbl 1471.11048) Full Text: DOI OpenURL
Adédji, Kouèssi Norbert; He, Bo; Pintér, Ákos; Togbé, Alain On the Diophantine pair \(\{a,3a\}\). (English) Zbl 1475.11045 J. Number Theory 227, 330-351 (2021). Reviewer: Mihai Cipu (Bucureşti) MSC: 11D09 11J86 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., J. Number Theory 227, 330--351 (2021; Zbl 1475.11045) Full Text: DOI OpenURL
Cipu, Mihai; Dujella, Andrej; Fujita, Yasutsugu Fujita Diophantine triples with largest two elements in common. (English) Zbl 1474.11078 Period. Math. Hung. 82, No. 1, 56-68 (2021). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11D09 11B37 11J68 11J86 PDF BibTeX XML Cite \textit{M. Cipu} et al., Period. Math. Hung. 82, No. 1, 56--68 (2021; Zbl 1474.11078) Full Text: DOI OpenURL
Erduvan, Fatih; Keskin, Refik Lucas numbers which are concatenations of three repdigits. (English) Zbl 07362279 Result. Math. 76, No. 1, Paper No. 13, 13 p. (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Result. Math. 76, No. 1, Paper No. 13, 13 p. (2021; Zbl 07362279) Full Text: DOI OpenURL
Chalebgwa, Taboka P.; Ddamulira, Mahadi Padovan numbers which are palindromic concatenations of two distinct repdigits. (English) Zbl 1468.11049 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 108, 14 p. (2021). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{T. P. Chalebgwa} and \textit{M. Ddamulira}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 108, 14 p. (2021; Zbl 1468.11049) Full Text: DOI OpenURL
Bravo, Jhon J.; Herrera, Jose L.; Luca, Florian Common values of generalized Fibonacci and Pell sequences. (English) Zbl 1471.11049 J. Number Theory 226, 51-71 (2021). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., J. Number Theory 226, 51--71 (2021; Zbl 1471.11049) Full Text: DOI OpenURL
Ddamulira, Mahadi On the \(x\)-coordinates of Pell equations that are sums of two Padovan numbers. (English) Zbl 1471.11064 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 4, 23 p. (2021). MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 4, 23 p. (2021; Zbl 1471.11064) Full Text: DOI OpenURL
Erduvan, Fatih; Keskin, Refik Lucas numbers which are concatenations of two repdigits. (English) Zbl 1481.11021 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 20, 11 p. (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 20, 11 p. (2021; Zbl 1481.11021) Full Text: DOI OpenURL
Alahmadi, Adel; Altassan, Alaa; Luca, Florian; Shoaib, Hatoon Fibonacci numbers which are concatenations of two repdigits. (English) Zbl 1472.11067 Quaest. Math. 44, No. 2, 281-290 (2021). MSC: 11B39 11A25 11J86 PDF BibTeX XML Cite \textit{A. Alahmadi} et al., Quaest. Math. 44, No. 2, 281--290 (2021; Zbl 1472.11067) Full Text: DOI OpenURL
Patel, Bijan Kumar; Teh, Wen Chean An exponential Diophantine equation related to powers of three consecutive Fibonacci numbers. (English) Zbl 07340048 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 927-939 (2021). MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{B. K. Patel} and \textit{W. C. Teh}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 927--939 (2021; Zbl 07340048) Full Text: DOI OpenURL
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian \(k\)-Fibonacci powers as sums of powers of some fixed primes. (English) Zbl 07335302 Monatsh. Math. 195, No. 1, 73-105 (2021). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Monatsh. Math. 195, No. 1, 73--105 (2021; Zbl 07335302) Full Text: DOI OpenURL
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian Two \(b\)-repunits in the Fibonacci sequence. (English) Zbl 1468.11054 J. Number Theory 222, 393-422 (2021). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., J. Number Theory 222, 393--422 (2021; Zbl 1468.11054) Full Text: DOI OpenURL
Fujita, Yasutsugu; Le, Maohua Uniqueness of solutions to simultaneous Pell equations. (English) Zbl 1470.11049 Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 393-405 (2021). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 11B37 11J68 PDF BibTeX XML Cite \textit{Y. Fujita} and \textit{M. Le}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 393--405 (2021; Zbl 1470.11049) Full Text: DOI OpenURL
Kebli, Salima; Kihel, Omar; Larone, Jesse; Luca, Florian On the nonnegative integer solutions to the equation \(F_n \pm F_m = y^a\). (English) Zbl 07276978 J. Number Theory 220, 107-127 (2021). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 11J87 PDF BibTeX XML Cite \textit{S. Kebli} et al., J. Number Theory 220, 107--127 (2021; Zbl 07276978) Full Text: DOI OpenURL
Bravo, Jhon J.; Herrera, Jose L. Fibonacci numbers in generalized Pell sequences. (English) Zbl 07439827 Math. Slovaca 70, No. 5, 1057-1068 (2020). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} and \textit{J. L. Herrera}, Math. Slovaca 70, No. 5, 1057--1068 (2020; Zbl 07439827) Full Text: DOI OpenURL
Erazo, Harold; Gómez, Carlos A.; Luca, Florian Linear combinations of prime powers in \(X\)-coordinates of Pell equations. (English) Zbl 07343717 Ramanujan J. 53, No. 1, 123-137 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{H. Erazo} et al., Ramanujan J. 53, No. 1, 123--137 (2020; Zbl 07343717) Full Text: DOI OpenURL
García, Jonathan; Gómez, Carlos A.; Luca, Florian On the zero-multiplicity of the \(k\)-generalized Fibonacci sequence. (English) Zbl 1464.11024 J. Difference Equ. Appl. 26, No. 11-12, 1564-1578 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{J. García} et al., J. Difference Equ. Appl. 26, No. 11--12, 1564--1578 (2020; Zbl 1464.11024) Full Text: DOI OpenURL
Ddamulira, Mahadi On the \(x\)-coordinates of Pell equations that are products of two Padovan numbers. (English) Zbl 1465.11057 Integers 20, Paper A70, 20 p. (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11D41 PDF BibTeX XML Cite \textit{M. Ddamulira}, Integers 20, Paper A70, 20 p. (2020; Zbl 1465.11057) Full Text: arXiv Link OpenURL
Fried, Katalin; Gyarmati, Katalin On multiplicative bases of finite sets. (English) Zbl 1465.11048 Integers 20, Paper A47, 16 p. (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B13 11N25 11C08 PDF BibTeX XML Cite \textit{K. Fried} and \textit{K. Gyarmati}, Integers 20, Paper A47, 16 p. (2020; Zbl 1465.11048) Full Text: Link OpenURL
Gómez, Carlos A.; Luca, Florian; Zottor, Faith Shadow On \(X\)-coordinates of Pell equations which are repdigits. (English) Zbl 1470.11026 Res. Number Theory 6, No. 4, Paper No. 41, 21 p. (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Res. Number Theory 6, No. 4, Paper No. 41, 21 p. (2020; Zbl 1470.11026) Full Text: DOI OpenURL
Earp-Lynch, B.; Earp-Lynch, S.; Kihel, O. On certain \(D(9)\) and \(D(64)\) Diophantine triples. (English) Zbl 1474.11079 Acta Math. Hung. 162, No. 2, 483-517 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11D09 11D45 11B37 11J86 PDF BibTeX XML Cite \textit{B. Earp-Lynch} et al., Acta Math. Hung. 162, No. 2, 483--517 (2020; Zbl 1474.11079) Full Text: DOI OpenURL
Luca, F.; Szalay, L. On the equation \((2^k-1)(3^l-1)=5^m-1\). (English) Zbl 1472.11106 Azerb. J. Math. 10, No. 2, 3-11 (2020). MSC: 11D61 11J86 11Y50 PDF BibTeX XML Cite \textit{F. Luca} and \textit{L. Szalay}, Azerb. J. Math. 10, No. 2, 3--11 (2020; Zbl 1472.11106) Full Text: Link OpenURL
Ddamulira, Mahadi; Luca, Florian The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II. (English) Zbl 1471.11065 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 58, 20 p. (2020). MSC: 11B39 11D09 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira} and \textit{F. Luca}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 58, 20 p. (2020; Zbl 1471.11065) Full Text: DOI OpenURL
Rayaguru, Sai Gopal; Panda, Gopal Krishna Balancing numbers which are concatenation of two repdigits. (English) Zbl 1455.11020 Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 911-919 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11A63 11B39 11B50 11D72 11J86 PDF BibTeX XML Cite \textit{S. G. Rayaguru} and \textit{G. K. Panda}, Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 911--919 (2020; Zbl 1455.11020) Full Text: DOI OpenURL
Rihane, Salah Eddine; Akrour, Youssouf; El Habibi, Abdelaziz Fibonacci numbers which are products of three Pell numbers and Pell numbers which are products of three Fibonacci numbers. (English) Zbl 07270781 Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 895-910 (2020). Reviewer: Sai Gopal Rayaguru (Rourkela) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 895--910 (2020; Zbl 07270781) Full Text: DOI OpenURL
Ddamulira, Mahadi Tribonacci numbers that are concatenations of two repdigits. (English) Zbl 1471.11063 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 203, 9 p. (2020). MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 203, 9 p. (2020; Zbl 1471.11063) Full Text: DOI OpenURL
Edjeou, Bilizimbéyé; Tall, Amadou; Ben Maaouia, Mohamed Ben Fraj Powers of two as sums of three Lucas numbers. (English) Zbl 1477.11033 J. Integer Seq. 23, No. 8, Article 20.8.8, 16 p. (2020). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{B. Edjeou} et al., J. Integer Seq. 23, No. 8, Article 20.8.8, 16 p. (2020; Zbl 1477.11033) Full Text: Link OpenURL
Bravo, Jhon J.; Das, Pranabesh; Guzmán, Sergio Repdigits in Narayana’s cows sequence and their consequences. (English) Zbl 1477.11031 J. Integer Seq. 23, No. 8, Article 20.8.7, 15 p. (2020). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., J. Integer Seq. 23, No. 8, Article 20.8.7, 15 p. (2020; Zbl 1477.11031) Full Text: arXiv Link OpenURL
Liptai, Kálmán; Németh, László; Soydan, Gökhan; Szalay, László Resolution of the equation \((3^{x_{1}}-1)(3^{x_{2}}-1)=(5^{y_{1}}-1)(5^{y_{2}}-1)\). (English) Zbl 1480.11041 Rocky Mt. J. Math. 50, No. 4, 1425-1433 (2020). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{K. Liptai} et al., Rocky Mt. J. Math. 50, No. 4, 1425--1433 (2020; Zbl 1480.11041) Full Text: DOI arXiv Euclid OpenURL
Ddamulira, Mahadi; Luca, Florian On the problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of \(3\). (English) Zbl 1446.11025 Int. J. Number Theory 16, No. 7, 1643-1666 (2020). Reviewer: Andreas N. Philippou (Patras) MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira} and \textit{F. Luca}, Int. J. Number Theory 16, No. 7, 1643--1666 (2020; Zbl 1446.11025) Full Text: DOI arXiv OpenURL
Bilu, Yuri; Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian Elliptic curves over finite fields with Fibonacci numbers of points. (English) Zbl 1456.11116 New York J. Math. 26, 711-734 (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11G20 11D61 11J86 11Y50 11B39 PDF BibTeX XML Cite \textit{Y. Bilu} et al., New York J. Math. 26, 711--734 (2020; Zbl 1456.11116) Full Text: Link OpenURL
Rihane, Salah Eddine; Adegbindin, Chèfiath Awero; Togbé, Alain Fermat Padovan and Perrin numbers. (English) Zbl 1446.11027 J. Integer Seq. 23, No. 6, Article 20.6.2, 11 p. (2020). Reviewer: István Gaál (Debrecen) MSC: 11B39 11A51 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., J. Integer Seq. 23, No. 6, Article 20.6.2, 11 p. (2020; Zbl 1446.11027) Full Text: Link OpenURL
Ddamulira, Mahadi On a problem of Pillai with Fibonacci numbers and powers of 3. (English) Zbl 1464.11023 Bol. Soc. Mat. Mex., III. Ser. 26, No. 2, 263-277 (2020). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira}, Bol. Soc. Mat. Mex., III. Ser. 26, No. 2, 263--277 (2020; Zbl 1464.11023) Full Text: DOI OpenURL
Ddamulira, Mahadi Repdigits as sums of three Padovan numbers. (English) Zbl 1464.11022 Bol. Soc. Mat. Mex., III. Ser. 26, No. 2, 247-261 (2020). MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira}, Bol. Soc. Mat. Mex., III. Ser. 26, No. 2, 247--261 (2020; Zbl 1464.11022) Full Text: DOI arXiv OpenURL
Erduvan, Fatih; Keskin, Refik Repdigits as products of two Fibonacci or Lucas numbers. (English) Zbl 1440.11016 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 28, 14 p. (2020). Reviewer: Mahadi Ddamulira (Graz) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 28, 14 p. (2020; Zbl 1440.11016) Full Text: DOI OpenURL
Gómez, Carlos A.; Luca, Florian Zeckendorf representations with at most two terms to \(x\)-coordinates of Pell equations. (English) Zbl 1455.11031 Sci. China, Math. 63, No. 4, 627-642 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} and \textit{F. Luca}, Sci. China, Math. 63, No. 4, 627--642 (2020; Zbl 1455.11031) Full Text: DOI arXiv OpenURL
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu An infinite two-parameter family of Diophantine triples. (English) Zbl 1452.11031 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 481-498 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D09 11B37 11J86 PDF BibTeX XML Cite \textit{M. Cipu} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 481--498 (2020; Zbl 1452.11031) Full Text: DOI OpenURL
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu Diophantine pairs that induce certain Diophantine triples. (English) Zbl 1475.11046 J. Number Theory 210, 433-475 (2020). Reviewer: Volker Ziegler (Salzburg) MSC: 11D09 11B37 11J86 PDF BibTeX XML Cite \textit{M. Cipu} et al., J. Number Theory 210, 433--475 (2020; Zbl 1475.11046) Full Text: DOI OpenURL
Ddamulira, Mahadi; Luca, Florian On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers. (English) Zbl 1447.11025 J. Number Theory 207, 156-195 (2020). MSC: 11B39 11D09 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira} and \textit{F. Luca}, J. Number Theory 207, 156--195 (2020; Zbl 1447.11025) Full Text: DOI arXiv OpenURL
Ziegler, Volker On the existence of \(S\)-Diophantine quadruples. (English) Zbl 1479.11056 Glas. Mat., III. Ser. 54, No. 2, 279-319 (2019). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11D61 11D45 PDF BibTeX XML Cite \textit{V. Ziegler}, Glas. Mat., III. Ser. 54, No. 2, 279--319 (2019; Zbl 1479.11056) Full Text: DOI arXiv OpenURL
Erduvan, Fatih; Keskin, Refik Fibonacci and Lucas numbers as products of two repdigits. (English) Zbl 1447.11026 Turk. J. Math. 43, No. 5, 2142-2153 (2019). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Turk. J. Math. 43, No. 5, 2142--2153 (2019; Zbl 1447.11026) Full Text: Link OpenURL
Park, Jinseo; Lee, June Bok Some family of Diophantine pairs with Fibonacci numbers. (English) Zbl 1456.11032 Indian J. Pure Appl. Math. 50, No. 2, 367-384 (2019). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 11D25 11B39 PDF BibTeX XML Cite \textit{J. Park} and \textit{J. B. Lee}, Indian J. Pure Appl. Math. 50, No. 2, 367--384 (2019; Zbl 1456.11032) Full Text: DOI OpenURL
Adegbindin, Chèfiath; Luca, Florian; Togbé, Alain Lucas numbers as sums of two repdigits. (English) Zbl 1427.11013 Lith. Math. J. 59, No. 3, 295-304 (2019). MSC: 11B39 11J86 11A25 PDF BibTeX XML Cite \textit{C. Adegbindin} et al., Lith. Math. J. 59, No. 3, 295--304 (2019; Zbl 1427.11013) Full Text: DOI OpenURL
Hernández Hernández, Santos; Luca, Florian; Rivera, Luis Manuel On Pillai’s problem with the Fibonacci and Pell sequences. (English) Zbl 1440.11018 Bol. Soc. Mat. Mex., III. Ser. 25, No. 3, 495-507 (2019). Reviewer: Mahadi Ddamulira (Graz) MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{S. Hernández Hernández} et al., Bol. Soc. Mat. Mex., III. Ser. 25, No. 3, 495--507 (2019; Zbl 1440.11018) Full Text: DOI OpenURL
Kafle, Bir; Luca, Florian; Togbé, Alain \(X\)-coordinates of Pell equations which are Lucas numbers. (English) Zbl 07137965 Bol. Soc. Mat. Mex., III. Ser. 25, No. 3, 481-493 (2019). MSC: 11D09 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{B. Kafle} et al., Bol. Soc. Mat. Mex., III. Ser. 25, No. 3, 481--493 (2019; Zbl 07137965) Full Text: DOI OpenURL
Normenyo, Benedict Vasco; Kafle, Bir; Togbé, Alain Repdigits as sums of two Fibonacci numbers and two Lucas numbers. (English) Zbl 1467.11009 Integers 19, Paper A55, 16 p. (2019). MSC: 11A63 11B39 PDF BibTeX XML Cite \textit{B. V. Normenyo} et al., Integers 19, Paper A55, 16 p. (2019; Zbl 1467.11009) Full Text: Link OpenURL
Demirtürk Bitim, Bahar; Keskin, Refik On solutions of the Diophantine equation \(F_n-F_m=3^a\). (English) Zbl 1422.11024 Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 81, 10 p. (2019). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{B. Demirtürk Bitim} and \textit{R. Keskin}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 81, 10 p. (2019; Zbl 1422.11024) Full Text: DOI OpenURL
Rihane, Salah Eddine; Faye, Bernadette; Luca, Florian; Togbé, Alain On the exponential Diophantine equation \(P_n^x+P_{n+1}^x=P_m\). (English) Zbl 1455.11056 Turk. J. Math. 43, No. 3, 1640-1649 (2019). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Turk. J. Math. 43, No. 3, 1640--1649 (2019; Zbl 1455.11056) Full Text: DOI OpenURL
Erduvan, Fatih; Keskin, Refik Nonnegative integer solutions of the equation \(F_{n}-F_{m}=5^{a}\). (English) Zbl 1455.11054 Turk. J. Math. 43, No. 3, 1115-1123 (2019). MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Turk. J. Math. 43, No. 3, 1115--1123 (2019; Zbl 1455.11054) Full Text: DOI OpenURL
Luca, Florian; Normenyo, Benedict Vasco; Togbé, Alain Repdigits as sums of four Pell numbers. (English) Zbl 1455.11019 Bol. Soc. Mat. Mex., III. Ser. 25, No. 2, 249-266 (2019). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11A63 11B39 11J86 PDF BibTeX XML Cite \textit{F. Luca} et al., Bol. Soc. Mat. Mex., III. Ser. 25, No. 2, 249--266 (2019; Zbl 1455.11019) Full Text: DOI OpenURL
Mazumdar, Eshita; Rout, S. S. Prime powers in sums of terms of binary recurrence sequences. (English) Zbl 1447.11030 Monatsh. Math. 189, No. 4, 695-714 (2019). Reviewer: Lajos Hajdu (Debrecen) MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{E. Mazumdar} and \textit{S. S. Rout}, Monatsh. Math. 189, No. 4, 695--714 (2019; Zbl 1447.11030) Full Text: DOI arXiv OpenURL
Kafle, Bir; Luca, Florian; Montejano, Amanda; Szalay, László; Togbé, Alain On the \(x\)-coordinates of Pell equations which are products of two Fibonacci numbers. (English) Zbl 1420.11061 J. Number Theory 203, 310-333 (2019). MSC: 11D09 11B39 11J86 PDF BibTeX XML Cite \textit{B. Kafle} et al., J. Number Theory 203, 310--333 (2019; Zbl 1420.11061) Full Text: DOI OpenURL
Bravo, Jhon J.; Gómez, Carlos A.; Herrera, Jose L. On the intersection of \(k\)-Fibonacci and Pell numbers. (English) Zbl 1437.11024 Bull. Korean Math. Soc. 56, No. 2, 535-547 (2019). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., Bull. Korean Math. Soc. 56, No. 2, 535--547 (2019; Zbl 1437.11024) Full Text: DOI OpenURL
He, Bo; Odjoumani, Japhet; Togbé, Alain On a class of quartic Thue equations with three parameters. (English) Zbl 1473.11075 J. Number Theory 202, 347-387 (2019). MSC: 11D59 11D09 11D75 11A55 PDF BibTeX XML Cite \textit{B. He} et al., J. Number Theory 202, 347--387 (2019; Zbl 1473.11075) Full Text: DOI OpenURL
Bednařík, Dušan; Freitas, Gérsica; Marques, Diego; Trojovský, Pavel On the sum of squares of consecutive \(k\)-bonacci numbers which are \(l\)-bonacci numbers. (English) Zbl 1452.11021 Colloq. Math. 156, No. 1, 153-164 (2019). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11B39 11J86 11D99 PDF BibTeX XML Cite \textit{D. Bednařík} et al., Colloq. Math. 156, No. 1, 153--164 (2019; Zbl 1452.11021) Full Text: DOI OpenURL
Rihane, Salah Eddine; Hernane, Mohand Ouamar; Togbé, Alain The \(X\)-coordinates of Pell equations and Padovan numbers. (English) Zbl 1448.11069 Turk. J. Math. 43, No. 1, 207-223 (2019). MSC: 11D09 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Turk. J. Math. 43, No. 1, 207--223 (2019; Zbl 1448.11069) Full Text: DOI OpenURL
He, Bo; Togbé, Alain; Ziegler, Volker There is no Diophantine quintuple. (English) Zbl 1430.11044 Trans. Am. Math. Soc. 371, No. 9, 6665-6709 (2019). MSC: 11D09 11J86 11Y50 11J68 PDF BibTeX XML Cite \textit{B. He} et al., Trans. Am. Math. Soc. 371, No. 9, 6665--6709 (2019; Zbl 1430.11044) Full Text: DOI arXiv OpenURL
Gómez Ruiz, Carlos Alexis; Luca, Florian On the zero-multiplicity of a fifth-order linear recurrence. (English) Zbl 1450.11009 Int. J. Number Theory 15, No. 3, 585-595 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez Ruiz} and \textit{F. Luca}, Int. J. Number Theory 15, No. 3, 585--595 (2019; Zbl 1450.11009) Full Text: DOI OpenURL
García Lomelí, Ana Cecilia; Hernández Hernández, Santos Repdigits as sums of two Padovan numbers. (English) Zbl 1423.11127 J. Integer Seq. 22, No. 2, Article 19.2.3, 10 p. (2019). Reviewer: Mahadi Ddamulira (Graz) MSC: 11J86 11D61 11D45 PDF BibTeX XML Cite \textit{A. C. García Lomelí} and \textit{S. Hernández Hernández}, J. Integer Seq. 22, No. 2, Article 19.2.3, 10 p. (2019; Zbl 1423.11127) Full Text: Link OpenURL
Bliznac Trebješanin, Marija; Filipin, Alan Nonexistence of \(D(4)\)-quintuples. (English) Zbl 1434.11077 J. Number Theory 194, 170-217 (2019). MSC: 11D09 11D45 11J86 PDF BibTeX XML Cite \textit{M. Bliznac Trebješanin} and \textit{A. Filipin}, J. Number Theory 194, 170--217 (2019; Zbl 1434.11077) Full Text: DOI arXiv OpenURL
Ddamulira, Mahadi; Gómez, Carlos A.; Luca, Florian On a problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of 2. (English) Zbl 1437.11051 Monatsh. Math. 187, No. 4, 635-664 (2018). MSC: 11D61 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira} et al., Monatsh. Math. 187, No. 4, 635--664 (2018; Zbl 1437.11051) Full Text: DOI arXiv OpenURL
Normenyo, Benedict Vasco; Luca, Florian; Togb, Alain Repdigits as sums of four Fibonacci or Lucas numbers. (English) Zbl 1453.11006 J. Integer Seq. 21, No. 7, Article 18.7.7, 30 p. (2018). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{B. V. Normenyo} et al., J. Integer Seq. 21, No. 7, Article 18.7.7, 30 p. (2018; Zbl 1453.11006) Full Text: Link OpenURL
Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice Two-parameter families of uniquely extendable Diophantine triples. (English) Zbl 1419.11054 Sci. China, Math. 61, No. 3, 421-438 (2018). MSC: 11D09 11B37 11J68 11J86 PDF BibTeX XML Cite \textit{M. Cipu} et al., Sci. China, Math. 61, No. 3, 421--438 (2018; Zbl 1419.11054) Full Text: DOI arXiv OpenURL
Cipu, Mihai; Fujita, Yasutsugu; Miyazaki, Takafumi On the number of extensions of a Diophantine triple. (English) Zbl 1429.11065 Int. J. Number Theory 14, No. 3, 899-917 (2018). MSC: 11D45 11D09 11B37 11J86 PDF BibTeX XML Cite \textit{M. Cipu} et al., Int. J. Number Theory 14, No. 3, 899--917 (2018; Zbl 1429.11065) Full Text: DOI OpenURL
Fujita, Yasutsugu; Miyazaki, Takafumi The regularity of Diophantine quadruples. (English) Zbl 1417.11024 Trans. Am. Math. Soc. 370, No. 6, 3803-3831 (2018). MSC: 11D45 11D09 11B37 11J68 11J86 PDF BibTeX XML Cite \textit{Y. Fujita} and \textit{T. Miyazaki}, Trans. Am. Math. Soc. 370, No. 6, 3803--3831 (2018; Zbl 1417.11024) Full Text: DOI OpenURL
Luca, Florian; Togbé, Alain On the \(x\)-coordinates of Pell equations which are Fibonacci numbers. (English) Zbl 1416.11027 Math. Scand. 122, No. 1, 18-30 (2018). MSC: 11B39 11D09 PDF BibTeX XML Cite \textit{F. Luca} and \textit{A. Togbé}, Math. Scand. 122, No. 1, 18--30 (2018; Zbl 1416.11027) Full Text: DOI Link OpenURL
He, Bo; Pintér, Ákos; Togbé, Alain; Yang, Shichun Another generalization of a theorem of Baker and Davenport. (English) Zbl 1430.11043 J. Number Theory 182, 325-343 (2018). Reviewer: Volker Ziegler (Salzburg) MSC: 11D09 11D45 11B37 11J86 PDF BibTeX XML Cite \textit{B. He} et al., J. Number Theory 182, 325--343 (2018; Zbl 1430.11043) Full Text: DOI arXiv OpenURL
Bravo, Jhon J.; Faye, Bernadette; Luca, Florian Powers of two as sums of three Pell numbers. (English) Zbl 1433.11032 Taiwanese J. Math. 21, No. 4, 739-751 (2017). MSC: 11D45 11B39 11A25 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., Taiwanese J. Math. 21, No. 4, 739--751 (2017; Zbl 1433.11032) Full Text: DOI arXiv Euclid OpenURL
Meher, Nabin Kumar; Rout, Sudhansu Sekhar Linear combinations of prime powers in sums of terms of binary recurrence sequences. (English) Zbl 1420.11031 Lith. Math. J. 57, No. 4, 506-520 (2017). MSC: 11B37 11D72 11J86 PDF BibTeX XML Cite \textit{N. K. Meher} and \textit{S. S. Rout}, Lith. Math. J. 57, No. 4, 506--520 (2017; Zbl 1420.11031) Full Text: DOI arXiv OpenURL