Bravo, Eric Fernando Common values of Padovan and Perrin sequences. (English) Zbl 07735352 Mediterr. J. Math. 20, No. 5, Paper No. 268, 19 p. (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{E. F. Bravo}, Mediterr. J. Math. 20, No. 5, Paper No. 268, 19 p. (2023; Zbl 07735352) Full Text: DOI
Tripathy, Bibhu Prasad; Patel, Bijan Kumar Common values of generalized Fibonacci and Leonardo sequences. (English) Zbl 07732132 J. Integer Seq. 26, No. 6, Article 23.6.2, 14 p. (2023). MSC: 11B39 11J86 11R52 PDF BibTeX XML Cite \textit{B. P. Tripathy} and \textit{B. K. Patel}, J. Integer Seq. 26, No. 6, Article 23.6.2, 14 p. (2023; Zbl 07732132) Full Text: Link
Rayaguru, S. G.; Bravo, Jhon J. Balancing and Lucas-balancing numbers which are concatenation of three repdigits. (English) Zbl 07730201 Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 57, 20 p. (2023). MSC: 11J86 11B39 11B50 11D72 PDF BibTeX XML Cite \textit{S. G. Rayaguru} and \textit{J. J. Bravo}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 57, 20 p. (2023; Zbl 07730201) Full Text: DOI
Heintze, Sebastian; Tichy, Robert F.; Vukusic, Ingrid; Ziegler, Volker On the Diophantine equation \(U_n - b^m = c\). (English) Zbl 07729929 Math. Comput. 92, No. 344, 2825-2859 (2023). MSC: 11Y50 11D61 11B37 11J86 PDF BibTeX XML Cite \textit{S. Heintze} et al., Math. Comput. 92, No. 344, 2825--2859 (2023; Zbl 07729929) Full Text: DOI arXiv
Açikel, Abdullah; Irmak, Nurettin; Szalay, László The \(k\)-generalized Lucas numbers close to a power of 2. (English) Zbl 07729716 Math. Slovaca 73, No. 4, 871-882 (2023). MSC: 11J86 11B39 PDF BibTeX XML Cite \textit{A. Açikel} et al., Math. Slovaca 73, No. 4, 871--882 (2023; Zbl 07729716) Full Text: DOI
Zhou, Yuxuan Sums of multiplicative coefficients twisted by Frobenius traces. (English) Zbl 07725401 Lith. Math. J. 63, No. 2, 241-248 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L07 11F30 11G20 11J25 11J86 PDF BibTeX XML Cite \textit{Y. Zhou}, Lith. Math. J. 63, No. 2, 241--248 (2023; Zbl 07725401) Full Text: DOI
Allaart, Pieter; Jackson, Stephen; Jones, Taylor; Lambert, David On the existence of numbers with matching continued fraction and base \(b\) expansions. (English) Zbl 07720073 Monatsh. Math. 202, No. 1, 1-30 (2023). MSC: 11A63 11A55 11D75 11J86 28A78 PDF BibTeX XML Cite \textit{P. Allaart} et al., Monatsh. Math. 202, No. 1, 1--30 (2023; Zbl 07720073) Full Text: DOI arXiv
Behera, Mitashree; Ray, Prasanta Kumar Multiplicative dependence between Padovan and Perrin numbers. (English) Zbl 07716032 Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 52, 12 p. (2023). MSC: 11B37 11J86 11D61 PDF BibTeX XML Cite \textit{M. Behera} and \textit{P. K. Ray}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 52, 12 p. (2023; Zbl 07716032) Full Text: DOI
Adédji, Kouèssi Norbert Balancing numbers which are products of three repdigits in base \(b\). (English) Zbl 07716025 Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 45, 15 p. (2023). MSC: 11J68 11J86 PDF BibTeX XML Cite \textit{K. N. Adédji}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 45, 15 p. (2023; Zbl 07716025) Full Text: DOI
Balakrishnan, Jennifer S.; Craig, William; Ono, Ken; Tsai, Wei-Lun Variants of Lehmer’s speculation for newforms. (English) Zbl 07707522 Adv. Math. 428, Article ID 109141, 31 p. (2023). MSC: 11F11 11D61 11F30 11B39 11J86 PDF BibTeX XML Cite \textit{J. S. Balakrishnan} et al., Adv. Math. 428, Article ID 109141, 31 p. (2023; Zbl 07707522) Full Text: DOI arXiv
Rihane, Salah Eddine; Togbé, Alain \(k\)-Fibonacci numbers which are Padovan or Perrin numbers. (English) Zbl 07706226 Indian J. Pure Appl. Math. 54, No. 2, 568-582 (2023). MSC: 11B39 11J86 11D09 11D41 11B37 PDF BibTeX XML Cite \textit{S. E. Rihane} and \textit{A. Togbé}, Indian J. Pure Appl. Math. 54, No. 2, 568--582 (2023; Zbl 07706226) Full Text: DOI
Adédji, Kouèssi Norbert; Luca, Florian; Togbé, Alain On the solutions of the Diophantine equation \(P_n \pm \frac{a(10^m -1)}{9}=k!\). (English) Zbl 07686983 Eur. J. Math. 9, No. 2, Paper No. 34, 19 p. (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., Eur. J. Math. 9, No. 2, Paper No. 34, 19 p. (2023; Zbl 07686983) Full Text: DOI
Faye, Bernadette; Luca, Florian; Rihane, Salah Eddine; Togbé, Alain The Diophantine equations \(P_n^x+P_{n+1}^y=P_m^x\) or \(P_n^y+P_{n+1}^x=P_m^x\). (English) Zbl 1517.11010 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 89, 13 p. (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D99 11J86 PDF BibTeX XML Cite \textit{B. Faye} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 89, 13 p. (2023; Zbl 1517.11010) Full Text: DOI
Fujita, Yasutsugu; Le, Maohua Uniqueness conjecture on simultaneous Pell equations. (English) Zbl 07683783 Acta Arith. 207, No. 3, 279-296 (2023). MSC: 11D09 11B37 11J68 11J86 PDF BibTeX XML Cite \textit{Y. Fujita} and \textit{M. Le}, Acta Arith. 207, No. 3, 279--296 (2023; Zbl 07683783) Full Text: DOI
Marques, Diego; Oliveira, Marcelo On the transcendence of some powers related to \(U\)-numbers. (English) Zbl 07681498 Bull. Braz. Math. Soc. (N.S.) 54, No. 2, Paper No. 25, 9 p. (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J86 PDF BibTeX XML Cite \textit{D. Marques} and \textit{M. Oliveira}, Bull. Braz. Math. Soc. (N.S.) 54, No. 2, Paper No. 25, 9 p. (2023; Zbl 07681498) Full Text: DOI
Keskin, Refik; Erduvan, Fatih Repdigits as difference of two Pell or Pell-Lucas numbers. (English) Zbl 07680669 Korean J. Math. 31, No. 1, 63-73 (2023). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{R. Keskin} and \textit{F. Erduvan}, Korean J. Math. 31, No. 1, 63--73 (2023; Zbl 07680669) Full Text: DOI
Tripathy, Bibhu Prasad; Patel, Bijan Kumar Sums of three Fibonacci numbers close to a power of 2. (English) Zbl 1515.11018 Integers 23, Paper A4, 13 p. (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{B. P. Tripathy} and \textit{B. K. Patel}, Integers 23, Paper A4, 13 p. (2023; Zbl 1515.11018) Full Text: arXiv Link
Adédji, Kouèssi Norbert; Filipin, Alan; Rihane, Salah Eddine; Togbé, Alain Fibonacci or Lucas numbers that are concatenations of two \(g\)-repdigits. (English) Zbl 07674025 Fibonacci Q. 61, No. 1, 68-83 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., Fibonacci Q. 61, No. 1, 68--83 (2023; Zbl 07674025) Full Text: Link
Bliznac Trebješanin, Marija \(D(4)\)-triples with two largest elements in common. (English) Zbl 07673952 Math. Slovaca 73, No. 2, 343-352 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 11J68 11J86 PDF BibTeX XML Cite \textit{M. Bliznac Trebješanin}, Math. Slovaca 73, No. 2, 343--352 (2023; Zbl 07673952) Full Text: DOI arXiv
Meher, N. K.; Rout, S. S. Cullen numbers in sums of terms of recurrence sequence. (English) Zbl 07673399 Result. Math. 78, No. 3, Paper No. 102, 14 p. (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{N. K. Meher} and \textit{S. S. Rout}, Result. Math. 78, No. 3, Paper No. 102, 14 p. (2023; Zbl 07673399) Full Text: DOI arXiv
Normenyo, Benedict Vasco; Rihane, Salah Eddine; Togbé, Alain Common terms of \(k\)-Pell numbers and Padovan or Perrin numbers. (English) Zbl 07667699 Arab. J. Math. 12, No. 1, 219-232 (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{B. V. Normenyo} et al., Arab. J. Math. 12, No. 1, 219--232 (2023; Zbl 07667699) Full Text: DOI
Park, Jinseo Complete solution of Diophantine pairs induced by some Fibonacci formula. (English) Zbl 07667208 Algebra Colloq. 30, No. 1, 121-132 (2023). MSC: 11B39 11D09 11D45 11B37 11J68 11J86 PDF BibTeX XML Cite \textit{J. Park}, Algebra Colloq. 30, No. 1, 121--132 (2023; Zbl 07667208) Full Text: DOI
Hasanalizade, Elchin Sums of Fibonacci numbers close to a power of 2. (English) Zbl 1515.11016 Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 19, 11 p. (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{E. Hasanalizade}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 19, 11 p. (2023; Zbl 1515.11016) Full Text: DOI arXiv
Adédji, Kouèssi N.; Dossou-Yovo, Virgile; Rihane, Salah E.; Togbé, Alain Padovan or Perrin numbers that are concatenations of two distinct base \(b\) repdigits. (English) Zbl 1517.11093 Math. Slovaca 73, No. 1, 49-64 (2023). Reviewer: István Gaál (Debrecen) MSC: 11J86 11B37 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., Math. Slovaca 73, No. 1, 49--64 (2023; Zbl 1517.11093) Full Text: DOI
Du, Zhibin; da Fonseca, Carlos M. Root location for the characteristic polynomial of a Fibonacci type sequence. (English) Zbl 07655762 Czech. Math. J. 73, No. 1, 189-195 (2023). MSC: 11A63 11B39 11J86 PDF BibTeX XML Cite \textit{Z. Du} and \textit{C. M. da Fonseca}, Czech. Math. J. 73, No. 1, 189--195 (2023; Zbl 07655762) Full Text: DOI
Faye, Bernadette; Edjeou, Bilizimbéyé On the problem of Pillai with Pell numbers, Pell-Lucas numbers and powers of \(3\). (English) Zbl 1511.11036 Int. J. Number Theory 19, No. 1, 71-92 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{B. Faye} and \textit{B. Edjeou}, Int. J. Number Theory 19, No. 1, 71--92 (2023; Zbl 1511.11036) Full Text: DOI
Şiar, Zafer On the exponential Diophantine equation \(F_n^x\pm F_m^x=a\) with \(a\in\{ F_r, L_r\}\). (English) Zbl 1511.11023 Int. J. Number Theory 19, No. 1, 41-57 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{Z. Şiar}, Int. J. Number Theory 19, No. 1, 41--57 (2023; Zbl 1511.11023) Full Text: DOI
Gun, Sanoli; Kandhil, Neelam On an extension of a question of Baker. (English) Zbl 07654401 Int. J. Number Theory 19, No. 2, 375-388 (2023). Reviewer: Stéphane Fischler (Paris) MSC: 11J72 11J86 11M06 11M20 PDF BibTeX XML Cite \textit{S. Gun} and \textit{N. Kandhil}, Int. J. Number Theory 19, No. 2, 375--388 (2023; Zbl 07654401) Full Text: DOI arXiv
Vukusic, Ingrid; Ziegler, Volker On a family of unit equations over simplest cubic fields. (English. French summary) Zbl 1516.11042 J. Théor. Nombres Bordx. 34, No. 3, 705-718 (2023). Reviewer: Anitha Srinivasan (Madrid) MSC: 11D61 11D75 11J86 PDF BibTeX XML Cite \textit{I. Vukusic} and \textit{V. Ziegler}, J. Théor. Nombres Bordx. 34, No. 3, 705--718 (2023; Zbl 1516.11042) Full Text: DOI arXiv
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian On a variant of an identity relating cubes of three consecutive Fibonacci numbers. (English) Zbl 1516.11023 Bull. Malays. Math. Sci. Soc. (2) 46, No. 2, Paper No. 47, 31 p. (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Bull. Malays. Math. Sci. Soc. (2) 46, No. 2, Paper No. 47, 31 p. (2023; Zbl 1516.11023) Full Text: DOI
Allen, Demi; Chow, Sam; Yu, Han Dyadic approximation in the middle-third Cantor set. (English) Zbl 1507.11062 Sel. Math., New Ser. 29, No. 1, Paper No. 11, 49 p. (2023). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11J83 11K60 28A78 11J86 11K70 28A80 PDF BibTeX XML Cite \textit{D. Allen} et al., Sel. Math., New Ser. 29, No. 1, Paper No. 11, 49 p. (2023; Zbl 1507.11062) Full Text: DOI arXiv
Chatterjee, Tapas; Dhillon, Sonika A note on a variant of a conjecture of Rohrlich. (English) Zbl 07738300 Mathematika 68, No. 2, 400-415 (2022). MSC: 11J81 11J86 11J91 PDF BibTeX XML Cite \textit{T. Chatterjee} and \textit{S. Dhillon}, Mathematika 68, No. 2, 400--415 (2022; Zbl 07738300) Full Text: DOI
Erduvan, Fatih; Keskin, Refik Fibonacci numbers which are concatenations of three repdigits. (English) Zbl 07735898 Mat. Vesn. 74, No. 3, 155-162 (2022). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Mat. Vesn. 74, No. 3, 155--162 (2022; Zbl 07735898) Full Text: Link
Bonciocat, Nicolae Ciprian; Cipu, Mihai; Mignotte, Maurice There is no Diophantine \(D(-1)\)-quadruple. (English) Zbl 07730373 J. Lond. Math. Soc., II. Ser. 105, No. 1, 63-99 (2022). MSC: 11D09 11D45 11B37 11J86 PDF BibTeX XML Cite \textit{N. C. Bonciocat} et al., J. Lond. Math. Soc., II. Ser. 105, No. 1, 63--99 (2022; Zbl 07730373) Full Text: DOI arXiv
Cipu, Mihai; Kientega, Gérard; Mignotte, Maurice; Nikiema, Salifou On the height of Graeffe transforms of a polynomial with integer coefficients. (Sur la hauteur des transformées de Graeffe d’un polynôme á coefficients entiers.) (French) Zbl 07691468 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 2, 213-231 (2022). MSC: 11D09 11B37 11J86 PDF BibTeX XML Cite \textit{M. Cipu} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 2, 213--231 (2022; Zbl 07691468)
Alahmadi, Adel; Luca, Florian On the Diophantine equation \((5pn^2- 1)^x + (p(p- 5)n^2 + 1)^y = (pn)^z\). (English) Zbl 07691456 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 1, 3-12 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{A. Alahmadi} and \textit{F. Luca}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 1, 3--12 (2022; Zbl 07691456)
Tiebekabe, Pagdame; Diouf, Ismaïla On the Diophantine equation \(\sum^5_{k=1}F_{n_k}=2^a\). (English) Zbl 07676376 Fibonacci Q. 60, No. 5, Spec. Iss., 384-400 (2022). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{P. Tiebekabe} and \textit{I. Diouf}, Fibonacci Q. 60, No. 5, 384--400 (2022; Zbl 07676376) Full Text: arXiv Link
Ry, Prasanta Kumar; Bhoi, Kisan On the Diophantine equation \(N_n=x^a\pm x^b+1\). (English) Zbl 07676371 Fibonacci Q. 60, No. 5, Spec. Iss., 316-323 (2022). MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{P. K. Ry} and \textit{K. Bhoi}, Fibonacci Q. 60, No. 5, 316--323 (2022; Zbl 07676371) Full Text: Link
Luca, Florian Markov triples with two Fibonacci components. (English) Zbl 07673828 Rend. Semin. Mat. Univ. Padova 148, 213-243 (2022). MSC: 11B39 11D61 PDF BibTeX XML Cite \textit{F. Luca}, Rend. Semin. Mat. Univ. Padova 148, 213--243 (2022; Zbl 07673828) Full Text: DOI
Rihane, Salah Eddine; Kafle, Bir; Togbé, Alain Padovan and Perrin numbers of the form \(x^a\pm x^b+1\). (English) Zbl 07670591 Ann. Math. Inform. 55, 158-171 (2022). MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Ann. Math. Inform. 55, 158--171 (2022; Zbl 07670591) Full Text: DOI
Şiar, Zafer; Keskin, Refik \(k\)-generalized pell numbers which are repdigits in base \(b\). (English) Zbl 07658164 Turk. J. Math. 46, No. 8, 3083-3094 (2022). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{Z. Şiar} and \textit{R. Keskin}, Turk. J. Math. 46, No. 8, 3083--3094 (2022; Zbl 07658164) Full Text: DOI
Alan, Murat Mersenne numbers as a difference of two Lucas numbers. (English) Zbl 07655799 Commentat. Math. Univ. Carol. 63, No. 3, 269-276 (2022). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{M. Alan}, Commentat. Math. Univ. Carol. 63, No. 3, 269--276 (2022; Zbl 07655799) Full Text: DOI
Meher, N. K.; Rout, S. S. \(S\)-parts of sums of terms of linear recurrence sequences. (English) Zbl 07650960 Acta Math. Hung. 168, No. 2, 553-571 (2022). Reviewer: István Pink (Debrecen) MSC: 11B37 11D61 11J86 PDF BibTeX XML Cite \textit{N. K. Meher} and \textit{S. S. Rout}, Acta Math. Hung. 168, No. 2, 553--571 (2022; Zbl 07650960) Full Text: DOI arXiv
Gómez, Carlos A. On the Diophantine equation \(F_n = x^a \pm x^b \pm 1\) in Mersenne and Fermat numbers. (English) Zbl 07647021 Tamkang J. Math. 53, No. 4, 293-302 (2022). MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez}, Tamkang J. Math. 53, No. 4, 293--302 (2022; Zbl 07647021) Full Text: DOI
Filipin, Alan; Jukić, Mirela; Soldo, Ivan On \(D(-1)\)-triples \(\{1,4p^2+1,1-p\}\) in the ring \(\mathbb{Z}[\sqrt{-p}]\) with a prime \(p\). (English) Zbl 07644665 Period. Math. Hung. 85, No. 2, 292-302 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D09 11R11 11J86 PDF BibTeX XML Cite \textit{A. Filipin} et al., Period. Math. Hung. 85, No. 2, 292--302 (2022; Zbl 07644665) Full Text: DOI
Batte, Herbert; Ddamulira, Mahadi; Kasozi, Juma; Luca, Florian On the multiplicity in Pillai’s problem with Fibonacci numbers and powers of a fixed prime. (English) Zbl 07644252 Glas. Mat., III. Ser. 57, No. 2, 185-201 (2022). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{H. Batte} et al., Glas. Mat., III. Ser. 57, No. 2, 185--201 (2022; Zbl 07644252) Full Text: DOI arXiv
Faye, Bernadette; Gómez, Carlos A.; Luca, Florian; Rihane, Salah E.; Togbé, Alain Complete solution of the exponential Diophantine equation \(P_n^x +P_{n+1}^x =P_m^y\). (English) Zbl 1510.11093 Math. Commun. 27, No. 2, 163-185 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{B. Faye} et al., Math. Commun. 27, No. 2, 163--185 (2022; Zbl 1510.11093) Full Text: 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 PDF BibTeX XML Cite \textit{M. Le} and \textit{G. Soydan}, Math. Commun. 27, No. 2, 137--150 (2022; Zbl 1510.11089) Full Text: arXiv Link
Erduvan, F.; Keskin, R. Pell and Pell-Lucas numbers as product of two repdigits. (English) Zbl 1506.11026 Math. Notes 112, No. 6, 861-871 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Math. Notes 112, No. 6, 861--871 (2022; Zbl 1506.11026) Full Text: DOI
Bhoi, Kisan; Patel, Bijan Kumar; Ray, Prasanta Kumar Narayana numbers as sums of two base \(b\) repdigits. (English) Zbl 1510.11019 Acta Comment. Univ. Tartu. Math. 26, No. 2, 183-192 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11A25 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{K. Bhoi} et al., Acta Comment. Univ. Tartu. Math. 26, No. 2, 183--192 (2022; Zbl 1510.11019) Full Text: DOI
Bhoi, Kisan; Ray, Prasanta Kumar On the \(x\)-coordinates of Pell equations which are Narayana numbers. (English) Zbl 1506.11024 Integers 22, Paper A107, 13 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D09 11J86 PDF BibTeX XML Cite \textit{K. Bhoi} and \textit{P. K. Ray}, Integers 22, Paper A107, 13 p. (2022; Zbl 1506.11024) Full Text: Link
Rihane, Salah Eddine On the Diophantine equations \(F_N=P_M\pm P_{\ell}\) and \(P_n= F_m\pm F_{\ell}\) involving Fibonacci and Pell numbers. (English) Zbl 1511.11022 Integers 22, Paper A100, 12 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D09 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane}, Integers 22, Paper A100, 12 p. (2022; Zbl 1511.11022) Full Text: Link
Luca, Florian; Tchammou, Euloge; Togbé, Alain On an exponential Diophantine equation involving powers of consecutive terms of the Padovan sequence. (English) Zbl 1513.11107 Publ. Math. Debr. 101, No. 3-4, 451-475 (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{F. Luca} et al., Publ. Math. Debr. 101, No. 3--4, 451--475 (2022; Zbl 1513.11107) Full Text: DOI
Abu Muriefah, Fadwa S.; Le, Maohua; Soydan, Gökhan A note on the Diophantine equation \(x^2 =4p^n -4p^m +\ell^2\). (English) Zbl 1505.11057 Indian J. Pure Appl. Math. 53, No. 4, 915-922 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{F. S. Abu Muriefah} et al., Indian J. Pure Appl. Math. 53, No. 4, 915--922 (2022; Zbl 1505.11057) Full Text: DOI
Batte, Herbert; Chalebgwa, Taboka P.; Ddamulira, Mahadi Perrin numbers that are concatenations of two repdigits. (English) Zbl 07610698 Arab. J. Math. 11, No. 3, 469-478 (2022). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{H. Batte} et al., Arab. J. Math. 11, No. 3, 469--478 (2022; Zbl 07610698) Full Text: DOI arXiv
Bravo, Eric F.; Bravo, Jhon J.; Luca, Florian On the multiplicities of Padovan-type sequences. (English) Zbl 1502.11023 Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1519-1549 (2022). MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{E. F. Bravo} et al., Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1519--1549 (2022; Zbl 1502.11023) Full Text: DOI
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 PDF BibTeX XML Cite \textit{S. Fei} and \textit{J. Luo}, Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1499--1517 (2022; Zbl 1502.11037) Full Text: DOI
Rihane, Salah Eddine; Tchammou, Euloge B.; Togbé, Alain Pell-Lucas numbers as sum of same power of consecutive Pell numbers. (English) Zbl 1505.11031 Mediterr. J. Math. 19, No. 6, Paper No. 252, 17 p. (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Mediterr. J. Math. 19, No. 6, Paper No. 252, 17 p. (2022; Zbl 1505.11031) Full Text: DOI
Pethő, Attila Common values of a class of linear recurrences. (English) Zbl 07605380 Indag. Math., New Ser. 33, No. 6, 1172-1188 (2022). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11J86 15A15 11B57 PDF BibTeX XML Cite \textit{A. Pethő}, Indag. Math., New Ser. 33, No. 6, 1172--1188 (2022; Zbl 07605380) Full Text: DOI arXiv
Adédji, Kouèssi Norbert; Filipin, Alan; Togbé, Alain The problem of the extension of \(D(4)\)-triple \(\{1, b, c\}\). (English) Zbl 07603562 Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 551(26), 21-43 (2022). MSC: 11D09 11B37 11J68 11J86 11Y65 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 551(26), 21--43 (2022; Zbl 07603562) Full Text: DOI
Alan, Murat On concatenations of Fibonacci and Lucas numbers. (English) Zbl 1508.11016 Bull. Iran. Math. Soc. 48, No. 5, 2725-2741 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{M. Alan}, Bull. Iran. Math. Soc. 48, No. 5, 2725--2741 (2022; Zbl 1508.11016) Full Text: DOI
Hashim, Hayder Raheem; Tengely, Szabolcs Lucas sequences and repdigits. (English) Zbl 07584126 Math. Bohem. 147, No. 3, 301-318 (2022). MSC: 11D72 11B37 11B39 11A63 11J86 PDF BibTeX XML Cite \textit{H. R. Hashim} and \textit{S. Tengely}, Math. Bohem. 147, No. 3, 301--318 (2022; Zbl 07584126) 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 PDF BibTeX XML Cite \textit{Y. Fujita} and \textit{M. Le}, Turk. J. Math. 46, No. 4, 1224--1232 (2022; Zbl 1517.11026) Full Text: DOI
Şiar, Zafer; Keskin, Refik \(k\)-generalized Pell numbers which are concatenation of two repdigits. (English) Zbl 1501.11031 Mediterr. J. Math. 19, No. 4, Paper No. 180, 17 p. (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{Z. Şiar} and \textit{R. Keskin}, Mediterr. J. Math. 19, No. 4, Paper No. 180, 17 p. (2022; Zbl 1501.11031) Full Text: DOI
Gómez, Carlos Alexis; Gómez, Jhonny Carpediem; Luca, Florian On the exponential Diophantine equation \(F_{n+1}^x - F_{n-1}^x = F_m^y\). (English) Zbl 1497.11083 Taiwanese J. Math. 26, No. 4, 685-712 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Taiwanese J. Math. 26, No. 4, 685--712 (2022; Zbl 1497.11083) Full Text: DOI Link
Terai, Nobuhiro; Fujita, Yasutsugu On exponential Diophantine equations concerning Pythagorean triples. (English) Zbl 1513.11114 Publ. Math. Debr. 101, No. 1-2, 147-168 (2022). Reviewer: István Gaál (Debrecen) MSC: 11D61 11D41 11J86 PDF BibTeX XML Cite \textit{N. Terai} and \textit{Y. Fujita}, Publ. Math. Debr. 101, No. 1--2, 147--168 (2022; Zbl 1513.11114) Full Text: DOI
Adžaga, Nikola; Filipin, Alan; Fujita, Yasutsugu The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple. (English) Zbl 1513.11092 Period. Math. Hung. 85, No. 1, 148-163 (2022). MSC: 11D09 11B37 11G30 11J68 11J86 PDF BibTeX XML Cite \textit{N. Adžaga} et al., Period. Math. Hung. 85, No. 1, 148--163 (2022; Zbl 1513.11092) Full Text: DOI arXiv
Chiriac, Liubomir; Jorza, Andrei The trace of \(T_2\) takes no repeated values. (English) Zbl 1514.11027 Indag. Math., New Ser. 33, No. 5, 936-945 (2022). Reviewer: İlker İnam (Bilecik) MSC: 11F11 11F60 11J86 PDF BibTeX XML Cite \textit{L. Chiriac} and \textit{A. Jorza}, Indag. Math., New Ser. 33, No. 5, 936--945 (2022; Zbl 1514.11027) Full Text: DOI arXiv
Chatterjee, Tapas; Dhillon, Sonika On a conjecture of Murty-Saradha about digamma values. (English) Zbl 1502.11080 Monatsh. Math. 199, No. 1, 23-43 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J72 11J86 11J91 11R27 PDF BibTeX XML Cite \textit{T. Chatterjee} and \textit{S. Dhillon}, Monatsh. Math. 199, No. 1, 23--43 (2022; Zbl 1502.11080) Full Text: DOI
Adédji, Kouèssi Norbert; Luca, Florian; Togbé, Alain On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\). (English) Zbl 1498.11106 J. Number Theory 240, 593-610 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D99 11B39 11J86 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., J. Number Theory 240, 593--610 (2022; Zbl 1498.11106) Full Text: DOI
Rihane, Salah Eddine; Togbé, Alain Padovan and Perrin numbers as product of two repdigits. (English) Zbl 1496.11030 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 51, 16 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} and \textit{A. Togbé}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 51, 16 p. (2022; Zbl 1496.11030) Full Text: DOI
Alahmadi, Adel; Luca, Florian On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials. (English) Zbl 1500.11029 Int. J. Number Theory 18, No. 9, 1887-1894 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{A. Alahmadi} and \textit{F. Luca}, Int. J. Number Theory 18, No. 9, 1887--1894 (2022; Zbl 1500.11029) Full Text: DOI
Erduvan, Fatih; Keskin, Refik; Luca, Florian Fibonacci and Lucas numbers as difference of two repdigits. (English) Zbl 1497.11037 Rend. Circ. Mat. Palermo (2) 71, No. 2, 575-589 (2022). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} et al., Rend. Circ. Mat. Palermo (2) 71, No. 2, 575--589 (2022; Zbl 1497.11037) Full Text: DOI
Luca, Florian; Tchammou, Euloge; Togbé, Alain On the exponential Diophantine equation \(F_n^x+F_{n+1}^x+\cdots+F_{n+k-1}^x=F_m\). (English) Zbl 1496.11027 Funct. Approximatio, Comment. Math. 66, No. 2, 139-159 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{F. Luca} et al., Funct. Approximatio, Comment. Math. 66, No. 2, 139--159 (2022; Zbl 1496.11027) Full Text: DOI
Bhoi, Kisan; Ray, Prasanta Kumar Fermat numbers in Narayana’s cows sequence. (English) Zbl 1493.11032 Integers 22, Paper A16, 7 p. (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{K. Bhoi} and \textit{P. K. Ray}, Integers 22, Paper A16, 7 p. (2022; Zbl 1493.11032) Full Text: Link
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 PDF BibTeX XML Cite \textit{A. Ghadermarzi}, Bull. Iran. Math. Soc. 48, No. 3, 933--949 (2022; Zbl 1505.11059) Full Text: DOI arXiv
Miyazaki, Takafumi; Sudo, Masaki; Terai, Nobuhiro A purely exponential Diophantine equation in three unknowns. (English) Zbl 1513.11108 Period. Math. Hung. 84, No. 2, 287-298 (2022). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{T. Miyazaki} et al., Period. Math. Hung. 84, No. 2, 287--298 (2022; Zbl 1513.11108) Full Text: DOI
Tichy, R.; Vukusic, I.; Yang, D.; Ziegler, V. On a variant of Pillai’s problem with transcendental numbers. (English) Zbl 1513.11122 Acta Math. Hung. 166, No. 2, 650-666 (2022); correction ibid. 167, No. 1, 364 (2022). Reviewer: Günter Lettl (Graz) MSC: 11D75 11D61 11D45 PDF BibTeX XML Cite \textit{R. Tichy} et al., Acta Math. Hung. 166, No. 2, 650--666 (2022; Zbl 1513.11122) Full Text: DOI arXiv
Adédji, K. N.; Filipin, A.; Togbé, A. The extension of the \(D(-k)\)-triple \(\{1,k,k+1\}\) to a quadruple. (English) Zbl 1513.11104 Acta Math. Hung. 166, No. 2, 407-422 (2022). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D61 11B39 11J86 11Y50 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., Acta Math. Hung. 166, No. 2, 407--422 (2022; Zbl 1513.11104) Full Text: DOI
Adédji, Kouessi Norbert; Filipin, Alan; Togbé, Alain On the family of Diophantine pairs \(\{P_{2K}, 2P_{2k+2}\}\). (English) Zbl 1496.11049 Fibonacci Q. 60, No. 1, 25-39 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11D09 11B37 11J86 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., Fibonacci Q. 60, No. 1, 25--39 (2022; Zbl 1496.11049) Full Text: Link
Gueye, Alioune; Rihane, Salah Eddine; Togbé, Alain Coincidence between \(k\)-Fibonacci numbers and products of two Fermat numbers. (English) Zbl 1497.11085 Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 541-552 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{A. Gueye} et al., Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 541--552 (2022; Zbl 1497.11085) Full Text: DOI
Acikel, Abdullah; Irmak, Nurettin Common terms of Tribonacci and Perrin sequences. (English) Zbl 1499.11043 Miskolc Math. Notes 23, No. 1, 5-11 (2022). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{A. Acikel} and \textit{N. Irmak}, Miskolc Math. Notes 23, No. 1, 5--11 (2022; Zbl 1499.11043) Full Text: DOI
Rihane, Salah Eddine; Togbé, Alain An exponential Diophantine equation involving the sum or difference of powers of two Pell numbers. (English) Zbl 1496.11029 Math. Slovaca 72, No. 3, 601-610 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} and \textit{A. Togbé}, Math. Slovaca 72, No. 3, 601--610 (2022; Zbl 1496.11029) Full Text: DOI
Kandhil, Neelam A note on Dedekind zeta values at \(1/2\). (English) Zbl 1494.11060 Int. J. Number Theory 18, No. 6, 1289-1299 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J86 11J91 11M41 PDF BibTeX XML Cite \textit{N. Kandhil}, Int. J. Number Theory 18, No. 6, 1289--1299 (2022; Zbl 1494.11060) Full Text: DOI
Fujita, Yasutsugu; Le, Maohua A note on the number of solutions of the Pillai type equation \(| a^x - b^y | = k\). (English) Zbl 1497.11082 J. Number Theory 239, 40-56 (2022). MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{Y. Fujita} and \textit{M. Le}, J. Number Theory 239, 40--56 (2022; Zbl 1497.11082) Full Text: DOI
Şiar, Zafer; Erduvan, Fatih; Keskin, Refik Repdigits base \(b\) as difference of two Fibonacci numbers. (English) Zbl 1495.11014 J. Math. Study 55, No. 1, 84-94 (2022). MSC: 11A63 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{Z. Şiar} et al., J. Math. Study 55, No. 1, 84--94 (2022; Zbl 1495.11014) Full Text: DOI
Kreutz, Alessandra; Marques, Diego; Trojovský, Pavel On Fibonacci numbers as sum of powers of two consecutive tribonacci numbers. (English) Zbl 1496.11024 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 119, 16 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{A. Kreutz} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 119, 16 p. (2022; Zbl 1496.11024) Full Text: DOI
Bugeaud, Yann Fractional parts of powers of real algebraic numbers. (English) Zbl 1495.11084 C. R., Math., Acad. Sci. Paris 360, 459-466 (2022). Reviewer: István Pink (Debrecen) MSC: 11J68 11J86 11R06 PDF BibTeX XML Cite \textit{Y. Bugeaud}, C. R., Math., Acad. Sci. Paris 360, 459--466 (2022; Zbl 1495.11084) Full Text: DOI arXiv
Alan, Murat; Alan, Kadriye Simsek Mersenne numbers which are products of two Pell numbers. (English) Zbl 1497.11035 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 38, 9 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) 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 1497.11035) Full Text: DOI
Adžaga, Nikola; Filipin, Alan; Franušić, Zrinka On the extensions of the Diophantine triples in Gaussian integers. (English) Zbl 1497.11068 Monatsh. Math. 197, No. 4, 535-563 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D09 11J68 11J86 PDF BibTeX XML Cite \textit{N. Adžaga} et al., Monatsh. Math. 197, No. 4, 535--563 (2022; Zbl 1497.11068) Full Text: DOI arXiv
García, Jonathan; Gómez, Carlos A. On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers. (English) Zbl 1490.11024 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 1490.11024) Full Text: DOI
Bajpai, Prajeet; Bennett, Michael A. A note on pencils of norm-form equations. (English) Zbl 07517642 Acta Arith. 203, No. 1, 19-26 (2022). Reviewer: Gökhan Soydan (Bursa) MSC: 11D57 11D61 11J86 11R16 PDF BibTeX XML Cite \textit{P. Bajpai} and \textit{M. A. Bennett}, Acta Arith. 203, No. 1, 19--26 (2022; Zbl 07517642) Full Text: DOI arXiv
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 1501.11028 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 36, 12 p. (2022). Reviewer: Florian Luca (Johannesburg) 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 1501.11028) Full Text: DOI
Balakrishnan, Jennifer S.; Craig, William; Ono, Ken Variations of Lehmer’s conjecture for Ramanujan’s tau-function. (English) Zbl 1497.11080 J. Number Theory 237, 3-14 (2022). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 11B39 11D41 11J86 PDF BibTeX XML Cite \textit{J. S. Balakrishnan} et al., J. Number Theory 237, 3--14 (2022; Zbl 1497.11080) Full Text: DOI arXiv
Baker, Alan [Masser, David] Transcendental number theory. With a new foreword by David Masser. Reprint of the 1990 paperback edition. (English) Zbl 1496.11001 Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-00-922994-4/pbk; 978-1-00-922993-7/ebook). xiv, 169 p. (2022). MSC: 11-01 01A75 11J81 11J86 11J85 11J89 11J83 11J68 11D41 11J91 11R29 11K60 11R11 PDF BibTeX XML Cite \textit{A. Baker}, Transcendental number theory. With a new foreword by David Masser. Reprint of the 1990 paperback edition. Cambridge: Cambridge University Press (2022; Zbl 1496.11001) Full Text: DOI
Murty, M. Ram; Pathak, Siddhi The Okada space and vanishing of \(L(1,f)\). (English) Zbl 1491.11071 Funct. Approximatio, Comment. Math. 66, No. 1, 35-57 (2022). Reviewer: Jan Šustek (Ostrava) MSC: 11J72 11J86 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{S. Pathak}, Funct. Approximatio, Comment. Math. 66, No. 1, 35--57 (2022; Zbl 1491.11071) Full Text: DOI
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 1498.11102 Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 24, 12 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) 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 1498.11102) Full Text: DOI
Vukusic, Ingrid; Ziegler, Volker Consecutive tuples of multiplicatively dependent integers. (English) Zbl 1500.11068 J. Number Theory 236, 280-307 (2022). Reviewer: Artūras Dubickas (Vilnius) MSC: 11N25 11D61 11J86 PDF BibTeX XML Cite \textit{I. Vukusic} and \textit{V. Ziegler}, J. Number Theory 236, 280--307 (2022; Zbl 1500.11068) Full Text: DOI arXiv
García Lomelí, Ana Cecilia; Hernández Hernández, Santos; Luca, Florian Fibonacci numbers as sums of two Padovan numbers. (English) Zbl 1499.11064 Afr. Mat. 33, No. 1, Paper No. 14, 10 p. (2022). MSC: 11B39 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 1499.11064) Full Text: DOI
Rihane, Salah Eddine \(k\)-Pell numbers as product of two repdigits. (English) Zbl 1503.11040 Mediterr. J. Math. 19, No. 2, Paper No. 61, 14 p. (2022). Reviewer: Sai Gopal Rayaguru (Rourkela) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane}, Mediterr. J. Math. 19, No. 2, Paper No. 61, 14 p. (2022; Zbl 1503.11040) Full Text: DOI