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). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{S. Kebli} et al., J. Number Theory 220, 107--127 (2021; Zbl 07276978) Full Text: DOI
García, Jonathan; Gómez, Carlos A.; Luca, Florian On the zero-multiplicity of the \(k\)-generalized Fibonacci sequence. (English) Zbl 07314948 J. Difference Equ. Appl. 26, No. 11-12, 1564-1578 (2020). MSC: 11B37 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{J. García} et al., J. Difference Equ. Appl. 26, No. 11--12, 1564--1578 (2020; Zbl 07314948) Full Text: DOI
Gómez, Carlos A.; Luca, Florian; Zottor, Faith Shadow On \(X\)-coordinates of Pell equations which are repdigits. (English) Zbl 07304544 Res. Number Theory 6, No. 4, Paper No. 41, 21 p. (2020). 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 07304544) Full Text: DOI
Earp-Lynch, B.; Earp-Lynch, S.; Kihel, O. On certain \(D(9)\) and \(D(64)\) Diophantine triples. (English) Zbl 07301196 Acta Math. Hung. 162, No. 2, 483-517 (2020). 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 07301196) Full Text: DOI
Fu, Ruiqin; Yang, Hai A note on the exceptional solutions of Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. (English) Zbl 07301189 Period. Math. Hung. 81, No. 2, 275-283 (2020). MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{R. Fu} and \textit{H. Yang}, Period. Math. Hung. 81, No. 2, 275--283 (2020; Zbl 07301189) Full Text: DOI
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian Multiplicative dependence between \(k\)-Fibonacci and \(k\)-Lucas numbers. (English) Zbl 07301185 Period. Math. Hung. 81, No. 2, 217-233 (2020). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Period. Math. Hung. 81, No. 2, 217--233 (2020; Zbl 07301185) 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 07299801 Math. Slovaca 70, No. 6, 1333-1348 (2020). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{F. Luca} et al., Math. Slovaca 70, No. 6, 1333--1348 (2020; Zbl 07299801) Full Text: DOI
Luca, Florian; Mabaso, Sibusiso; Stănică, Pantelimon On the prime factors of the iterates of the Ramanujan \(\tau\)-function. (English) Zbl 07298494 Proc. Edinb. Math. Soc., II. Ser. 63, No. 4, 1031-1047 (2020). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{F. Luca} et al., Proc. Edinb. Math. Soc., II. Ser. 63, No. 4, 1031--1047 (2020; Zbl 07298494) Full Text: DOI
Luca, F.; Szalay, L. On the equation \((2^k-1)(3^l-1)=5^m-1\). (English) Zbl 07293028 Azerb. J. Math. 10, No. 2, 3-11 (2020). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{F. Luca} and \textit{L. Szalay}, Azerb. J. Math. 10, No. 2, 3--11 (2020; Zbl 07293028) Full Text: Link
Ismailova, Leman G. On extremality of a class of algebraic varieties. (English) Zbl 07291764 J. Contemp. Appl. Math. 10, No. 1, 3-9 (2020). MSC: 11J83 11J86 PDF BibTeX XML Cite \textit{L. G. Ismailova}, J. Contemp. Appl. Math. 10, No. 1, 3--9 (2020; Zbl 07291764) Full Text: Link
Alahmadi, Adel; Altassan, Alaa; Luca, Florian; Shoaib, Hatoon Products of \(k\)-Fibonacci numbers which are rep-digits. (English) Zbl 07287377 Publ. Math. 97, No. 1-2, 101-115 (2020). Reviewer: Jürgen Spilker (Freiburg im Breisgau) MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{A. Alahmadi} et al., Publ. Math. 97, No. 1--2, 101--115 (2020; Zbl 07287377) Full Text: DOI
Adegbindin, Chèfiath A.; Togbé, Alain Can a Lucas number be a sum of three repdigits? (English) Zbl 07286011 Commentat. Math. Univ. Carol. 61, No. 3, 383-396 (2020). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{C. A. Adegbindin} and \textit{A. Togbé}, Commentat. Math. Univ. Carol. 61, No. 3, 383--396 (2020; Zbl 07286011) Full Text: DOI
Bravo, Jhon J.; Herrera, Jose L. Repdigits in generalized Pell sequences. (English) Zbl 07285963 Arch. Math., Brno 56, No. 4, 249-262 (2020). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} and \textit{J. L. Herrera}, Arch. Math., Brno 56, No. 4, 249--262 (2020; Zbl 07285963) Full Text: DOI
Gao, Xiang; Wen, Shengyou Note on Fourier-Stieltjes coefficients of coin-tossing measures. (English) Zbl 1453.42006 Bull. Aust. Math. Soc. 102, No. 3, 479-489 (2020). MSC: 42A38 11J86 60A10 PDF BibTeX XML Cite \textit{X. Gao} and \textit{S. Wen}, Bull. Aust. Math. Soc. 102, No. 3, 479--489 (2020; Zbl 1453.42006) Full Text: DOI
Bravo, Jhon J.; Díaz, Maribel; Luca, Florian Ratios of sums of two Fibonacci numbers equal to powers of 2. (English) Zbl 07273454 Math. Commun. 25, No. 2, 185-199 (2020). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., Math. Commun. 25, No. 2, 185--199 (2020; Zbl 07273454) Full Text: Link
David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto Can polylogarithms at algebraic points be linearly independent? (English) Zbl 07272357 Mosc. J. Comb. Number Theory 9, No. 4, 389-406 (2020). Reviewer: István Gaál (Debrecen) MSC: 11G55 11J72 11J82 11J86 11M35 11D75 11D88 PDF BibTeX XML Cite \textit{S. David} et al., Mosc. J. Comb. Number Theory 9, No. 4, 389--406 (2020; Zbl 07272357) Full Text: DOI
Bugeaud, Yann Effective simultaneous rational approximation to pairs of real quadratic numbers. (English) Zbl 07272354 Mosc. J. Comb. Number Theory 9, No. 4, 353-360 (2020). Reviewer: István Gaál (Debrecen) MSC: 11J13 11D09 11J86 PDF BibTeX XML Cite \textit{Y. Bugeaud}, Mosc. J. Comb. Number Theory 9, No. 4, 353--360 (2020; Zbl 07272354) Full Text: DOI
Ddamulira, Mahadi; Luca, Florian The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II. (English) Zbl 07271355 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 58, 20 p. (2020). MSC: 11B39 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 07271355) Full Text: DOI
Rayaguru, Sai Gopal; Panda, Gopal Krishna Balancing numbers which are concatenation of two repdigits. (English) Zbl 07270782 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 07270782) Full Text: DOI
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). 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
Kafle, Bir; Rihane, Salah Eddine; Togbé, Alain Pell and Pell-Lucas numbers of the form \(x^a\pm x^b+1\). (English) Zbl 07270780 Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 879-893 (2020). MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{B. Kafle} et al., Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 879--893 (2020; Zbl 07270780) Full Text: DOI
Ddamulira, Mahadi Tribonacci numbers that are concatenations of two repdigits. (English) Zbl 07262208 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 07262208) Full Text: DOI
Edjeou, Bilizimbéyé; Tall, Amadou; Ben Maaouia, Mohamed Ben Fraj Powers of two as sums of three Lucas numbers. (English) Zbl 07261888 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 07261888) Full Text: Link
Bravo, Jhon J.; Das, Pranabesh; Guzmán, Sergio Repdigits in Narayana’s cows sequence and their consequences. (English) Zbl 07261887 J. Integer Seq. 23, No. 8, Article 20.8.7, 15 p. (2020). MSC: 11B83 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 07261887) Full Text: Link
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 07261872 Rocky Mt. J. Math. 50, No. 4, 1425-1433 (2020). MSC: 11D61 11B37 33-XX PDF BibTeX XML Cite \textit{K. Liptai} et al., Rocky Mt. J. Math. 50, No. 4, 1425--1433 (2020; Zbl 07261872) Full Text: DOI Euclid
Kizildere, Elif; Soydan, Gokhan On the Diophantine equation \((5pn^2 - 1)^x + (p(p - 5)n^2 + 1)^y=(pn)^z\). (English) Zbl 07254059 Honam Math. J. 42, No. 1, 139-150 (2020). MSC: 11D61 PDF BibTeX XML Cite \textit{E. Kizildere} and \textit{G. Soydan}, Honam Math. J. 42, No. 1, 139--150 (2020; Zbl 07254059) Full Text: DOI
Yamada, Tomohiro On finiteness of odd superperfect numbers. (English. French summary) Zbl 07246702 J. Théor. Nombres Bordx. 32, No. 1, 259-274 (2020). MSC: 11A25 11A05 11D61 11J86 PDF BibTeX XML Cite \textit{T. Yamada}, J. Théor. Nombres Bordx. 32, No. 1, 259--274 (2020; Zbl 07246702) Full Text: DOI
Louboutin, Stéphane R. On the discriminants of the powers of an algebraic integer. (English) Zbl 1441.11270 Can. Math. Bull. 63, No. 3, 481-483 (2020). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R29 11J86 PDF BibTeX XML Cite \textit{S. R. Louboutin}, Can. Math. Bull. 63, No. 3, 481--483 (2020; Zbl 1441.11270) Full Text: DOI
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
Bilu, Yuri; Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian Elliptic curves over finite fields with Fibonacci numbers of points. (English) Zbl 07225796 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 07225796) Full Text: Link
Bazsó, András; Bérczes, Attila; Kolouch, Ondřej; Pink, István; Šustek, Jan Diophantine equations connected to the Komornik polynomials. (English) Zbl 07222697 Glas. Mat., III. Ser. 55, No. 1, 13-27 (2020). MSC: 11D41 11B83 11D41 11B68 11B65 11J86 PDF BibTeX XML Cite \textit{A. Bazsó} et al., Glas. Mat., III. Ser. 55, No. 1, 13--27 (2020; Zbl 07222697) Full Text: DOI
Chatterjee, Tapas; Dhillon, Sonika Linear independence of harmonic numbers over the field of algebraic numbers. II. (English) Zbl 1446.11138 Ramanujan J. 52, No. 3, 555-580 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J86 11J91 PDF BibTeX XML Cite \textit{T. Chatterjee} and \textit{S. Dhillon}, Ramanujan J. 52, No. 3, 555--580 (2020; Zbl 1446.11138) Full Text: DOI
Waldschmidt, Michel Thue Diophantine equations. (English) Zbl 07220059 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 (ISBN 978-981-15-1513-2/hbk; 978-981-15-1516-3/pbk; 978-981-15-1514-9/ebook). 25-41 (2020). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D59 11J68 11J86 PDF BibTeX XML Cite \textit{M. Waldschmidt}, in: 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. 25--41 (2020; Zbl 07220059) Full Text: DOI
Kafle, Bir; Luca, Florian; Togbé, Alain Lucas factoriangular numbers. (English) Zbl 07217178 Math. Bohem. 145, No. 1, 33-43 (2020). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{B. Kafle} et al., Math. Bohem. 145, No. 1, 33--43 (2020; Zbl 07217178) Full Text: DOI
Bravo, Jhon J.; Herrera, Jose L. Fermat \(k\)-Fibonacci and \(k\)-Lucas numbers. (English) Zbl 07217177 Math. Bohem. 145, No. 1, 19-32 (2020). MSC: 11B39 11A51 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} and \textit{J. L. Herrera}, Math. Bohem. 145, No. 1, 19--32 (2020; Zbl 07217177) Full Text: DOI
Qu, Yunyun; Zeng, Jiwen Pell and Pell-Lucas numbers of the form \(-2^a-3^b+5^c\). (English) Zbl 07217134 Czech. Math. J. 70, No. 1, 281-289 (2020). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{Y. Qu} and \textit{J. Zeng}, Czech. Math. J. 70, No. 1, 281--289 (2020; Zbl 07217134) Full Text: DOI
Le Fourn, Samuel Tubular approaches to Baker’s method for curves and varieties. (English) Zbl 1446.11125 Algebra Number Theory 14, No. 3, 785-807 (2020). Reviewer: István Gaál (Debrecen) MSC: 11G35 11J86 PDF BibTeX XML Cite \textit{S. Le Fourn}, Algebra Number Theory 14, No. 3, 785--807 (2020; Zbl 1446.11125) Full Text: DOI
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
Ddamulira, Mahadi On a problem of Pillai with Fibonacci numbers and powers of 3. (English) Zbl 07211803 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 07211803) Full Text: DOI
Ddamulira, Mahadi Repdigits as sums of three Padovan numbers. (English) Zbl 07211802 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 07211802) Full Text: DOI
Bharadwaj, Abhishek T.; Rath, Purusottam On a question of Alan Baker over arbitrary number fields. (English) Zbl 1442.11109 Mathematika 66, No. 1, 103-111 (2020). Reviewer: István Gaál (Debrecen) MSC: 11J86 11R18 PDF BibTeX XML Cite \textit{A. T. Bharadwaj} and \textit{P. Rath}, Mathematika 66, No. 1, 103--111 (2020; Zbl 1442.11109) Full Text: DOI
Argáez-García, Alejandro; Patel, Vandita On perfect powers that are sums of cubes of a seven term arithmetic progression. (English) Zbl 07207003 J. Number Theory 214, 440-451 (2020). MSC: 11D61 11D41 11D59 11J86 PDF BibTeX XML Cite \textit{A. Argáez-García} and \textit{V. Patel}, J. Number Theory 214, 440--451 (2020; Zbl 07207003) Full Text: DOI
Natarajan, Saradha; Thangadurai, Ravindranathan Pillars of transcendental number theory. (English) Zbl 07201775 Cham: Springer (ISBN 978-981-15-4154-4/hbk; 978-981-15-4155-1/ebook). xvii, 174 p. (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11-01 11Jxx 11J81 11J72 11J85 11J86 11J87 PDF BibTeX XML Cite \textit{S. Natarajan} and \textit{R. Thangadurai}, Pillars of transcendental number theory. Cham: Springer (2020; Zbl 07201775) Full Text: DOI
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
Gómez, Carlos A.; Luca, Florian Zeckendorf representations with at most two terms to \(x\)-coordinates of Pell equations. (English) Zbl 07184420 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 07184420) Full Text: DOI
Adegbindin, Chèfiath; Luca, Florian; Togbé, Alain Pell and Pell-Lucas numbers as sums of two repdigits. (English) Zbl 1452.11020 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1253-1271 (2020). MSC: 11B39 11D09 11J86 PDF BibTeX XML Cite \textit{C. Adegbindin} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1253--1271 (2020; Zbl 1452.11020) Full Text: DOI
Bennett, Michael A.; Garbuz, Ben; Marten, Adam Goormaghtigh’s equation: small parameters. (English) Zbl 1449.11059 Publ. Math. 96, No. 1-2, 91-110 (2020). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D41 11D61 11J68 11Y50 PDF BibTeX XML Cite \textit{M. A. Bennett} et al., Publ. Math. 96, No. 1--2, 91--110 (2020; Zbl 1449.11059) Full Text: DOI
Bravo, Eric F.; Gómez Ruiz, Carlos Alexis; Luca, Florian Correction to: \(X\)-coordinates of Pell equations as sums of two tribonacci numbers. (English) Zbl 1449.11051 Period. Math. Hung. 46, No. 1, 145-146 (2020). MSC: 11D09 11B39 11J86 PDF BibTeX XML Cite \textit{E. F. Bravo} et al., Period. Math. Hung. 46, No. 1, 145--146 (2020; Zbl 1449.11051) Full Text: DOI
Le, Maohua; Soydan, Gökhan An application of Baker’s method to the Jeśmanowicz’ conjecture on primitive Pythagorean triples. (English) Zbl 1449.11066 Period. Math. Hung. 46, No. 1, 74-80 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{M. Le} and \textit{G. Soydan}, Period. Math. Hung. 46, No. 1, 74--80 (2020; Zbl 1449.11066) Full Text: DOI
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
Chatterjee, Tapas; Dhillon, Sonika Linear independence of harmonic numbers over the field of algebraic numbers. (English) Zbl 1441.11180 Ramanujan J. 51, No. 1, 43-66 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J86 11J91 PDF BibTeX XML Cite \textit{T. Chatterjee} and \textit{S. Dhillon}, Ramanujan J. 51, No. 1, 43--66 (2020; Zbl 1441.11180) Full Text: DOI
Freitas, Nuno; Kraus, Alain; Siksek, Samir Class field theory, Diophantine analysis and the asymptotic Fermat’s last theorem. (English) Zbl 1450.11023 Adv. Math. 363, Article ID 106964, 37 p. (2020). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11D41 11R37 11J86 PDF BibTeX XML Cite \textit{N. Freitas} et al., Adv. Math. 363, Article ID 106964, 37 p. (2020; Zbl 1450.11023) Full Text: DOI
Chatterjee, Tapas; Dhillon, Sonika Linear independence of logarithms of cyclotomic numbers and a conjecture of Livingston. (English) Zbl 1446.11137 Can. Math. Bull. 63, No. 1, 31-45 (2020). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11J81 11J72 11J86 11J91 11R27 PDF BibTeX XML Cite \textit{T. Chatterjee} and \textit{S. Dhillon}, Can. Math. Bull. 63, No. 1, 31--45 (2020; Zbl 1446.11137) Full Text: DOI
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu Diophantine pairs that induce certain Diophantine triples. (English) Zbl 07161188 J. Number Theory 210, 433-475 (2020). MSC: 11D09 11B37 11J86 PDF BibTeX XML Cite \textit{M. Cipu} et al., J. Number Theory 210, 433--475 (2020; Zbl 07161188) Full Text: DOI
Şiar, Zafer; Keskin, Refik On the Diophantine equation \(F_n - F_m=2^a\). (English) Zbl 1452.11022 Colloq. Math. 159, No. 1, 119-126 (2020). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{Z. Şiar} and \textit{R. Keskin}, Colloq. Math. 159, No. 1, 119--126 (2020; Zbl 1452.11022) Full Text: DOI arXiv
Bravo, Eric F.; Gómez, Carlos A.; Luca, Florian Total multiplicity of the Tribonacci sequence. (English) Zbl 07146402 Colloq. Math. 159, No. 1, 71-76 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{E. F. Bravo} et al., Colloq. Math. 159, No. 1, 71--76 (2020; Zbl 07146402) Full Text: DOI
Bravo, Eric F.; Gómez, Carlos A.; Kafle, Bir; Luca, Florian; Togbé, Alain On a conjecture concerning the multiplicity of the Tribonacci sequence. (English) Zbl 07146401 Colloq. Math. 159, No. 1, 61-69 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{E. F. Bravo} et al., Colloq. Math. 159, No. 1, 61--69 (2020; Zbl 07146401) Full Text: DOI
Gallegos-Ruiz, H. R.; Katsipis, N.; Tengely, Sz.; Ulas, M. On the Diophantine equation \(\binom{n}{k} = \binom{m}{l} + d\). (English) Zbl 1451.11020 J. Number Theory 208, 418-440 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11D41 11G30 11G05 11J86 PDF BibTeX XML Cite \textit{H. R. Gallegos-Ruiz} et al., J. Number Theory 208, 418--440 (2020; Zbl 1451.11020) Full Text: DOI
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
de Mathan, Bernard On the \(p\)-adic rational approximation. (Sur l’approximation rationnelle \(p\)-adique.) (English. French summary) Zbl 07245879 J. Théor. Nombres Bordx. 31, No. 2, 417-430 (2019). MSC: 11J13 11J61 11J86 PDF BibTeX XML Cite \textit{B. de Mathan}, J. Théor. Nombres Bordx. 31, No. 2, 417--430 (2019; Zbl 07245879) Full Text: DOI
Bharadwaj, Abhishek T. A note on the arithmetic Chowla-Milnor space. (English) Zbl 1450.11084 J. Ramanujan Math. Soc. 34, No. 4, 411-416 (2019). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11J86 11M35 PDF BibTeX XML Cite \textit{A. T. Bharadwaj}, J. Ramanujan Math. Soc. 34, No. 4, 411--416 (2019; Zbl 1450.11084) Full Text: Link
Rihane, Salah Eddine; Faye, Bernadette; Luca, Florian; Togbé, Alain An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers. (English) Zbl 1449.11036 Ann. Math. Inform. 50, 167-177 (2019). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Ann. Math. Inform. 50, 167--177 (2019; Zbl 1449.11036) Full Text: DOI
Luca, Florian; Togan, Sossa Victorin; Togbé, Alain On the \(X\)-coordinates of Pell equations which are rep-digits. II. (English) Zbl 1449.11054 Ann. Math. Inform. 50, 131-144 (2019). MSC: 11D09 11J86 11A63 PDF BibTeX XML Cite \textit{F. Luca} et al., Ann. Math. Inform. 50, 131--144 (2019; Zbl 1449.11054) Full Text: DOI
Garcia Lomelia, Ana Cecilia; Hernández Hernández, Santos; Luca, Floorian Pillai’s problem with the Fibonacci and Padovan sequences. (English) Zbl 1449.11029 Ann. Math. Inform. 50, 101-115 (2019). MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{A. C. Garcia Lomelia} et al., Ann. Math. Inform. 50, 101--115 (2019; Zbl 1449.11029) Full Text: DOI
Erduvan, Fatih; Keskin, Refik Fibonacci numbers which are products of two balancing numbers. (English) Zbl 1449.11028 Ann. Math. Inform. 50, 57-70 (2019). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Ann. Math. Inform. 50, 57--70 (2019; Zbl 1449.11028) Full Text: DOI
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
Gómez, Carlos A.; Luca, Florian; Orozco, Jose L. The zero-multiplicity of Berstel type sequences. (English) Zbl 07157367 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 3, 265-275 (2019). Reviewer: Michel Waldschmidt (Paris) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 3, 265--275 (2019; Zbl 07157367)
Ballaÿ, François Linear independence measures of logarithms on a commutative algebraic group in the rational case. (Mesures d’indépendance linéaire de logarithmes dans un groupe algébrique commutatif dans le cas rationnel.) (French. English summary) Zbl 1436.11088 Diss. Math. 543, 1-78 (2019). Reviewer: Michel Waldschmidt (Paris) MSC: 11J86 11J61 14G40 PDF BibTeX XML Cite \textit{F. Ballaÿ}, Diss. Math. 543, 1--78 (2019; Zbl 1436.11088) Full Text: DOI
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
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
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
Ddamulira, Mahadi On the problem of Pillai with Padovan numbers and powers of 3. (English) Zbl 1438.11034 Stud. Sci. Math. Hung. 56, No. 3, 364-379 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira}, Stud. Sci. Math. Hung. 56, No. 3, 364--379 (2019; Zbl 1438.11034) Full Text: DOI
Bitim, Bahar Demirtürk Bitim On the Diophantine equation \(L_n-L_m = 2\cdot 3^a\). (English) Zbl 1449.11025 Period. Math. Hung. 79, No. 2, 210-217 (2019). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{B. D. B. Bitim}, Period. Math. Hung. 79, No. 2, 210--217 (2019; Zbl 1449.11025) Full Text: DOI
Kafle, Bir; Luca, Florian; Togbé, Alain \(x\)-Coordinates of Pell equations which are Tribonacci numbers. II. (English) Zbl 1449.11030 Period. Math. Hung. 79, No. 2, 157-167 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11B39 11A25 11J86 PDF BibTeX XML Cite \textit{B. Kafle} et al., Period. Math. Hung. 79, No. 2, 157--167 (2019; Zbl 1449.11030) Full Text: DOI
Yu, Jing On linear independence of generalized logarithms. (English) Zbl 1442.11110 Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 43, 507-520 (2019). Reviewer: István Gaál (Debrecen) MSC: 11J86 11J81 11J85 11J89 11J93 PDF BibTeX XML Cite \textit{J. Yu}, in: Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. 507--520 (2019; Zbl 1442.11110)
Jukić, Bokun M.; Soldo, I. On the extensibility of \(D(-1)\)-pairs containing Fermat primes. (English) Zbl 1449.11053 Acta Math. Hung. 159, No. 1, 89-108 (2019). MSC: 11D09 11R11 11J86 PDF BibTeX XML Cite \textit{B. M. Jukić} and \textit{I. Soldo}, Acta Math. Hung. 159, No. 1, 89--108 (2019; Zbl 1449.11053) Full Text: DOI
Győry, Kálmán Bounds for the solutions of \(S\)-unit equations and decomposable form equations. II. (English) Zbl 1438.11084 Publ. Math. 94, No. 3-4, 507-526 (2019). Reviewer: Thomas Schmidt (Corvallis) MSC: 11D61 11D57 11D59 11J86 PDF BibTeX XML Cite \textit{K. Győry}, Publ. Math. 94, No. 3--4, 507--526 (2019; Zbl 1438.11084) Full Text: DOI arXiv
García Lomelí, Ana Cecilia; Hernández Hernández, Santos; Luca, Florian Pillai’s problem with the Padovan and Tribonacci sequences. (English) Zbl 1436.11090 Indian J. Math. 61, No. 1, 61-75 (2019). MSC: 11J86 11D61 11B39 PDF BibTeX XML Cite \textit{A. C. García Lomelí} et al., Indian J. Math. 61, No. 1, 61--75 (2019; Zbl 1436.11090)
Bravo, Eric F.; Gómez, Carlos A.; Luca, Florian Product of consecutive tribonacci numbers with only one distinct digit. (English) Zbl 07114883 J. Integer Seq. 22, No. 6, Article 19.6.3, 9 p. (2019). Reviewer: István Gaál (Debrecen) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{E. F. Bravo} et al., J. Integer Seq. 22, No. 6, Article 19.6.3, 9 p. (2019; Zbl 07114883) Full Text: Link
Ddamulira, Mahadi On the problem of Pillai with tribonacci numbers and powers of 3. (English) Zbl 1450.11008 J. Integer Seq. 22, No. 5, Article 19.5.6, 15 p. (2019). Reviewer: István Gaál (Debrecen) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira}, J. Integer Seq. 22, No. 5, Article 19.5.6, 15 p. (2019; Zbl 1450.11008) Full Text: Link
García Lomelí, Ana Cecilia; Hernández Hernández, Santos Pillai’s problem with Padovan numbers and powers of two. (English) Zbl 1436.11089 Rev. Colomb. Mat. 53, No. 1, 1-14 (2019). MSC: 11J86 11D61 PDF BibTeX XML Cite \textit{A. C. García Lomelí} and \textit{S. Hernández Hernández}, Rev. Colomb. Mat. 53, No. 1, 1--14 (2019; Zbl 1436.11089) Full Text: Link
Zhao, Peng; Fan, Engui On quasiperiodic solutions of the modified Kadomtsev-Petviashvili hierarchy. (English) Zbl 1423.35018 Appl. Math. Lett. 97, 27-33 (2019). MSC: 35B15 35K57 PDF BibTeX XML Cite \textit{P. Zhao} and \textit{E. Fan}, Appl. Math. Lett. 97, 27--33 (2019; Zbl 1423.35018) Full Text: DOI
Bitim, Bahar Demirtürk; 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. D. 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
Siar, Zafer; Erduvan, Fatih; Keskin, Refik Repdigits as products of two Pell or Pell-Lucas numbers. (English) Zbl 07111088 Acta Math. Univ. Comen., New Ser. 88, No. 2, 247-256 (2019). MSC: 11A63 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{Z. Siar} et al., Acta Math. Univ. Comen., New Ser. 88, No. 2, 247--256 (2019; Zbl 07111088) Full Text: Link
Yang, Hai; Fu, Ruiqin A note on the Goormaghtigh equation. (English) Zbl 1438.11089 Period. Math. Hung. 79, No. 1, 86-93 (2019). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{H. Yang} and \textit{R. Fu}, Period. Math. Hung. 79, No. 1, 86--93 (2019; Zbl 1438.11089) Full Text: DOI
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 07095807 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 07095807) Full Text: DOI
Erduvan, Fatih; Keskin, Refik Nonnegative integer solutions of the equation \(F_{n}-F_{m}=5^{a}\). (English) Zbl 07095772 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 07095772) Full Text: DOI
Luca, Florian; Normenyo, Benedict Vasco; Togbé, Alain Repdigits as sums of four Pell numbers. (English) Zbl 07089380 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 07089380) Full Text: DOI
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
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
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
Gaál, István Diophantine equations and power integral bases. Theory and algorithms. 2nd edition. (English) Zbl 07077014 Cham: Birkhäuser (ISBN 978-3-030-23864-3/hbk; 978-3-030-23867-4/pbk; 978-3-030-23865-0/ebook). xxii, 326 p. (2019). MSC: 11-02 11Y50 11D57 11D59 11R33 11-04 PDF BibTeX XML Cite \textit{I. Gaál}, Diophantine equations and power integral bases. Theory and algorithms. 2nd edition. Cham: Birkhäuser (2019; Zbl 07077014) Full Text: DOI
Fu, Ruiqin; He, Bo; Yang, Hai; Zhu, Huilin On some ternary pure exponential Diophantine equations with three consecutive positive integers bases. (English) Zbl 1428.11059 Proc. Indian Acad. Sci., Math. Sci. 129, No. 2, Paper No. 26, 12 p. (2019). MSC: 11D61 11J86 PDF BibTeX XML Cite \textit{R. Fu} et al., Proc. Indian Acad. Sci., Math. Sci. 129, No. 2, Paper No. 26, 12 p. (2019; Zbl 1428.11059) Full Text: DOI
Bilu, Yuri; Marques, Diego; Togbé, Alain Generalized Cullen numbers in linear recurrence sequences. (English) Zbl 1446.11023 J. Number Theory 202, 412-425 (2019). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11B37 11B39 11J86 PDF BibTeX XML Cite \textit{Y. Bilu} et al., J. Number Theory 202, 412--425 (2019; Zbl 1446.11023) Full Text: DOI arXiv
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
Yamada, Tomohiro A new upper bound for odd perfect numbers of a special form. (English) Zbl 07054012 Colloq. Math. 156, No. 1, 15-23 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11D61 11J86 PDF BibTeX XML Cite \textit{T. Yamada}, Colloq. Math. 156, No. 1, 15--23 (2019; Zbl 07054012) Full Text: DOI
Rihane, Salah Eddine; Hernane, Mohand Ouamar; Togbé, Alain On Diophantine triples of Pell numbers. (English) Zbl 07053962 Colloq. Math. 156, No. 2, 273-285 (2019). MSC: 11D09 11D45 11B37 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Colloq. Math. 156, No. 2, 273--285 (2019; Zbl 07053962) Full Text: DOI
Luca, Florian; Normenyo, Benedict Vasco; Togbé, Alain Repdigits as sums of three Lucas numbers. (English) Zbl 07053960 Colloq. Math. 156, No. 2, 255-265 (2019). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{F. Luca} et al., Colloq. Math. 156, No. 2, 255--265 (2019; Zbl 07053960) Full Text: DOI
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
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