Nguyễn, Thái Thành The initial degree of symbolic powers of Fermat-like ideals of planes and lines arrangements. (English) Zbl 07637650 Commun. Algebra 51, No. 1, 29-45 (2023). Reviewer: Piotr Pokora (Kraków) MSC: 14N20 13F20 14C20 PDF BibTeX XML Cite \textit{T. T. Nguyễn}, Commun. Algebra 51, No. 1, 29--45 (2023; Zbl 07637650) Full Text: DOI arXiv OpenURL
Hajdu, L.; Herendi, O. Extrema of polynomials with real roots and Diophantine equations. (English) Zbl 07595071 J. Number Theory 242, 626-646 (2023). MSC: 11D41 11C08 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{O. Herendi}, J. Number Theory 242, 626--646 (2023; Zbl 07595071) Full Text: DOI OpenURL
Tho, Nguyen Xuan Fermat quartics with only trivial solutions in any odd degree number field. (English) Zbl 07644676 Period. Math. Hung. 85, No. 2, 427-434 (2022). MSC: 11D25 11D41 PDF BibTeX XML Cite \textit{N. X. Tho}, Period. Math. Hung. 85, No. 2, 427--434 (2022; Zbl 07644676) Full Text: DOI OpenURL
Alexandru, Victor; Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru Statistical distribution of Fermat quotients. (English) Zbl 07641333 Chaos Solitons Fractals 161, Article ID 112335, 6 p. (2022). MSC: 11Axx 11Nxx 11Lxx PDF BibTeX XML Cite \textit{V. Alexandru} et al., Chaos Solitons Fractals 161, Article ID 112335, 6 p. (2022; Zbl 07641333) Full Text: DOI OpenURL
Almeida, Paulo J.; Cardoso, Gabriel An extension of the Euclid-Euler theorem to certain \(\alpha\)-perfect numbers. (English) Zbl 07640028 J. Integer Seq. 25, No. 8, Article 22.8.4, 16 p. (2022). MSC: 11A25 11N25 11B83 PDF BibTeX XML Cite \textit{P. J. Almeida} and \textit{G. Cardoso}, J. Integer Seq. 25, No. 8, Article 22.8.4, 16 p. (2022; Zbl 07640028) Full Text: Link OpenURL
Megrelishvili, M.; Shlossberg, M. Minimality of topological matrix groups and Fermat primes. (English) Zbl 07628689 Topology Appl. 322, Article ID 108272, 21 p. (2022). MSC: 20H20 20G25 54H11 11Sxx 11F85 54H13 PDF BibTeX XML Cite \textit{M. Megrelishvili} and \textit{M. Shlossberg}, Topology Appl. 322, Article ID 108272, 21 p. (2022; Zbl 07628689) Full Text: DOI arXiv OpenURL
Agoh, Takashi A note on the Wilson quotient. (English) Zbl 07604097 Integers 22, Paper A86, 10 p. (2022). Reviewer: Amin Witno (Amman) MSC: 11A07 11B68 PDF BibTeX XML Cite \textit{T. Agoh}, Integers 22, Paper A86, 10 p. (2022; Zbl 07604097) Full Text: Link OpenURL
Choudhry, Ajai Matrix morphology and composition of higher degree forms with applications to Diophantine equations. (English) Zbl 1497.11096 Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 551(26), 65-89 (2022). MSC: 11E76 11E16 11C20 11D25 11D41 PDF BibTeX XML Cite \textit{A. Choudhry}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 551(26), 65--89 (2022; Zbl 1497.11096) Full Text: DOI arXiv OpenURL
Diaz-Vargas, Javier; Rubio-Barrios, Carlos Jacob; Santiago-Bonifaz, Luis Gustavo Eisenstein-Jacobi integer solutions for the fifth power taxicab number problem. (English) Zbl 07602851 JP J. Algebra Number Theory Appl. 57, 17-22 (2022). MSC: 11D41 11R04 11R11 PDF BibTeX XML Cite \textit{J. Diaz-Vargas} et al., JP J. Algebra Number Theory Appl. 57, 17--22 (2022; Zbl 07602851) Full Text: DOI OpenURL
Bremner, Andrew; Xuan Tho Nguyen On the Diophantine equation \(x^4+y^4=c\). (English) Zbl 07573954 Acta Arith. 204, No. 2, 141-150 (2022). Reviewer: Victor Wang (Princeton) MSC: 11D25 11R27 14G05 PDF BibTeX XML Cite \textit{A. Bremner} and \textit{Xuan Tho Nguyen}, Acta Arith. 204, No. 2, 141--150 (2022; Zbl 07573954) Full Text: DOI OpenURL
Freitas, Nuno; Kraus, Alain On the symplectic type of isomorphisms of the \(p\)-torsion of elliptic curves. (English) Zbl 07573741 Memoirs of the American Mathematical Society 1361. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5210-0/pbk; 978-1-4704-7093-7/ebook). v, 105 p. (2022). MSC: 11-02 11G05 11G07 11D41 PDF BibTeX XML Cite \textit{N. Freitas} and \textit{A. Kraus}, On the symplectic type of isomorphisms of the \(p\)-torsion of elliptic curves. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 07573741) Full Text: DOI arXiv OpenURL
Mochizuki, Shinichi; Fesenko, Ivan; Hoshi, Yuichiro; Minamide, Arata; Porowski, Wojciech Explicit estimates in inter-universal Teichmüller theory. (English) Zbl 07564713 Kodai Math. J. 45, No. 2, 175-236 (2022). MSC: 14H25 14H30 PDF BibTeX XML Cite \textit{S. Mochizuki} et al., Kodai Math. J. 45, No. 2, 175--236 (2022; Zbl 07564713) Full Text: DOI Link OpenURL
Hajdu, L.; Papp, Á.; Tijdeman, R. The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations. (English) Zbl 1496.11126 Ramanujan J. 58, No. 4, 1075-1093 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11P05 11B75 11D41 PDF BibTeX XML Cite \textit{L. Hajdu} et al., Ramanujan J. 58, No. 4, 1075--1093 (2022; Zbl 1496.11126) Full Text: DOI OpenURL
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 OpenURL
Patodia, Harish; Saikia, Helen Near-Zumkeller numbers. (English) Zbl 1498.11019 Proyecciones 41, No. 3, 765-776 (2022). MSC: 11A25 97F60 PDF BibTeX XML Cite \textit{H. Patodia} and \textit{H. Saikia}, Proyecciones 41, No. 3, 765--776 (2022; Zbl 1498.11019) Full Text: DOI OpenURL
de Melo Hernández, Fernanda D.; Hernández Melo, César A.; Tapia-Recillas, Horacio Fermat’s little theorem and Euler’s theorem in a class of rings. (English) Zbl 1492.11165 Commun. Algebra 50, No. 7, 3064-3078 (2022). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 11T30 11A25 13A99 PDF BibTeX XML Cite \textit{F. D. de Melo Hernández} et al., Commun. Algebra 50, No. 7, 3064--3078 (2022; Zbl 1492.11165) Full Text: DOI arXiv OpenURL
Szechtman, Fernando Closed formulae for certain Fermat-Pell equations. (English) Zbl 1493.11161 Commun. Algebra 50, No. 2, 661-667 (2022). Reviewer: Anitha Srinivasan (Madrid) MSC: 11Y65 11A55 11D09 11Y50 11B37 PDF BibTeX XML Cite \textit{F. Szechtman}, Commun. Algebra 50, No. 2, 661--667 (2022; Zbl 1493.11161) Full Text: DOI arXiv OpenURL
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 OpenURL
Smirnov, A. A.; Bondar, V. V.; Rozhenko, O. D.; Mirzoyan, M. V.; Darjania, A. D. Mersenne numbers in the bases of systems of residual classes when transmitting data in serial communication channels. (English. Russian original) Zbl 1484.94014 J. Math. Sci., New York 260, No. 2, 241-248 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 166, 87-94 (2019). MSC: 94A17 11A07 11A51 11T71 PDF BibTeX XML Cite \textit{A. A. Smirnov} et al., J. Math. Sci., New York 260, No. 2, 241--248 (2022; Zbl 1484.94014); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 166, 87--94 (2019) Full Text: DOI OpenURL
Chakraborty, Kalyan; Hoque, Azizul On the Diophantine equation \(dx^2+p^{2a}q^{2b}=4y^p\). (English) Zbl 1490.11041 Result. Math. 77, No. 1, Paper No. 18, 11 p. (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D61 11D41 11Y50 PDF BibTeX XML Cite \textit{K. Chakraborty} and \textit{A. Hoque}, Result. Math. 77, No. 1, Paper No. 18, 11 p. (2022; Zbl 1490.11041) Full Text: DOI arXiv OpenURL
Hu, Wenjie; Zheng, Yanpeng; Jiang, Zhaolin Fermat-Sylvester-Kac matrix. (English) Zbl 1499.15124 Adv. Appl. Discrete Math. 27, No. 2, 157-172 (2021). MSC: 15B36 15A30 PDF BibTeX XML Cite \textit{W. Hu} et al., Adv. Appl. Discrete Math. 27, No. 2, 157--172 (2021; Zbl 1499.15124) Full Text: DOI OpenURL
Normenyo, B.; Rihane, S.; Togbe, A. Fermat and Mersenne numbers in \(k\)-Pell sequence. (English) Zbl 1496.11028 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 1496.11028) Full Text: DOI OpenURL
Moscariello, Alessio On sparse perfect powers. (English) Zbl 1483.11235 Mosc. J. Comb. Number Theory 10, No. 4, 261-270 (2021). MSC: 11P99 11D41 PDF BibTeX XML Cite \textit{A. Moscariello}, Mosc. J. Comb. Number Theory 10, No. 4, 261--270 (2021; Zbl 1483.11235) Full Text: DOI arXiv OpenURL
Křížek, Michal; Somer, Lawrence; Šolcová, Alena From great discoveries in number theory to applications. (English) Zbl 1486.11001 Cham: Springer (ISBN 978-3-030-83898-0/hbk; 978-3-030-83901-7/pbk; 978-3-030-83899-7/ebook). xv, 337 p. (2021). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 00A08 00A09 11Zxx 11Yxx 94A60 PDF BibTeX XML Cite \textit{M. Křížek} et al., From great discoveries in number theory to applications. Cham: Springer (2021; Zbl 1486.11001) Full Text: DOI OpenURL
Looper, Nicole R. Dynamical uniform boundedness and the \(abc\)-conjecture. (English) Zbl 1468.14059 Invent. Math. 225, No. 1, 1-44 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 14H25 37C25 11C08 11R09 14E05 37F10 11D41 PDF BibTeX XML Cite \textit{N. R. Looper}, Invent. Math. 225, No. 1, 1--44 (2021; Zbl 1468.14059) Full Text: DOI arXiv OpenURL
Chakraborty, K.; Hoque, A.; Srinivas, K. On the Diophantine equation \(cx^2+p^{2m}=4y^n\). (English) Zbl 1480.11039 Result. Math. 76, No. 2, Paper No. 57, 13 p. (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D41 11Y50 PDF BibTeX XML Cite \textit{K. Chakraborty} et al., Result. Math. 76, No. 2, Paper No. 57, 13 p. (2021; Zbl 1480.11039) Full Text: DOI arXiv OpenURL
Elsholtz, Christian Fermat’s last theorem implies Euclid’s infinitude of primes. (English) Zbl 1467.11008 Am. Math. Mon. 128, No. 3, 250-257 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11A41 05D10 11B75 PDF BibTeX XML Cite \textit{C. Elsholtz}, Am. Math. Mon. 128, No. 3, 250--257 (2021; Zbl 1467.11008) Full Text: DOI arXiv OpenURL
van Frankenhuijsen, Machiel Two restricted ABC conjectures. (English) Zbl 1469.11240 J. Number Theory 221, 424-446 (2021). Reviewer: Michel Waldschmidt (Paris) MSC: 11J97 11D04 11D75 14G05 14G40 PDF BibTeX XML Cite \textit{M. van Frankenhuijsen}, J. Number Theory 221, 424--446 (2021; Zbl 1469.11240) Full Text: DOI arXiv OpenURL
Witno, Amin Hypothetical elite primes for Mersenne numbers and repunits. (English) Zbl 1464.11006 J. Integer Seq. 24, No. 1, Article 21.1.7, 11 p. (2021). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11A15 11A41 PDF BibTeX XML Cite \textit{A. Witno}, J. Integer Seq. 24, No. 1, Article 21.1.7, 11 p. (2021; Zbl 1464.11006) Full Text: Link OpenURL
Bussotti, Paolo; Pisano, Raffaele Historical and foundational details on the method of infinite descent: every prime number of the form \(4n+1\) is the sum of two squares. (English) Zbl 1490.11002 Found. Sci. 25, No. 3, 671-702 (2020). MSC: 11-03 01A45 PDF BibTeX XML Cite \textit{P. Bussotti} and \textit{R. Pisano}, Found. Sci. 25, No. 3, 671--702 (2020; Zbl 1490.11002) Full Text: DOI OpenURL
Goryushkin, A. P. On methods for applying modern computing technologies to the study of number theory. (Russian. English summary) Zbl 1488.11177 Vestn. KRAUNTS, Fiz.-Mat. Nauki 30, No. 1, 79-86 (2020). MSC: 11Y11 11A07 PDF BibTeX XML Cite \textit{A. P. Goryushkin}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 30, No. 1, 79--86 (2020; Zbl 1488.11177) Full Text: DOI MNR OpenURL
Just, Matthew On upper bounds for the count of elite primes. (English) Zbl 1465.11192 Integers 20, Paper A76, 5 p. (2020). Reviewer: Amin Witno (Amman) MSC: 11N37 11A41 PDF BibTeX XML Cite \textit{M. Just}, Integers 20, Paper A76, 5 p. (2020; Zbl 1465.11192) Full Text: arXiv Link OpenURL
Granville, Andrew Several arithmetic proofs on the infinitude of prime numbers. (Spanish) Zbl 1477.11013 Gac. R. Soc. Mat. Esp. 23, No. 2, 324 (2020). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11A41 PDF BibTeX XML Cite \textit{A. Granville}, Gac. R. Soc. Mat. Esp. 23, No. 2, 324 (2020; Zbl 1477.11013) OpenURL
Bremner, Andrew; Choudhry, Ajai The Fermat cubic and quartic curves over cyclic fields. (English) Zbl 1474.14041 Period. Math. Hung. 80, No. 2, 147-157 (2020). MSC: 14G25 11D25 11G05 PDF BibTeX XML Cite \textit{A. Bremner} and \textit{A. Choudhry}, Period. Math. Hung. 80, No. 2, 147--157 (2020; Zbl 1474.14041) Full Text: DOI OpenURL
Milne, James S. Elliptic curves. 2nd revised and updated edition. (English) Zbl 1446.14001 Hackensack, NJ: World Scientific (ISBN 978-981-12-2183-5/hbk; 978-981-12-2185-9/ebook). x, 308 p. (2020). MSC: 14-01 14H52 11-01 11G05 11G40 14G10 11F11 11D41 PDF BibTeX XML Cite \textit{J. S. Milne}, Elliptic curves. 2nd revised and updated edition. Hackensack, NJ: World Scientific (2020; Zbl 1446.14001) Full Text: DOI OpenURL
Bravo, Jhon J.; Herrera, Jose L. Fermat \(k\)-Fibonacci and \(k\)-Lucas numbers. (English) Zbl 1474.11042 Math. Bohem. 145, No. 1, 19-32 (2020). Reviewer: Andrej Dujella (Zagreb) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} and \textit{J. L. Herrera}, Math. Bohem. 145, No. 1, 19--32 (2020; Zbl 1474.11042) Full Text: DOI 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
Davis, Rachel; Pries, Rachel Cohomology groups of Fermat curves via ray class fields of cyclotomic fields. (English) Zbl 1448.11202 J. Algebra 554, 78-105 (2020). MSC: 11R34 11D41 11R18 11R37 11Y40 13A50 14F20 55S35 PDF BibTeX XML Cite \textit{R. Davis} and \textit{R. Pries}, J. Algebra 554, 78--105 (2020; Zbl 1448.11202) Full Text: DOI arXiv OpenURL
Ribet, Kenneth A. A 2020 view of Fermat’s Last Theorem. (English) Zbl 1442.11004 Notices Am. Math. Soc. 67, No. 1, 82-83 (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-03 11D41 01A61 PDF BibTeX XML Cite \textit{K. A. Ribet}, Notices Am. Math. Soc. 67, No. 1, 82--83 (2020; Zbl 1442.11004) Full Text: DOI OpenURL
Kaufman, Richard Limits on legs of Pythagorean triples and Fermat’s last theorem. (English) Zbl 1445.97007 Coll. Math. J. 51, No. 1, 53-56 (2020). MSC: 97F60 11D41 PDF BibTeX XML Cite \textit{R. Kaufman}, Coll. Math. J. 51, No. 1, 53--56 (2020; Zbl 1445.97007) Full Text: DOI OpenURL
Ţurcaş, George C. On Serre’s modularity conjecture and Fermat’s equation over quadratic imaginary fields of class number one. (English) Zbl 1472.11098 J. Number Theory 209, 516-530 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11D41 11F80 11F75 PDF BibTeX XML Cite \textit{G. C. Ţurcaş}, J. Number Theory 209, 516--530 (2020; Zbl 1472.11098) Full Text: DOI arXiv Link OpenURL
Hajdu, Lajos On special extrema of polynomials with applications to Diophantine problems. (English) Zbl 1450.11019 Res. Number Theory 6, No. 1, Paper No. 3, 14 p. (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11C08 11D41 11B39 PDF BibTeX XML Cite \textit{L. Hajdu}, Res. Number Theory 6, No. 1, Paper No. 3, 14 p. (2020; Zbl 1450.11019) Full Text: DOI OpenURL
Wei, Yunlan; Jiang, Xiaoyu; Jiang, Zhaolin; Shon, Sugoog Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices. (English) Zbl 1485.15009 Adv. Difference Equ. 2019, Paper No. 410, 11 p. (2019). MSC: 15A09 15A15 15B05 PDF BibTeX XML Cite \textit{Y. Wei} et al., Adv. Difference Equ. 2019, Paper No. 410, 11 p. (2019; Zbl 1485.15009) Full Text: DOI OpenURL
Mahler, Kurt Reprint: On the lattice points on curves of genus \(1\) (1935). (English) Zbl 1465.11015 Doc. Math. Extra Vol., Mahler Selecta, 399-436 (2019). MSC: 11-03 11D41 11G99 14H25 PDF BibTeX XML Cite \textit{K. Mahler}, Doc. Math. Extra Vol., 399--436 (2019; Zbl 1465.11015) OpenURL
Mahler, Kurt Reprint: On the rational points on curves of genus one (1934). (Reprint: Über die rationalen Punkte auf Kurven vom Geschlecht Eins (1934).) (German. English summary) Zbl 1465.11014 Doc. Math. Extra Vol., Mahler Selecta, 387-398 (2019). MSC: 11-03 11D41 11G99 14G05 14H25 PDF BibTeX XML Cite \textit{K. Mahler}, Doc. Math. Extra Vol., 387--398 (2019; Zbl 1465.11014) OpenURL
Yarmish, Gavriel; Yarmish, Joshua; Yarmish, Jason Finding large primes. (English) Zbl 1453.11168 Util. Math. 113, 131-148 (2019). MSC: 11Y11 11K45 11A41 PDF BibTeX XML Cite \textit{G. Yarmish} et al., Util. Math. 113, 131--148 (2019; Zbl 1453.11168) Full Text: arXiv OpenURL
Phạm, Tiến-Sơn Optimality conditions for minimizers at infinity in polynomial programming. (English) Zbl 1437.90160 Math. Oper. Res. 44, No. 4, 1381-1395 (2019). MSC: 90C46 90C26 90C30 14P10 26C05 11C08 12E10 PDF BibTeX XML Cite \textit{T.-S. Phạm}, Math. Oper. Res. 44, No. 4, 1381--1395 (2019; Zbl 1437.90160) Full Text: DOI arXiv OpenURL
You, Lihua; Cai, Xiaoqun The integer solution of the Diophantine equation \(x^2 + 4^n = y^9\). (Chinese. English summary) Zbl 1449.11060 J. South China Norm. Univ., Nat. Sci. Ed. 51, No. 3, 103-107 (2019). MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{L. You} and \textit{X. Cai}, J. South China Norm. Univ., Nat. Sci. Ed. 51, No. 3, 103--107 (2019; Zbl 1449.11060) Full Text: DOI OpenURL
Morton, Patrick Periodic points of algebraic functions and Deuring’s class number formula. (English) Zbl 1461.14033 Ramanujan J. 50, No. 2, 323-354 (2019). Reviewer: Noriko Yui (Kingston) MSC: 14H05 11D41 11G07 11G15 PDF BibTeX XML Cite \textit{P. Morton}, Ramanujan J. 50, No. 2, 323--354 (2019; Zbl 1461.14033) Full Text: DOI arXiv OpenURL
Gras, Georges Ideal norms in the cyclotomic tower and Greenberg’s conjecture. (Normes d’idéaux dans la tour cyclotomique et conjecture de Greenberg.) (French. English summary) Zbl 1464.11115 Ann. Math. Qué. 43, No. 2, 249-280 (2019). MSC: 11R23 11R29 11R37 11Y40 PDF BibTeX XML Cite \textit{G. Gras}, Ann. Math. Qué. 43, No. 2, 249--280 (2019; Zbl 1464.11115) Full Text: DOI arXiv OpenURL
Dresden, Greg; Hess, Kylie; Islam, Saimon; Rouse, Jeremy; Schmitt, Aaron; Stamm, Emily; Warren, Terrin; Yue, Pan When is \(a^{n}+1\) the sum of two squares? (English) Zbl 1428.11072 Involve 12, No. 4, 585-605 (2019). MSC: 11E25 11C08 PDF BibTeX XML Cite \textit{G. Dresden} et al., Involve 12, No. 4, 585--605 (2019; Zbl 1428.11072) Full Text: DOI arXiv OpenURL
Bremner, Andrew On a problem of Erdös related to common factor differences. (English) Zbl 1494.11031 Int. J. Number Theory 15, No. 5, 1059-1068 (2019). Reviewer: Weidong Gao (Tianjin) MSC: 11B75 11D41 11G05 PDF BibTeX XML Cite \textit{A. Bremner}, Int. J. Number Theory 15, No. 5, 1059--1068 (2019; Zbl 1494.11031) Full Text: DOI OpenURL
Dąbrowski, Andrzej; Jędrzejak, Tomasz Elliptic curves over the rationals with good reduction outside two odd primes. (English) Zbl 1439.14086 J. Number Theory 202, 254-277 (2019). Reviewer: Imin Chen (Burnaby) MSC: 14G25 14H52 11G05 11D41 PDF BibTeX XML Cite \textit{A. Dąbrowski} and \textit{T. Jędrzejak}, J. Number Theory 202, 254--277 (2019; Zbl 1439.14086) Full Text: DOI OpenURL
Liu, Huaning; Zhang, Guotuo Pseudo-random subsets constructed by using Fermat quotients. (English) Zbl 1438.11105 Publ. Math. Debr. 94, No. 1-2, 55-74 (2019). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11K38 11K45 11A07 11T23 11T24 11T71 PDF BibTeX XML Cite \textit{H. Liu} and \textit{G. Zhang}, Publ. Math. Debr. 94, No. 1--2, 55--74 (2019; Zbl 1438.11105) Full Text: DOI OpenURL
Dinitz, Jeffrey H.; Games, Richard A.; Roth, Robert L. Seeds for generalized taxicab numbers. (English) Zbl 1440.11011 J. Integer Seq. 22, No. 3, Article 19.3.3, 16 p. (2019). MSC: 11B37 11D41 11P05 PDF BibTeX XML Cite \textit{J. H. Dinitz} et al., J. Integer Seq. 22, No. 3, Article 19.3.3, 16 p. (2019; Zbl 1440.11011) Full Text: arXiv Link OpenURL
Kraus, Alain Fermat’s theorem over some totally real number fields. (Le théorème de Fermat sur certains corps de nombres totalement réels.) (French. English summary) Zbl 1441.11063 Algebra Number Theory 13, No. 2, 301-332 (2019). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D41 11G05 11R37 PDF BibTeX XML Cite \textit{A. Kraus}, Algebra Number Theory 13, No. 2, 301--332 (2019; Zbl 1441.11063) Full Text: DOI arXiv OpenURL
Graff, Grzegorz; Lebiedź, Małgorzata; Nowak-Przygodzki, Piotr Generating sequences of Lefschetz numbers of iterates. (English) Zbl 1475.37012 Monatsh. Math. 188, No. 3, 511-525 (2019). MSC: 37A44 37C25 11B50 PDF BibTeX XML Cite \textit{G. Graff} et al., Monatsh. Math. 188, No. 3, 511--525 (2019; Zbl 1475.37012) Full Text: DOI OpenURL
Wu, Chenhuang; Xu, Chunxiang; Chen, Zhixiong; Ke, Pinhui On error linear complexity of new generalized cyclotomic binary sequences of period \(p^2\). (English) Zbl 1481.94127 Inf. Process. Lett. 144, 9-15 (2019). MSC: 94A60 94A55 11T71 PDF BibTeX XML Cite \textit{C. Wu} et al., Inf. Process. Lett. 144, 9--15 (2019; Zbl 1481.94127) Full Text: DOI arXiv OpenURL
Somsuk, Kritsanapong The improvement of initial value closer to the target for Fermat’s factorization algorithm. (English) Zbl 1481.11121 J. Discrete Math. Sci. Cryptography 21, No. 7-8, 1573-1580 (2018). MSC: 11Y05 94A60 PDF BibTeX XML Cite \textit{K. Somsuk}, J. Discrete Math. Sci. Cryptography 21, No. 7--8, 1573--1580 (2018; Zbl 1481.11121) Full Text: DOI OpenURL
Chim, Kwok Chi; Nair, Saranya G.; Shorey, T. N. Explicit \(abc\)-conjecture and its applications. (English) Zbl 1440.11123 Hardy-Ramanujan J. 41, 143-156 (2018). MSC: 11J25 11D75 11N13 11A41 11D41 11Z05 PDF BibTeX XML Cite \textit{K. C. Chim} et al., Hardy-Ramanujan J. 41, 143--156 (2018; Zbl 1440.11123) Full Text: Link OpenURL
Salvi, Massimo On a kind of nonlinear Diophantine equation. (English) Zbl 1429.11064 JP J. Algebra Number Theory Appl. 40, No. 5, 757-773 (2018). MSC: 11D41 11C20 15B36 PDF BibTeX XML Cite \textit{M. Salvi}, JP J. Algebra Number Theory Appl. 40, No. 5, 757--773 (2018; Zbl 1429.11064) Full Text: DOI arXiv OpenURL
Lindqvist, Sofia Partition regularity of generalised Fermat equations. (English) Zbl 1438.11063 Combinatorica 38, No. 6, 1457-1483 (2018). MSC: 11B75 05D10 11D99 PDF BibTeX XML Cite \textit{S. Lindqvist}, Combinatorica 38, No. 6, 1457--1483 (2018; Zbl 1438.11063) Full Text: DOI arXiv OpenURL
Liu, Yanyan On the Fermat’s numbers and the weighted average of \(L\)-functions. (Chinese. English summary) Zbl 1424.11092 Math. Pract. Theory 48, No. 13, 211-215 (2018). MSC: 11F20 11M06 PDF BibTeX XML Cite \textit{Y. Liu}, Math. Pract. Theory 48, No. 13, 211--215 (2018; Zbl 1424.11092) OpenURL
Keskin, Refik; Güney Duman, Merve; Öğüt, Ümmügülsüm On the equations \(V_n = 11 V_mx^2\) and \(V_n = 13V_mx^2\). (English) Zbl 1486.11019 Math. Rep., Buchar. 20(70), No. 4, 337-348 (2018). Reviewer: John H. Loxton (Greenwich) MSC: 11B39 11B37 11B50 11D41 PDF BibTeX XML Cite \textit{R. Keskin} et al., Math. Rep., Buchar. 20(70), No. 4, 337--348 (2018; Zbl 1486.11019) Full Text: Link OpenURL
Porubský, Štefan Idempotents, group membership and their applications. (English) Zbl 06990751 Math. Slovaca 68, No. 6, 1231-1312 (2018). MSC: 20-02 20-03 20M10 20M20 20M25 01A60 11A05 11A07 11B50 11C20 15A33 PDF BibTeX XML Cite \textit{Š. Porubský}, Math. Slovaca 68, No. 6, 1231--1312 (2018; Zbl 06990751) Full Text: DOI OpenURL
Kraus, Alain Quartic points on the Fermat quintic. (Points quartiques sur la quintique de Fermat.) (English. French summary) Zbl 1429.11063 Ann. Math. Blaise Pascal 25, No. 1, 199-205 (2018). MSC: 11D41 11G30 PDF BibTeX XML Cite \textit{A. Kraus}, Ann. Math. Blaise Pascal 25, No. 1, 199--205 (2018; Zbl 1429.11063) Full Text: DOI arXiv OpenURL
Merzbach, Uta C. Dirichlet. A mathematical biography. (English) Zbl 1412.01003 Cham: Birkhäuser (ISBN 978-3-030-01071-3/hbk; 978-3-030-01073-7/ebook). xix, 311 p. (2018). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01-02 01A55 01A70 11-03 PDF BibTeX XML Cite \textit{U. C. Merzbach}, Dirichlet. A mathematical biography. Cham: Birkhäuser (2018; Zbl 1412.01003) Full Text: DOI OpenURL
Shang, Xu Solution on Diophantine equation \({x^2} + 256 = {y^9}\). (Chinese. English summary) Zbl 1413.11067 J. Jiangsu Norm. Univ., Nat. Sci. 36, No. 1, 38-39 (2018). MSC: 11D41 PDF BibTeX XML Cite \textit{X. Shang}, J. Jiangsu Norm. Univ., Nat. Sci. 36, No. 1, 38--39 (2018; Zbl 1413.11067) OpenURL
Porubský, Stefan Semigroup structure of sets of solutions to equation \(X^m=X^s\). (English) Zbl 1424.11170 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 151-167 (2018). MSC: 11T99 11D41 11T06 13F10 20M14 PDF BibTeX XML Cite \textit{S. Porubský}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 151--167 (2018; Zbl 1424.11170) OpenURL
Shimada, Ichiro On Edge’s correspondence associated with \(\cdot 222\). (English) Zbl 1437.11088 Eur. J. Math. 4, No. 1, 399-412 (2018). MSC: 11H06 20C10 14C25 PDF BibTeX XML Cite \textit{I. Shimada}, Eur. J. Math. 4, No. 1, 399--412 (2018; Zbl 1437.11088) Full Text: DOI arXiv OpenURL
Blokhuis, Aart; Cao, Xiwang; Chou, Wun-Seng; Hou, Xiang-Dong On the roots of certain Dickson polynomials. (English) Zbl 1411.11126 J. Number Theory 188, 229-246 (2018). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11T06 11A51 PDF BibTeX XML Cite \textit{A. Blokhuis} et al., J. Number Theory 188, 229--246 (2018; Zbl 1411.11126) Full Text: DOI OpenURL
Arunachalam, P. V. A tale of two treatises (saga of the conquest of Mt Everest of number theory). (English) Zbl 1471.11004 South East Asian J. Math. Math. Sci. 13, No. 2, 149-162 (2017). Reviewer: Victor V. Pambuccian (Glendale) MSC: 11-03 01A60 PDF BibTeX XML Cite \textit{P. V. Arunachalam}, South East Asian J. Math. Math. Sci. 13, No. 2, 149--162 (2017; Zbl 1471.11004) Full Text: Link OpenURL
Kashio, Tomokazu Stark’s conjecture over the rational number field and CM-periods of Fermat curves. (English) Zbl 1415.11157 RIMS Kôkyûroku Bessatsu B64, 93-106 (2017). MSC: 11R27 11M06 11R42 11S80 14H45 PDF BibTeX XML Cite \textit{T. Kashio}, RIMS Kôkyûroku Bessatsu B64, 93--106 (2017; Zbl 1415.11157) OpenURL
Shang, Xu The integer solution on Diophantine equation \({x^2} + {4^n} = {y^{13}}\left ( {n = 4,5,6} \right)\). (Chinese. English summary) Zbl 1399.11096 Pure Appl. Math. 33, No. 4, 377-391 (2017). MSC: 11D41 11D45 PDF BibTeX XML Cite \textit{X. Shang}, Pure Appl. Math. 33, No. 4, 377--391 (2017; Zbl 1399.11096) Full Text: DOI OpenURL
Carbó-Dorca, Ramon Natural vector spaces (inward power and Minkowski norm of a natural vector, natural Boolean hypercubes) and a Fermat’s last theorem conjecture. (English) Zbl 1380.11094 J. Math. Chem. 55, No. 4, 914-940 (2017). MSC: 11Y40 PDF BibTeX XML Cite \textit{R. Carbó-Dorca}, J. Math. Chem. 55, No. 4, 914--940 (2017; Zbl 1380.11094) Full Text: DOI OpenURL
Carbó-Dorca, Ramon; Muñoz-Caro, Camelia; Niño, Alfonso; Reyes, Sebastián Refinement of a generalized Fermat’s last theorem conjecture in natural vector spaces. (English) Zbl 1380.11095 J. Math. Chem. 55, No. 9, 1869-1877 (2017). MSC: 11Y40 PDF BibTeX XML Cite \textit{R. Carbó-Dorca} et al., J. Math. Chem. 55, No. 9, 1869--1877 (2017; Zbl 1380.11095) Full Text: DOI OpenURL
Gras, Georges \(p\)-adic approach of Greenberg’s conjecture for totally real fields. (Approche \(p\)-adique de la conjecture de Greenberg pour les corps totalement réels.) (French. English summary) Zbl 1427.11116 Ann. Math. Blaise Pascal 24, No. 2, 235-291 (2017). MSC: 11R23 11R29 11R37 11Y40 PDF BibTeX XML Cite \textit{G. Gras}, Ann. Math. Blaise Pascal 24, No. 2, 235--291 (2017; Zbl 1427.11116) Full Text: DOI arXiv OpenURL
Dahmen, Sander R.; Kret, Arno Andrew Wiles and the Abel Prize. (Dutch) Zbl 1378.01016 Nieuw Arch. Wiskd. (5) 18, No. 2, 88-98 (2017). MSC: 01A70 11-03 11G05 11D41 PDF BibTeX XML Cite \textit{S. R. Dahmen} and \textit{A. Kret}, Nieuw Arch. Wiskd. (5) 18, No. 2, 88--98 (2017; Zbl 1378.01016) Full Text: Link OpenURL
Darmon, Henri Andrew Wiles’ marvellous proof. (English) Zbl 1372.11002 Eur. Math. Soc. Newsl. 104, 7-13 (2017). MSC: 11-02 11G05 11F80 PDF BibTeX XML Cite \textit{H. Darmon}, Eur. Math. Soc. Newsl. 104, 7--13 (2017; Zbl 1372.11002) Full Text: DOI OpenURL
Gözeri, Gül Karadeniz; Özkoç, Arzu; Tekcan, Ahmet Some algebraic relations on balancing numbers. (English) Zbl 1405.11014 Util. Math. 103, 217-236 (2017). MSC: 11B39 11D41 05A19 PDF BibTeX XML Cite \textit{G. K. Gözeri} et al., Util. Math. 103, 217--236 (2017; Zbl 1405.11014) OpenURL
Hoshi, Akinari Complete solutions to a family of Thue equations of degree 12. (English. French summary) Zbl 1410.11024 J. Théor. Nombres Bordx. 29, No. 2, 549-568 (2017). MSC: 11D41 11D59 11R21 PDF BibTeX XML Cite \textit{A. Hoshi}, J. Théor. Nombres Bordx. 29, No. 2, 549--568 (2017; Zbl 1410.11024) Full Text: DOI OpenURL
Patsolic, Jesse; Rouse, Jeremy Trinomials defining quintic number fields. (English) Zbl 1388.11035 Int. J. Number Theory 13, No. 7, 1881-1894 (2017). Reviewer: Shabnam Akhtari (Eugene) MSC: 11G30 11D41 11G05 PDF BibTeX XML Cite \textit{J. Patsolic} and \textit{J. Rouse}, Int. J. Number Theory 13, No. 7, 1881--1894 (2017; Zbl 1388.11035) Full Text: DOI arXiv OpenURL
Buium, Alexandru Foundations of arithmetic differential geometry. (English) Zbl 1388.11001 Mathematical Surveys and Monographs 222. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3623-0/hbk; 978-1-4704-4089-3/ebook). x, 344 p. (2017). Reviewer: Elmar Große-Klönne (Berlin) MSC: 11-02 11E57 11E08 11E95 11F85 14G20 53C05 53C21 PDF BibTeX XML Cite \textit{A. Buium}, Foundations of arithmetic differential geometry. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1388.11001) Full Text: DOI Link OpenURL
Baxa, Ch. Book review of: U. Zannier (ed.), On some applications of Diophantine approximations. (A translation of Carl Ludwig Siegel’s “Über einige Anwendungen diophantischer Approximationen” by Clemens Fuchs). (English) Zbl 1369.00013 Monatsh. Math. 183, No. 3, 560 (2017). MSC: 00A17 11-02 01A75 11J81 11J91 11D41 PDF BibTeX XML Cite \textit{Ch. Baxa}, Monatsh. Math. 183, No. 3, 560 (2017; Zbl 1369.00013) Full Text: DOI OpenURL
Du, Xiaoni; Li, Zhixia; Wan, Yunqi; Li, Xiaodan Trace representation of binary sequences derived from Euler quotients. (Chinese. English summary) Zbl 1374.94782 J. Northwest Norm. Univ., Nat. Sci. 53, No. 1, 18-21 (2017). MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{X. Du} et al., J. Northwest Norm. Univ., Nat. Sci. 53, No. 1, 18--21 (2017; Zbl 1374.94782) Full Text: DOI OpenURL
Nathanson, Melvyn B. On a Diophantine equation of M. J. Karama. (English) Zbl 1364.11080 Palest. J. Math. 6, No. 2, 524-526 (2017). MSC: 11D25 11D41 11A99 PDF BibTeX XML Cite \textit{M. B. Nathanson}, Palest. J. Math. 6, No. 2, 524--526 (2017; Zbl 1364.11080) Full Text: arXiv Link OpenURL
Lê, François Alfred Clebsch’s “geometrical clothing” of the theory of the quintic equation. (English) Zbl 1360.01025 Arch. Hist. Exact Sci. 71, No. 1, 39-70 (2017). Reviewer: Robert W. van der Waall (Huizen) MSC: 01A55 01A70 11-03 11D41 11E99 11F03 01A85 PDF BibTeX XML Cite \textit{F. Lê}, Arch. Hist. Exact Sci. 71, No. 1, 39--70 (2017; Zbl 1360.01025) Full Text: DOI OpenURL
Filaseta, Michael; Markovich, Maria Newton polygons and the Prouhet-Tarry-Escott problem. (English) Zbl 1396.11057 J. Number Theory 174, 384-400 (2017). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D72 11B75 11D41 11P05 PDF BibTeX XML Cite \textit{M. Filaseta} and \textit{M. Markovich}, J. Number Theory 174, 384--400 (2017; Zbl 1396.11057) Full Text: DOI OpenURL
Müller, Tom On the exponents of non-trivial divisors of odd numbers and a generalization of Proth’s primality theorem. (English) Zbl 1425.11012 J. Integer Seq. 20, No. 2, Article 17.2.7, 15 p. (2017). Reviewer: Amin Witno (Amman) MSC: 11A51 PDF BibTeX XML Cite \textit{T. Müller}, J. Integer Seq. 20, No. 2, Article 17.2.7, 15 p. (2017; Zbl 1425.11012) Full Text: EMIS OpenURL
Badziahin, Dmitry Finding special factors of values of polynomials at integer points. (English) Zbl 1419.11140 Int. J. Number Theory 13, No. 1, 209-228 (2017). MSC: 11Y05 11A51 11C08 PDF BibTeX XML Cite \textit{D. Badziahin}, Int. J. Number Theory 13, No. 1, 209--228 (2017; Zbl 1419.11140) Full Text: DOI OpenURL
Kühn, Ulf; Müller, J. Steffen Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces. (English) Zbl 1360.14079 Trans. Am. Math. Soc. 369, No. 3, 1869-1894 (2017). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G40 11G50 11G30 14H25 PDF BibTeX XML Cite \textit{U. Kühn} and \textit{J. S. Müller}, Trans. Am. Math. Soc. 369, No. 3, 1869--1894 (2017; Zbl 1360.14079) Full Text: DOI arXiv OpenURL
Ribenboim, Paulo Prime numbers, friends who give problems. A trialogue with Papa Paulo. (English) Zbl 1358.00013 Hackensack, NJ: World Scientific (ISBN 978-981-4725-80-4/hbk; 978-981-4725-81-1/pbk; 978-981-4725-83-5/ebook). xiii, 320 p. (2017). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 00A09 11-01 11A41 PDF BibTeX XML Cite \textit{P. Ribenboim}, Prime numbers, friends who give problems. A trialogue with Papa Paulo. Hackensack, NJ: World Scientific (2017; Zbl 1358.00013) Full Text: DOI OpenURL
Evertse, Jan-Hendrik; Győry, Kálmán Discriminant equations in Diophantine number theory. (English) Zbl 1361.11002 New Mathematical Monographs 32. Cambridge: Cambridge University Press (ISBN 978-1-107-09761-2/hbk; 978-1-316-16076-3/ebook). xviii, 457 p. (2017). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11-02 11D41 11R04 PDF BibTeX XML Cite \textit{J.-H. Evertse} and \textit{K. Győry}, Discriminant equations in Diophantine number theory. Cambridge: Cambridge University Press (2017; Zbl 1361.11002) Full Text: DOI OpenURL
Song, Jia; Chen, Yufu The number of solutions to a class of equation systems over finite fields. (Chinese. English summary) Zbl 1489.11051 Sci. Sin., Math. 46, No. 12, 1815-1828 (2016). MSC: 11D45 11D41 11T99 PDF BibTeX XML Cite \textit{J. Song} and \textit{Y. Chen}, Sci. Sin., Math. 46, No. 12, 1815--1828 (2016; Zbl 1489.11051) Full Text: DOI OpenURL
Soydan, G.; Tzanakis, N. Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). (English) Zbl 1425.11059 Bull. Hell. Math. Soc. 60, 125-151 (2016). MSC: 11D61 11D59 11D41 11J86 11Y40 PDF BibTeX XML Cite \textit{G. Soydan} and \textit{N. Tzanakis}, Bull. Hell. Math. Soc. 60, 125--151 (2016; Zbl 1425.11059) Full Text: arXiv Link OpenURL
Gras, Georges Probabilistic study of Fermats quotients. (Étude probabiliste des quotients de Fermat.) (French. English summary) Zbl 1407.11094 Funct. Approximatio, Comment. Math. 54, No. 1, 115-140 (2016). MSC: 11K65 11R18 11N37 PDF BibTeX XML Cite \textit{G. Gras}, Funct. Approximatio, Comment. Math. 54, No. 1, 115--140 (2016; Zbl 1407.11094) Full Text: DOI arXiv Euclid OpenURL
Temirgaliyeva, Zh. N.; Temirgaliyev, N. “Geometry of numbers” in a context of algebraic theory of numbers. (English. Russian original) Zbl 1369.15002 Russ. Math. 60, No. 10, 77-81 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 10, 92-97 (2016). MSC: 15A15 11H99 41A55 11C20 PDF BibTeX XML Cite \textit{Zh. N. Temirgaliyeva} and \textit{N. Temirgaliyev}, Russ. Math. 60, No. 10, 77--81 (2016; Zbl 1369.15002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 10, 92--97 (2016) Full Text: DOI OpenURL
Shorey, Tarlok N.; Tijdeman, Rob Arithmetic properties of blocks of consecutive integers. (English) Zbl 1398.11023 Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer (ISBN 978-3-319-28202-2/hbk; 978-3-319-28203-9/ebook). 455-471 (2016). MSC: 11A51 11D41 PDF BibTeX XML Cite \textit{T. N. Shorey} and \textit{R. Tijdeman}, in: From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 455--471 (2016; Zbl 1398.11023) Full Text: DOI arXiv OpenURL
Liu, Yanyan Anti-sociable numbers of the form \(x^{2^x}+y^{2^x}\). (Chinese. English summary) Zbl 1374.11006 J. Inn. Mong. Norm. Univ., Nat. Sci. 45, No. 4, 473-474, 479 (2016). MSC: 11A25 PDF BibTeX XML Cite \textit{Y. Liu}, J. Inn. Mong. Norm. Univ., Nat. Sci. 45, No. 4, 473--474, 479 (2016; Zbl 1374.11006) OpenURL
Ghusayni, Badih Half a dozen famous unsolved problems in mathematics with a dozen suggestions on how to try to solve them. (English) Zbl 1397.11002 Int. J. Math. Comput. Sci. 11, No. 2, 257-273 (2016). MSC: 11-02 11N05 11P32 11M26 11M06 11Y05 PDF BibTeX XML Cite \textit{B. Ghusayni}, Int. J. Math. Comput. Sci. 11, No. 2, 257--273 (2016; Zbl 1397.11002) Full Text: Link OpenURL