Bennett, Michael A.; Siksek, Samir Differences between perfect powers: the Lebesgue-Nagell equation. (English) Zbl 07618833 Trans. Am. Math. Soc. 376, No. 1, 335-370 (2023). MSC: 11D61 11D41 11F80 11F03 PDF BibTeX XML Cite \textit{M. A. Bennett} and \textit{S. Siksek}, Trans. Am. Math. Soc. 376, No. 1, 335--370 (2023; Zbl 07618833) Full Text: DOI arXiv 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
Zhang, Yong; Tang, Qiongzhi On the integer solutions of the Diophantine equations \(z^2=f(x)^2\pm f(y)^2\). (English) Zbl 07644672 Period. Math. Hung. 85, No. 2, 369-379 (2022). MSC: 11D72 11D41 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Q. Tang}, Period. Math. Hung. 85, No. 2, 369--379 (2022; Zbl 07644672) Full Text: DOI OpenURL
Le, Maohua; Soydan, Gökhan On the power values of the sum of three squares in arithmetic progression. (English) Zbl 07640088 Math. Commun. 27, No. 2, 137-150 (2022). MSC: 11D41 11J86 PDF BibTeX XML Cite \textit{M. Le} and \textit{G. Soydan}, Math. Commun. 27, No. 2, 137--150 (2022; Zbl 07640088) Full Text: arXiv Link OpenURL
Zhang, Yong; Tang, Qiongzhi; Zhang, Yuna On the Diophantine equations \(z^2=f(x)^2 \pm f(y)^2\) involving Laurent polynomials. II. (English) Zbl 07633793 Miskolc Math. Notes 23, No. 2, 1023-1036 (2022). MSC: 11D72 11D25 11D41 11G05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Miskolc Math. Notes 23, No. 2, 1023--1036 (2022; Zbl 07633793) Full Text: DOI 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
Lombardo, Davide A family of quintic Thue equations via Skolem’s \(p\)-adic method. (English) Zbl 1498.11100 Riv. Mat. Univ. Parma (N.S.) 13, No. 1, 161-173 (2022). MSC: 11D59 11D88 11D41 PDF BibTeX XML Cite \textit{D. Lombardo}, Riv. Mat. Univ. Parma (N.S.) 13, No. 1, 161--173 (2022; Zbl 1498.11100) Full Text: arXiv Link OpenURL
Li, Hong Jian; Liu, Ruo Ting; Yuan, Ping Zhi Solutions to a class of integer matrix equation \(X^n + Y^n= \lambda^n I(n \in \mathbb{N}, \lambda \in \mathbb{Z}, \lambda \neq 0)\). (Chinese. English summary) Zbl 07594581 Acta Math. Sin., Chin. Ser. 65, No. 1, 89-114 (2022). MSC: 11D41 11R04 PDF BibTeX XML Cite \textit{H. J. Li} et al., Acta Math. Sin., Chin. Ser. 65, No. 1, 89--114 (2022; Zbl 07594581) Full Text: Link OpenURL
Nguyen Xuan Tho A note on the Diophantine equation \(( x + 1 )^3 + ( x + 2 )^3 + \cdots + ( 2 x )^3 = y^n\). (English) Zbl 07588250 Elem. Math. 77, No. 3, 142-143 (2022). MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Elem. Math. 77, No. 3, 142--143 (2022; Zbl 07588250) Full Text: DOI OpenURL
Hajdu, Lajos; Varga, Nóra Diophantine equations for polynomials with restricted coefficients. I: Power values. (English) Zbl 1500.11028 Bull. Aust. Math. Soc. 106, No. 2, 254-263 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D41 11R09 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{N. Varga}, Bull. Aust. Math. Soc. 106, No. 2, 254--263 (2022; Zbl 1500.11028) Full Text: DOI OpenURL
Terai, Nobuhiro; Fujita, Yasutsugu On exponential Diophantine equations concerning Pythagorean triples. (English) Zbl 07574654 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 07574654) Full Text: DOI OpenURL
Gallardo, Luis H. On the index of odd perfect numbers. (English) Zbl 07569240 Integers 22, Paper A58, 12 p. (2022). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11A25 11D41 PDF BibTeX XML Cite \textit{L. H. Gallardo}, Integers 22, Paper A58, 12 p. (2022; Zbl 07569240) Full Text: Link OpenURL
Mosunov, Anton On the automorphism group of a binary form associated with algebraic trigonometric quantities. (English) Zbl 07567836 J. Number Theory 240, 325-356 (2022). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E76 08A35 11D45 11D59 PDF BibTeX XML Cite \textit{A. Mosunov}, J. Number Theory 240, 325--356 (2022; Zbl 07567836) Full Text: DOI arXiv OpenURL
Majumdar, Dipramit; Sury, B. Cyclic cubic extensions of \(\mathbb{Q}\). (English) Zbl 07566172 Int. J. Number Theory 18, No. 9, 1929-1955 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11D41 12F05 PDF BibTeX XML Cite \textit{D. Majumdar} and \textit{B. Sury}, Int. J. Number Theory 18, No. 9, 1929--1955 (2022; Zbl 07566172) Full Text: DOI arXiv OpenURL
Choudhry, Ajai; Bluskov, Iliya; James, Alexander A Diophantine equation inspired by Brahmagupta’s identity. (English) Zbl 1496.11052 Int. J. Number Theory 18, No. 4, 905-911 (2022). Reviewer: Arman Shamsi Zargar (Ardabil) MSC: 11D25 11D41 PDF BibTeX XML Cite \textit{A. Choudhry} et al., Int. J. Number Theory 18, No. 4, 905--911 (2022; Zbl 1496.11052) Full Text: DOI arXiv OpenURL
Wagstaff, Samuel S. jun. Equal sums of two distinct like powers. (English) Zbl 07534318 J. Integer Seq. 25, No. 3, Article 22.3.1, 10 p. (2022). Reviewer: Yong Zhang (Changsha) MSC: 11D72 11D41 PDF BibTeX XML Cite \textit{S. S. Wagstaff jun.}, J. Integer Seq. 25, No. 3, Article 22.3.1, 10 p. (2022; Zbl 07534318) Full Text: Link OpenURL
Vijayasankar, A.; Kumar, Sharadha; Gopalan, M. A. On non-homogeneous quinary quintic equation \((x^4-y^4)=125(z^2-w^2)p^3\). (English) Zbl 1499.11168 South East Asian J. Math. Math. Sci. 18, No. 1, 27-34 (2022). MSC: 11D41 PDF BibTeX XML Cite \textit{A. Vijayasankar} et al., South East Asian J. Math. Math. Sci. 18, No. 1, 27--34 (2022; Zbl 1499.11168) Full Text: Link OpenURL
Boyer, Simon; Robert, Olivier Rational points on an intersection of diagonal forms. (English) Zbl 07527816 Acta Arith. 203, No. 2, 165-194 (2022). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D72 11D45 11D41 11L07 PDF BibTeX XML Cite \textit{S. Boyer} and \textit{O. Robert}, Acta Arith. 203, No. 2, 165--194 (2022; Zbl 07527816) Full Text: DOI arXiv OpenURL
Bennett, Michael A.; Gherga, Adela; Patel, Vandita; Siksek, Samir Odd values of the Ramanujan tau function. (English) Zbl 07522777 Math. Ann. 382, No. 1-2, 203-238 (2022). MSC: 11D61 11D41 11F80 11F41 PDF BibTeX XML Cite \textit{M. A. Bennett} et al., Math. Ann. 382, No. 1--2, 203--238 (2022; Zbl 07522777) Full Text: DOI arXiv OpenURL
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 OpenURL
Özman, Ekin; Siksek, Samir S-unit equations and the asymptotic Fermat conjecture over number fields. (English) Zbl 07505765 Kurşungöz, Kağan (ed.) et al., Number theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, Istanbul University, Turkey, July 1–5, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 83-103 (2022). MSC: 11D41 11G05 11D61 PDF BibTeX XML Cite \textit{E. Özman} and \textit{S. Siksek}, in: Number theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, Istanbul University, Turkey, July 1--5, 2019. Berlin: De Gruyter. 83--103 (2022; Zbl 07505765) Full Text: DOI arXiv OpenURL
Michaud-Rodgers, Philippe A unique perfect power decagonal number. (English) Zbl 07505693 Bull. Aust. Math. Soc. 105, No. 2, 212-216 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D41 11G99 PDF BibTeX XML Cite \textit{P. Michaud-Rodgers}, Bull. Aust. Math. Soc. 105, No. 2, 212--216 (2022; Zbl 07505693) 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
Mosunov, Anton On the representation of integers by binary forms defined by means of the relation \((x + yi)^n= R_n(x,y) + J_n(x,y)i\). (English) Zbl 1491.11040 Mosc. J. Comb. Number Theory 11, No. 1, 71-78 (2022). Reviewer: István Gaál (Debrecen) MSC: 11E25 11E76 11D59 11D45 PDF BibTeX XML Cite \textit{A. Mosunov}, Mosc. J. Comb. Number Theory 11, No. 1, 71--78 (2022; Zbl 1491.11040) Full Text: DOI arXiv OpenURL
Choudhry, Ajai; Couto, Oliver A new Diophantine equation involving fifth powers. (English) Zbl 1492.11072 Acta Arith. 202, No. 1, 43-53 (2022). Reviewer: Arman Shamsi Zargar (Ardabil) MSC: 11D41 PDF BibTeX XML Cite \textit{A. Choudhry} and \textit{O. Couto}, Acta Arith. 202, No. 1, 43--53 (2022; Zbl 1492.11072) Full Text: DOI arXiv OpenURL
Das, Pranabesh; Dey, Pallab Kanti; Koutsianas, Angelos; Tzanakis, Nikos Perfect powers in sum of three fifth powers. (English) Zbl 1493.11073 J. Number Theory 236, 443-462 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D61 11D41 11F11 11F80 PDF BibTeX XML Cite \textit{P. Das} et al., J. Number Theory 236, 443--462 (2022; Zbl 1493.11073) Full Text: DOI arXiv OpenURL
Hirakawa, Yoshinosuke; Shimizu, Yosuke Counterexamples to the local-global principle for non-singular plane curves and a cubic analogue of Ankeny-Artin-Chowla-Mordell conjecture. (English) Zbl 1490.11039 Proc. Am. Math. Soc. 150, No. 5, 1821-1835 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11D41 11D57 11E76 11N32 11R16 PDF BibTeX XML Cite \textit{Y. Hirakawa} and \textit{Y. Shimizu}, Proc. Am. Math. Soc. 150, No. 5, 1821--1835 (2022; Zbl 1490.11039) Full Text: DOI arXiv 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
Luo, Jiagui Perfect powers of five with few ternary digits. (English) Zbl 07592796 Chin. Ann. Math., Ser. A 42, No. 4, 359-378 (2021). MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{J. Luo}, Chin. Ann. Math., Ser. A 42, No. 4, 359--378 (2021; Zbl 07592796) Full Text: DOI OpenURL
Zhang, Zhongfeng; Togbé, Alain On the Ramanujan-Nagell type Diophantine equation \(Dx^2+k^n=B\). (English) Zbl 1493.11071 Glas. Mat., III. Ser. 56, No. 2, 263-270 (2021). Reviewer: Maciej Ulas (Kraków) MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{A. Togbé}, Glas. Mat., III. Ser. 56, No. 2, 263--270 (2021; Zbl 1493.11071) Full Text: DOI OpenURL
Gaál, István Calculating “small” solutions of inhomogeneous relative Thue inequalities. (English) Zbl 1491.11111 Funct. Approximatio, Comment. Math. 65, No. 2, 141-156 (2021). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11Y50 11D41 11D57 11D59 11D75 PDF BibTeX XML Cite \textit{I. Gaál}, Funct. Approximatio, Comment. Math. 65, No. 2, 141--156 (2021; Zbl 1491.11111) Full Text: DOI arXiv OpenURL
Tengely, Szabolcs; Ulas, Maciej Equal values of certain partition functions via Diophantine equations. (English) Zbl 1498.11098 Res. Number Theory 7, No. 4, Paper No. 67, 21 p. (2021). Reviewer: Hayder Hashim (Kufa) MSC: 11D41 11P83 PDF BibTeX XML Cite \textit{S. Tengely} and \textit{M. Ulas}, Res. Number Theory 7, No. 4, Paper No. 67, 21 p. (2021; Zbl 1498.11098) Full Text: DOI arXiv Backlinks: MO OpenURL
Xu, Biyun; Jiang, Kun; Cao, Wei Remarks on the number of solutions to certain equations over finite fields. (Chinese. English summary) Zbl 1488.11176 Pure Appl. Math. 37, No. 2, 188-197 (2021). MSC: 11T06 11D41 11D45 PDF BibTeX XML Cite \textit{B. Xu} et al., Pure Appl. Math. 37, No. 2, 188--197 (2021; Zbl 1488.11176) Full Text: DOI OpenURL
Cai, Tianxin; Zhang, Yong A variety of Euler’s sum of powers conjecture. (English) Zbl 07442476 Czech. Math. J. 71, No. 4, 1099-1113 (2021). MSC: 11D72 11D41 11G05 PDF BibTeX XML Cite \textit{T. Cai} and \textit{Y. Zhang}, Czech. Math. J. 71, No. 4, 1099--1113 (2021; Zbl 07442476) Full Text: DOI OpenURL
Patel, Vandita A Lucas-Lehmer approach to generalised Lebesgue-Ramanujan-Nagell equations. (English) Zbl 1484.11102 Ramanujan J. 56, No. 2, 585-596 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 11D41 11D59 PDF BibTeX XML Cite \textit{V. Patel}, Ramanujan J. 56, No. 2, 585--596 (2021; Zbl 1484.11102) Full Text: DOI arXiv OpenURL
Chałupka, Karolina Cubic forms, powers of primes and classification of elliptic curves. (English) Zbl 1490.11038 Colloq. Math. 166, No. 1, 137-150 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D41 11G05 PDF BibTeX XML Cite \textit{K. Chałupka}, Colloq. Math. 166, No. 1, 137--150 (2021; Zbl 1490.11038) Full Text: DOI OpenURL
Hirakawa, Yoshinosuke; Kanamura, Yoshinori How to calculate the proportion of everywhere locally soluble diagonal hypersurfaces. (English) Zbl 1492.14038 Int. J. Number Theory 17, No. 10, 2361-2377 (2021). Reviewer: Arman Shamsi Zargar (Ardabil) MSC: 14G12 14G05 11D09 11D25 11D41 11D72 11E76 PDF BibTeX XML Cite \textit{Y. Hirakawa} and \textit{Y. Kanamura}, Int. J. Number Theory 17, No. 10, 2361--2377 (2021; Zbl 1492.14038) Full Text: DOI arXiv OpenURL
Bannai, Eiichi; Bannai, Etsuko; Xiang, Ziqing; Yu, Wei-Hsuan; Zhu, Yan Classification of spherical 2-distance \(\{4,2,1\}\)-designs by solving Diophantine equations. (English) Zbl 1475.05021 Taiwanese J. Math. 25, No. 1, 1-22 (2021). MSC: 05B30 05E30 11D41 PDF BibTeX XML Cite \textit{E. Bannai} et al., Taiwanese J. Math. 25, No. 1, 1--22 (2021; Zbl 1475.05021) Full Text: DOI OpenURL
Godinho, Hemar; Neumann, Victor G. L. The Diophantine equation \(x^2+ p^a q^b= y^q\). (English) Zbl 1486.11051 Int. J. Number Theory 17, No. 9, 2113-2130 (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D41 11D45 PDF BibTeX XML Cite \textit{H. Godinho} and \textit{V. G. L. Neumann}, Int. J. Number Theory 17, No. 9, 2113--2130 (2021; Zbl 1486.11051) Full Text: DOI OpenURL
Choudhry, Ajai New solutions of the Tarry-Escott problem of degrees 2, 3 and 5. (English) Zbl 1479.11057 J. Integer Seq. 24, No. 8, Article 21.8.1, 9 p. (2021). MSC: 11D72 11D25 11D41 PDF BibTeX XML Cite \textit{A. Choudhry}, J. Integer Seq. 24, No. 8, Article 21.8.1, 9 p. (2021; Zbl 1479.11057) Full Text: arXiv Link OpenURL
Luo, Jiagui; Fei, Shuanglin; Li, Yuan On some equations related to Ma’s conjecture. (Chinese. English summary) Zbl 1488.11086 Chin. Ann. Math., Ser. A 42, No. 2, 229-236 (2021). MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{J. Luo} et al., Chin. Ann. Math., Ser. A 42, No. 2, 229--236 (2021; Zbl 1488.11086) Full Text: DOI OpenURL
Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa On the solutions of certain Lebesgue-Ramanujan-Nagell equations. (English) Zbl 1473.11072 Rocky Mt. J. Math. 51, No. 2, 459-471 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11D41 11D61 11R29 PDF BibTeX XML Cite \textit{K. Chakraborty} et al., Rocky Mt. J. Math. 51, No. 2, 459--471 (2021; Zbl 1473.11072) Full Text: 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
Mihăilescu, Preda Improved lower bounds for possible solutions in the second case of the Fermat last theorem and in the Catalan equation. (English) Zbl 1469.11049 J. Number Theory 225, 151-173 (2021). MSC: 11D61 11D41 11R18 11G05 PDF BibTeX XML Cite \textit{P. Mihăilescu}, J. Number Theory 225, 151--173 (2021; Zbl 1469.11049) Full Text: DOI OpenURL
Reznick, Bruce Equal sums of two cubes of quadratic forms. (English) Zbl 1476.11071 Int. J. Number Theory 17, No. 3, 761-786 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E76 14M99 11D41 11D45 PDF BibTeX XML Cite \textit{B. Reznick}, Int. J. Number Theory 17, No. 3, 761--786 (2021; Zbl 1476.11071) Full Text: DOI arXiv OpenURL
Bennett, Michael A.; Koutsianas, Angelos The equation \((x-d)^5+x^5+(x+d)^5=y^n\). (English) Zbl 1475.11049 Acta Arith. 198, No. 4, 387-399 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{M. A. Bennett} and \textit{A. Koutsianas}, Acta Arith. 198, No. 4, 387--399 (2021; Zbl 1475.11049) Full Text: DOI arXiv OpenURL
van Langen, Joey M. On the sum of fourth powers in arithmetic progression. (English) Zbl 1475.11051 Int. J. Number Theory 17, No. 1, 191-221 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11D61 11D41 11F11 11F80 PDF BibTeX XML Cite \textit{J. M. van Langen}, Int. J. Number Theory 17, No. 1, 191--221 (2021; Zbl 1475.11051) Full Text: DOI arXiv OpenURL
Noubissie, Armand; Togbé, Alain On some ternary Diophantine equations of signature \((p,p,k)\). (English) Zbl 1483.11063 Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 163-170 (2021). MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{A. Noubissie} and \textit{A. Togbé}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 163--170 (2021; Zbl 1483.11063) Full Text: DOI OpenURL
Dieulefait, Luis; Soto, Eduardo Solving \(a x^p + b y^p = c z^p\) with \(abc\) containing an arbitrary number of prime factors. (English) Zbl 1478.11040 Mediterr. J. Math. 18, No. 2, Paper No. 48, 24 p. (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D41 11F33 11F80 11G05 11D61 11R18 PDF BibTeX XML Cite \textit{L. Dieulefait} and \textit{E. Soto}, Mediterr. J. Math. 18, No. 2, Paper No. 48, 24 p. (2021; Zbl 1478.11040) Full Text: DOI arXiv OpenURL
Bennett, Michael A. Integers represented by \(x^4 - y^4\) revisited. (English) Zbl 1472.11096 Bull. Aust. Math. Soc. 103, No. 1, 38-49 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D41 11F33 11F80 11G05 PDF BibTeX XML Cite \textit{M. A. Bennett}, Bull. Aust. Math. Soc. 103, No. 1, 38--49 (2021; Zbl 1472.11096) Full Text: DOI OpenURL
Iokibe, Gaku Remark on a paper by Izadi and Baghalaghdam about cubes and fifth powers sums. (English) Zbl 1483.11062 Math. J. Okayama Univ. 63, 53-60 (2021). MSC: 11D41 11D45 14H52 PDF BibTeX XML Cite \textit{G. Iokibe}, Math. J. Okayama Univ. 63, 53--60 (2021; Zbl 1483.11062) Full Text: arXiv Link OpenURL
Sharipov, R. A. Symmetry-based approach to the problem of a perfect cuboid. (English. Russian original) Zbl 1483.11059 J. Math. Sci., New York 252, No. 2, 266-282 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 143-158 (2018). MSC: 11D09 11D41 11D72 PDF BibTeX XML Cite \textit{R. A. Sharipov}, J. Math. Sci., New York 252, No. 2, 266--282 (2021; Zbl 1483.11059); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 143--158 (2018) Full Text: DOI OpenURL
Hashim, Hayder R. Solutions of the Diophantine equation \(7X^2 + Y^7 = Z^2\) from recurrence sequences. (English) Zbl 1483.11061 Commun. Math. 28, No. 1, 55-66 (2020). MSC: 11D41 11B39 PDF BibTeX XML Cite \textit{H. R. Hashim}, Commun. Math. 28, No. 1, 55--66 (2020; Zbl 1483.11061) Full Text: DOI OpenURL
Murru, Nadir A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees. (English) Zbl 1481.11031 Ramanujan J. 53, No. 3, 693-703 (2020). Reviewer: Paul Voutier (London) MSC: 11D09 11D41 PDF BibTeX XML Cite \textit{N. Murru}, Ramanujan J. 53, No. 3, 693--703 (2020; Zbl 1481.11031) Full Text: DOI arXiv OpenURL
Ghanmi, Nejib; Abu Muriefah, Fadwa S. On the Diophantine equation \(Cx^2+D=2y^q\). (English) Zbl 1484.11099 Ramanujan J. 53, No. 2, 389-397 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 11D41 11Y50 PDF BibTeX XML Cite \textit{N. Ghanmi} and \textit{F. S. Abu Muriefah}, Ramanujan J. 53, No. 2, 389--397 (2020; Zbl 1484.11099) Full Text: DOI OpenURL
Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations. (English) Zbl 1474.11090 Publ. Math. Debr. 97, No. 3-4, 339-352 (2020). Reviewer: Wen-Fong Ke (Tainan) MSC: 11D41 11R29 PDF BibTeX XML Cite \textit{K. Chakraborty} et al., Publ. Math. Debr. 97, No. 3--4, 339--352 (2020; Zbl 1474.11090) Full Text: DOI arXiv OpenURL
Shabani-Solt, H.; Yusefnejad, N.; Janfada, A. S. On the Diophantine equation \(x^6+ky^3=z^6+kw^3\). (English) Zbl 1455.11170 Iran. J. Math. Sci. Inform. 15, No. 1, 15-21 (2020). MSC: 11Y50 11G05 11D41 PDF BibTeX XML Cite \textit{H. Shabani-Solt} et al., Iran. J. Math. Sci. Inform. 15, No. 1, 15--21 (2020; Zbl 1455.11170) Full Text: Link OpenURL
Fujita, Y.; Terai, N. On the generalized Ramanujan-Nagell equation \(x^2+(2c-1)^m=c^n\). (English) Zbl 1474.11097 Acta Math. Hung. 162, No. 2, 518-526 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D61 11D41 PDF BibTeX XML Cite \textit{Y. Fujita} and \textit{N. Terai}, Acta Math. Hung. 162, No. 2, 518--526 (2020; Zbl 1474.11097) Full Text: DOI OpenURL
Nguyen Xuan Tho On the equation \(y^2=x^6+k\). (English) Zbl 1466.14027 Rocky Mt. J. Math. 50, No. 6, 2167-2178 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 14G05 11D41 14G25 11R11 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Rocky Mt. J. Math. 50, No. 6, 2167--2178 (2020; Zbl 1466.14027) Full Text: DOI Euclid OpenURL
Hirakawa, Yoshinosuke Counterexamples to the local-global principle associated with Swinnerton-Dyer’s cubic form. (English) Zbl 1494.11034 Rocky Mt. J. Math. 50, No. 6, 2097-2102 (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11D57 11D41 11D72 11R18 PDF BibTeX XML Cite \textit{Y. Hirakawa}, Rocky Mt. J. Math. 50, No. 6, 2097--2102 (2020; Zbl 1494.11034) Full Text: DOI arXiv Euclid OpenURL
Zhou, Xingwang A number theoretic method for high order correlation functions of the Ulam map. (English) Zbl 1463.11104 J. Sichuan Univ., Nat. Sci. Ed. 57, No. 3, 435-442 (2020). MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{X. Zhou}, J. Sichuan Univ., Nat. Sci. Ed. 57, No. 3, 435--442 (2020; Zbl 1463.11104) Full Text: DOI OpenURL
Andruszkiewicz, R. R.; Andruszkiewicz, N. Elementary proof of Nagell’s theorem. (English) Zbl 1472.11102 Azerb. J. Math. 10, No. 2, 62-70 (2020). MSC: 11D61 11D41 PDF BibTeX XML Cite \textit{R. R. Andruszkiewicz} and \textit{N. Andruszkiewicz}, Azerb. J. Math. 10, No. 2, 62--70 (2020; Zbl 1472.11102) Full Text: Link OpenURL
Işik, Erman; Kara, Yasemin; Özman, Ekin On ternary Diophantine equations of signature \((p,p,2)\) over number fields. (English) Zbl 1478.11041 Turk. J. Math. 44, No. 4, 1197-1211 (2020). MSC: 11D41 11G05 11D45 PDF BibTeX XML Cite \textit{E. Işik} et al., Turk. J. Math. 44, No. 4, 1197--1211 (2020; Zbl 1478.11041) Full Text: DOI arXiv OpenURL
Hajdu, L.; Papp, Á. Polynomial values of products of terms from an arithmetic progression. (English) Zbl 1453.11048 Monatsh. Math. 193, No. 3, 637-655 (2020); correction ibid. 195, No. 2, 377 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11D41 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{Á. Papp}, Monatsh. Math. 193, No. 3, 637--655 (2020; Zbl 1453.11048) Full Text: DOI OpenURL
Noubissie, Armand; Togbé, Alain; Zhang, Zhongfeng On the exponential Diophantine equation \((a^n-1)(b^n-1)=x^2\). (English) Zbl 1465.11083 Bull. Belg. Math. Soc. - Simon Stevin 27, No. 2, 161-166 (2020). Reviewer: Gökhan Soydan (Bursa) MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{A. Noubissie} et al., Bull. Belg. Math. Soc. - Simon Stevin 27, No. 2, 161--166 (2020; Zbl 1465.11083) Full Text: DOI Euclid OpenURL
Choudhry, Ajai An improvement of Prouhet’s 1851 result on multigrade chains. (English) Zbl 1478.11051 Int. J. Number Theory 16, No. 7, 1425-1432 (2020). MSC: 11D72 11D41 PDF BibTeX XML Cite \textit{A. Choudhry}, Int. J. Number Theory 16, No. 7, 1425--1432 (2020; Zbl 1478.11051) Full Text: DOI arXiv OpenURL
Zhang, Yong; Shamsi Zargar, Arman On the Diophantine equations \(z^2=f(x)^2 \pm f(y)^2\) involving Laurent polynomials. (English) Zbl 1450.11029 Funct. Approximatio, Comment. Math. 62, No. 2, 187-201 (2020). Reviewer: Maciej Ulas (Kraków) MSC: 11D72 11D25 11D41 11G05 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{A. Shamsi Zargar}, Funct. Approximatio, Comment. Math. 62, No. 2, 187--201 (2020; Zbl 1450.11029) Full Text: DOI arXiv Euclid OpenURL
Das, Pranabesh; Dey, Pallab Kanti; Maji, Bibekananda; Rout, Sudhansu Sekhar Perfect powers in an alternating sum of consecutive cubes. (English) Zbl 1480.11040 Glas. Mat., III. Ser. 55, No. 1, 37-53 (2020). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D61 11D41 11F11 11F80 PDF BibTeX XML Cite \textit{P. Das} et al., Glas. Mat., III. Ser. 55, No. 1, 37--53 (2020; Zbl 1480.11040) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{A. Bazsó} et al., Glas. Mat., III. Ser. 55, No. 1, 13--27 (2020; Zbl 07222697) Full Text: DOI Link OpenURL
Bennett, Michael A.; Gherga, Adela; Kreso, Dijana An old and new approach to Goormaghtigh’s equation. (English) Zbl 1482.11047 Trans. Am. Math. Soc. 373, No. 8, 5707-5745 (2020). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D41 11D61 11J68 11Y50 PDF BibTeX XML Cite \textit{M. A. Bennett} et al., Trans. Am. Math. Soc. 373, No. 8, 5707--5745 (2020; Zbl 1482.11047) Full Text: DOI OpenURL
Badr, Eslam; Bars, Francesc Hypersurface model-fields of definition for smooth hypersurfaces and their twists. (English) Zbl 1442.14137 Acta Arith. 194, No. 3, 267-280 (2020). MSC: 14J70 11D72 11D41 14J50 14F22 PDF BibTeX XML Cite \textit{E. Badr} and \textit{F. Bars}, Acta Arith. 194, No. 3, 267--280 (2020; Zbl 1442.14137) Full Text: DOI arXiv OpenURL
Sharma, Richa On Lebesgue-Ramanujan-Nagell type equations. (English) Zbl 1447.11053 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 147-161 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11D61 11D41 PDF BibTeX XML Cite \textit{R. Sharma}, 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. 147--161 (2020; Zbl 1447.11053) Full Text: DOI OpenURL
Argáez-García, Alejandro; Patel, Vandita On perfect powers that are sums of cubes of a seven term arithmetic progression. (English) Zbl 1459.11090 J. Number Theory 214, 440-451 (2020). MSC: 11D61 11D41 11D59 11J86 PDF BibTeX XML Cite \textit{A. Argáez-García} and \textit{V. Patel}, J. Number Theory 214, 440--451 (2020; Zbl 1459.11090) Full Text: DOI arXiv OpenURL
Koymans, Peter; Pagano, Carlo Unit equations and Fermat surfaces in positive characteristic. (English) Zbl 1455.11050 Acta Arith. 193, No. 2, 133-156 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D41 11D61 PDF BibTeX XML Cite \textit{P. Koymans} and \textit{C. Pagano}, Acta Arith. 193, No. 2, 133--156 (2020; Zbl 1455.11050) Full Text: DOI arXiv Link OpenURL
Bennett, Michael A.; Garbuz, Ben; Marten, Adam Goormaghtigh’s equation: small parameters. (English) Zbl 1449.11059 Publ. Math. Debr. 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. Debr. 96, No. 1--2, 91--110 (2020; Zbl 1449.11059) Full Text: DOI OpenURL
Zhang, Yong; Chen, Deyi A Diophantine equation with the harmonic mean. (English) Zbl 1449.11070 Period. Math. Hung. 46, No. 1, 138-144 (2020). Reviewer: Thomas A. Schmidt (Corvallis) MSC: 11D72 11D25 11D41 11G05 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{D. Chen}, Period. Math. Hung. 46, No. 1, 138--144 (2020; Zbl 1449.11070) Full Text: DOI OpenURL
Bennett, Michael; Siksek, Samir A conjecture of Erdős, supersingular primes and short character sums. (English) Zbl 1440.11039 Ann. Math. (2) 191, No. 2, 355-392 (2020). Reviewer: Mahadi Ddamulira (Graz) MSC: 11D61 11D41 11F80 11F41 PDF BibTeX XML Cite \textit{M. Bennett} and \textit{S. Siksek}, Ann. Math. (2) 191, No. 2, 355--392 (2020; Zbl 1440.11039) Full Text: DOI arXiv Link OpenURL
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 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
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 arXiv OpenURL
Marques, Diego; Trojovský, Pavel On characteristic polynomial of higher order generalized Jacobsthal numbers. (English) Zbl 1485.11061 Adv. Difference Equ. 2019, Paper No. 392, 9 p. (2019). MSC: 11B83 11D61 11D41 PDF BibTeX XML Cite \textit{D. Marques} and \textit{P. Trojovský}, Adv. Difference Equ. 2019, Paper No. 392, 9 p. (2019; Zbl 1485.11061) Full Text: DOI OpenURL
Keskin, Refik; Öğüt, Ümmügülsüm Generalized Lucas numbers of the form \(11x^2\mp 1\). (English) Zbl 1488.11027 Hacet. J. Math. Stat. 48, No. 4, 1035-1045 (2019). MSC: 11B37 11B39 11B50 11B99 11D41 PDF BibTeX XML Cite \textit{R. Keskin} and \textit{Ü. Öğüt}, Hacet. J. Math. Stat. 48, No. 4, 1035--1045 (2019; Zbl 1488.11027) Full Text: Link 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
Bugeaud, Yann; Kaneko, Hajime On perfect powers in linear recurrence sequences of integers. (English) Zbl 1480.11037 Kyushu J. Math. 73, No. 2, 221-227 (2019). Reviewer: Clemens Fuchs (Salzburg) MSC: 11D41 11B37 PDF BibTeX XML Cite \textit{Y. Bugeaud} and \textit{H. Kaneko}, Kyushu J. Math. 73, No. 2, 221--227 (2019; Zbl 1480.11037) Full Text: DOI OpenURL
Reznick, Bruce Linearly dependent powers of binary quadratic forms. (English) Zbl 1456.11044 Pac. J. Math. 303, No. 2, 729-755 (2019). MSC: 11E76 11P05 14M99 11D25 11D41 PDF BibTeX XML Cite \textit{B. Reznick}, Pac. J. Math. 303, No. 2, 729--755 (2019; Zbl 1456.11044) Full Text: DOI arXiv OpenURL
Miyazaki, Takafumi Application of cubic residue theory to an exponential equation concerning Eisenstein triples. (English) Zbl 07157370 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 3, 305-312 (2019). MSC: 11D61 11A15 11D41 PDF BibTeX XML Cite \textit{T. Miyazaki}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 3, 305--312 (2019; Zbl 07157370) 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
Granville, Andrew Number theory revealed: a masterclass. (English) Zbl 1454.11002 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4158-6/hbk; 978-1-4704-5424-1/ebook). xxviii, 587 p. (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11A55 11B30 11B39 11D09 11D25 11N05 11N25 PDF BibTeX XML Cite \textit{A. Granville}, Number theory revealed: a masterclass. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1454.11002) OpenURL
Saradha, N. More variants of Erdős-Selfridge superelliptic curves and their rational points. (English) Zbl 1455.11091 Indian J. Pure Appl. Math. 50, No. 2, 333-342 (2019). MSC: 11G30 11D41 14G05 PDF BibTeX XML Cite \textit{N. Saradha}, Indian J. Pure Appl. Math. 50, No. 2, 333--342 (2019; Zbl 1455.11091) Full Text: DOI OpenURL
Bhatter, S.; Hoque, A.; Sharma, R. On the solutions of a Lebesgue-Nagell type equation. (English) Zbl 1438.11083 Acta Math. Hung. 158, No. 1, 17-26 (2019). MSC: 11D61 11D41 11R29 PDF BibTeX XML Cite \textit{S. Bhatter} et al., Acta Math. Hung. 158, No. 1, 17--26 (2019; Zbl 1438.11083) Full Text: DOI arXiv OpenURL
Bridy, Andrew; Oliver, Robert J. Lemke; Shallit, Arlo; Shallit, Jeffrey The generalized Nagell-Ljunggren problem: powers with repetitive representations. (English) Zbl 1475.11050 Exp. Math. 28, No. 4, 428-439 (2019). Reviewer: Michael A. Bennett (Vancouver) MSC: 11D61 11A63 11Y50 11D41 PDF BibTeX XML Cite \textit{A. Bridy} et al., Exp. Math. 28, No. 4, 428--439 (2019; Zbl 1475.11050) Full Text: DOI arXiv OpenURL
Youmbai, Ahmed El Amine; Behloul, Djilali Rational solutions of the Diophantine equations \(f(x)^2\pm f(y)^2=z^2\). (English) Zbl 1449.11062 Period. Math. Hung. 79, No. 2, 255-260 (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11D45 11D41 14H52 PDF BibTeX XML Cite \textit{A. E. A. Youmbai} and \textit{D. Behloul}, Period. Math. Hung. 79, No. 2, 255--260 (2019; Zbl 1449.11062) Full Text: DOI OpenURL
Gamburd, Alexander; Magee, Michael; Ronan, Ryan An asymptotic formula for integer points on Markoff-Hurwitz varieties. (English) Zbl 1447.11051 Ann. Math. (2) 190, No. 3, 751-809 (2019). Reviewer: Arthur Baragar (Las Vegas) MSC: 11D45 11D25 11D41 11J70 37D25 37D35 PDF BibTeX XML Cite \textit{A. Gamburd} et al., Ann. Math. (2) 190, No. 3, 751--809 (2019; Zbl 1447.11051) Full Text: DOI arXiv Link OpenURL
Edis, Sam On a variation of the Erdős-Selfridge superelliptic curve. (English) Zbl 1453.11050 Bull. Lond. Math. Soc. 51, No. 4, 633-638 (2019). Reviewer: István Gaál (Debrecen) MSC: 11D61 11D41 11F80 PDF BibTeX XML Cite \textit{S. Edis}, Bull. Lond. Math. Soc. 51, No. 4, 633--638 (2019; Zbl 1453.11050) Full Text: DOI Link OpenURL
Zhang, Yong; Shamsi Zargar, Arman On the Diophantine equation \(f(x)f(y)=f(z)^n\) involving Laurent polynomials. II. (English) Zbl 1450.11028 Colloq. Math. 158, No. 1, 119-126 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11D72 11D25 11D41 11G05 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{A. Shamsi Zargar}, Colloq. Math. 158, No. 1, 119--126 (2019; Zbl 1450.11028) Full Text: DOI OpenURL
Duplij, Steven Arity shape of polyadic algebraic structures. (English) Zbl 1433.11031 J. Math. Phys. Anal. Geom. 15, No. 1, 3-56 (2019). MSC: 11D41 11R04 11R06 17A42 20N15 47A05 47L30 47L70 47L80 PDF BibTeX XML Cite \textit{S. Duplij}, J. Math. Phys. Anal. Geom. 15, No. 1, 3--56 (2019; Zbl 1433.11031) Full Text: DOI arXiv OpenURL
Choudhry, Ajai Symmetric Diophantine systems and families of elliptic curves of high rank. (English) Zbl 1457.11074 Rocky Mt. J. Math. 49, No. 5, 1419-1447 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11D25 11D41 PDF BibTeX XML Cite \textit{A. Choudhry}, Rocky Mt. J. Math. 49, No. 5, 1419--1447 (2019; Zbl 1457.11074) Full Text: DOI arXiv Euclid OpenURL
Zhang, Yong; Shamsi Zargar, Arman On the Diophantine equations \(z^2=f(x)^2\pm f(y)^2\) involving quartic polynomials. (English) Zbl 1438.11090 Period. Math. Hung. 79, No. 1, 25-31 (2019). Reviewer: Thomas Schmidt (Corvallis) MSC: 11D72 11D25 11D41 11G05 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{A. Shamsi Zargar}, Period. Math. Hung. 79, No. 1, 25--31 (2019; Zbl 1438.11090) Full Text: DOI OpenURL