Aydın, Muhittin Evren; Mihai, Adela; Özgür, Cihan Pythagorean submanifolds. (English) Zbl 07926431 Chen, Bang-Yen (ed.) et al., Geometry of submanifolds and applications. Singapore: Springer. Infosys Sci. Found. Ser., 89-98 (2024). MSC: 11C20 53B25 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Austin, Jathan On Pythagorean triple preserving matrices that contain Fibonacci numbers. (English) Zbl 1539.11031 Fibonacci Q. 61, No. 4, 321-326 (2023). Reviewer: Jorma K. Merikoski (Tampere) MSC: 11B39 11D09 11C20 × Cite Format Result Cite Review PDF Full Text: Link
Aydin, Muhittin Evren; Mihai, Adela; Ozgur, Cihan Pythagorean submanifolds in Euclidean spaces. (English) Zbl 1535.53055 Result. Math. 78, No. 6, Paper No. 211, 15 p. (2023). Reviewer: Fernando Etayo Gordejuela (Santander) MSC: 53C40 53C42 53B25 × Cite Format Result Cite Review PDF Full Text: DOI
Kitayama, Hidetaka; Tagawa, Hiroyuki; Urahashi, Keiichi Jeśmanowicz’ conjecture for non-primitive Pythagorean triples. (English) Zbl 1538.11091 Period. Math. Hung. 86, No. 2, 442-453 (2023). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D09 11D41 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Hai; Fu, Ruiqin A further note on Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. (English) Zbl 1495.11054 Mediterr. J. Math. 19, No. 2, Paper No. 57, 8 p. (2022). MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Došlić, Tomislav; Réti, Tamás; Ali, Akbar On the structure of graphs with integer Sombor indices. (English) Zbl 1513.05081 DML, Discrete Math. Lett. 7, 1-4 (2021). MSC: 05C09 05C07 05C92 92E10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Burger, Alewyn P.; Harborth, Heiko; Möller, Meinhard Plane integral drawings of the Platonic solid graphs with triangle faces. (English) Zbl 1499.05163 DML, Discrete Math. Lett. 6, 60-67 (2021). MSC: 05C10 05C62 11D09 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Le, Maohua; Soydan, Gökhan A note on Terai’s conjecture concerning primitive Pythagorean triples. (English) Zbl 1488.11093 Hacet. J. Math. Stat. 50, No. 4, 911-917 (2021). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Fujita, Yasutsugu; Le, Maohua Dem’janenko’s theorem on Jeśmanowicz’ conjecture concerning Pythagorean triples revisited. (English) Zbl 1497.11081 Bull. Malays. Math. Sci. Soc. (2) 44, No. 6, 4059-4083 (2021). MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Balfaqih, Abdulrahman; Kamarulhaili, Hailiza Corrigendum to: “On the Diophantine equation \((132k)^x+(4355k)^y=(4357k)^z\)”. (English) Zbl 1499.11170 Int. J. Math. Comput. Sci. 16, No. 4, 1745-1769 (2021). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Fujita, Yasutsugu; Le, Maohua A note on Jeśmanowicz’ conjecture concerning nonprimitive Pythagorean triples. (English) Zbl 1471.11124 Bull. Aust. Math. Soc. 104, No. 1, 29-39 (2021). MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Ruiqin; Yang, Hai A note on the exceptional solutions of Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. (English) Zbl 1474.11098 Period. Math. Hung. 81, No. 2, 275-283 (2020). MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Balfaqih, Abdulrahman; Kamarulhaili, Hailiza New result on Jeśmanowicz’ conjecture. (English) Zbl 1468.11091 Int. J. Math. Comput. Sci. 15, No. 3, 963-973 (2020). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Cha, Byungchul; Kim, Dong Han Number theoretical properties of Romik’s dynamical system. (English) Zbl 1450.11068 Bull. Korean Math. Soc. 57, No. 1, 251-274 (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Austin, Jathan Generating Pythagorean triples of a given height. (English) Zbl 1477.11050 Missouri J. Math. Sci. 31, No. 2, 136-145 (2019). MSC: 11D09 11C20 15B36 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Yang, Hai; Fu, Ruiqin An open problem on Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. (English) Zbl 1477.11062 Glas. Mat., III. Ser. 54, No. 2, 271-277 (2019). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Stolarsky, Kenneth B. Twin composites, strange continued fractions, and a transformation that Euler missed (Twice). (English) Zbl 1431.11014 Ann. Comb. 23, No. 3-4, 1087-1104 (2019). MSC: 11A55 11C08 11R32 12D05 12D10 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Mou-Jie; Guo, Jin Application of quartic residue character theory to the Diophantine equation \(a^x+b^y=c^z\). (English) Zbl 1449.11064 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 2, 133-139 (2019). Reviewer: István Gaál (Debrecen) MSC: 11D61 × Cite Format Result Cite Review PDF
Balfaqih, Abdulrahman; Kamarulhaili, Hailiza On the Diophantine equation \((132k)^x+(4355k)^y=(4357k)^z\). (English) Zbl 1436.11030 Int. J. Math. Comput. Sci. 14, No. 4, 775-786 (2019); corrigendum ibid. 16, No. 4, 1745-1769 (2021). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Wu, Huaming On Terai’s conjecture concerning 7-th generalized Pythagorean triples. (Chinese. English summary) Zbl 1438.11088 Math. Pract. Theory 49, No. 2, 259-264 (2019). MSC: 11D61 × Cite Format Result Cite Review PDF
Chaubey, Sneha; Fuchs, Elena; Hines, Robert; Stange, Katherine E. The dynamics of super-Apollonian continued fractions. (English) Zbl 1436.11011 Trans. Am. Math. Soc. 372, No. 4, 2287-2334 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11A55 11J70 11E20 37A44 37F31 52C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crasmareanu, Mircea Conics from symmetric Pythagorean triple preserving matrices. (English) Zbl 1477.11051 Int. Electron. J. Geom. 12, No. 1, 85-92 (2019). Reviewer: Vladimir P. Kostov (Nice) MSC: 11D09 51N20 30C10 × Cite Format Result Cite Review PDF
Chen, Fengjuan On the Diophantine equation \({\left ( {na} \right)^x} + {\left ( {nb} \right)^y} = {\left ( {nc} \right)^z}\). (English) Zbl 1424.11081 Adv. Math., Beijing 47, No. 3, 388-392 (2018). MSC: 11D61 × Cite Format Result Cite Review PDF
Asmaryan, Emil On the generation of Pythagorean triples and representation of integers as a difference of two squares. (English) Zbl 1445.11019 Int. J. Math. Comput. Sci. 13, No. 1, 59-71 (2018). MSC: 11D09 11D85 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Han, Q.; Yuan, P. A note on Jeśmanowicz’ conjecture. (English) Zbl 1424.11083 Acta Math. Hung. 156, No. 1, 220-225 (2018). MSC: 11D61 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Eliahou, Shalom; Fromentin, Jean; Marion-Poty, Virginie; Robilliard, Denis Are monochromatic Pythagorean triples unavoidable under morphic colorings? (English) Zbl 1403.05155 Exp. Math. 27, No. 4, 419-425 (2018). MSC: 05D10 11B75 11D09 68T20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yuan, Pingzhi; Han, Qing Jeśmanowicz’ conjecture and related equations. (English) Zbl 1410.11029 Acta Arith. 184, No. 1, 37-49 (2018). MSC: 11D61 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Tingting; Wang, Xiaonan; Jiang, Yingzhao An application of the Baker method to Jeśmanowicz’ conjecture on Pythagorean triples. (English) Zbl 1431.11047 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 2, 385-390 (2018). MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Baoli The exponential Diophantine equation \({\left({143n} \right)^x}+{\left({24n} \right)^y}={\left({145n} \right)^z}\). (Chinese. English summary) Zbl 1399.11102 Math. Pract. Theory 47, No. 20, 178-182 (2017). MSC: 11D61 × Cite Format Result Cite Review PDF
Yang, Hai; Fu, Ruiqin Jeśmanowicz’ conjecture with Fermat primes. (Chinese. English summary) Zbl 1399.11107 Adv. Math., Beijing 46, No. 6, 857-866 (2017). MSC: 11D61 11A41 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Hai; Ren, Rongzhen; Fu, Ruiqin The Jeśmanowicz’ conjecture on Pythagorean triples. (Chinese. English summary) Zbl 1399.11108 J. Math., Wuhan Univ. 37, No. 3, 506-512 (2017). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Mou-Jie; Guo, Jin A note on Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. II. (English) Zbl 1399.11099 Acta Math. Hung. 153, No. 2, 436-448 (2017). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Murru, Nadir; Abrate, Marco; Barbero, Stefano; Cerruti, Umberto Groups and monoids of Pythagorean triples connected to conics. (English) Zbl 1432.11033 Open Math. 15, 1323-1331 (2017). MSC: 11D09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF
Ma, Mi-Mi; Chen, Yong-Gao Jeśmanowicz’ conjecture on Pythagorean triples. (English) Zbl 1425.11057 Bull. Aust. Math. Soc. 96, No. 1, 30-35 (2017). MSC: 11D61 11D09 × Cite Format Result Cite Review PDF Full Text: DOI
Karama, Muneer Jebreel Generalizations of B.Berggren and price matrices. (English) Zbl 1401.15032 Palest. J. Math. 6, No. 2, 528-532 (2017). MSC: 15B36 11C20 × Cite Format Result Cite Review PDF Full Text: Link
Sun, Zhi-Wei Refining Lagrange’s four-square theorem. (English) Zbl 1407.11054 J. Number Theory 175, 167-190 (2017). MSC: 11E25 11D85 11E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Izadi, Farzali; Nabardi, Kamran A family of elliptic curves of rank 4. (English) Zbl 1383.11080 Involve 9, No. 5, 733-736 (2016). MSC: 11G05 14H52 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
Antalan, John Rafael M.; Tagle, Richard P. Numeric palindromes in primitive and non-primitive Pythagorean triples. (English) Zbl 1499.11160 JP J. Algebra Number Theory Appl. 37, No. 1, 21-30 (2015). MSC: 11D09 11A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miyazaki, T.; Terai, N. On Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. II. (English) Zbl 1374.11056 Acta Math. Hung. 147, No. 2, 286-293 (2015). Reviewer: Attila Bérczes (Debrecen) MSC: 11D61 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Bourgain, Jean; Kontorovich, Alex The affine sieve beyond expansion. I: Thin hypotenuses. (English) Zbl 1347.11068 Int. Math. Res. Not. 2015, No. 19, 9175-9205 (2015). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N35 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Mi-Mi; Wu, Jian-Dong On the Diophantine equation \((an)^{x}+(bn)^{y}=(cn)^{z}\). (English) Zbl 1335.11027 Bull. Korean Math. Soc. 52, No. 4, 1133-1138 (2015). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Hai; Fu, Ruiqin A note on Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. (English) Zbl 1395.11066 J. Number Theory 156, 183-194 (2015). MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, Byung Keon; Han, Ji-Woo; Kim, Tae Hyun; Koo, Ryun Han; Lee, Bon Woo; Lee, Jaehoon; Nam, Kyeong Sik; Park, Hyeon Woo; Park, Poo-Sung Frobenius numbers of Pythagorean triples. (English) Zbl 1365.11025 Int. J. Number Theory 11, No. 2, 613-619 (2015); acknowledgement of priority ibid. 11, No. 3, 1061-1062 (2015). MSC: 11D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Maohua; Togbé, Alain; Zhu, Huilin On a pure ternary exponential Diophantine equation. (English) Zbl 1340.11041 Publ. Math. Debr. 85, No. 3-4, 395-411 (2014). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Cooper, Joshua; Filaseta, Michael; Harrington, Joshua; White, Daniel On colorings of Pythagorean triples within colorings of the positive integers. (English) Zbl 1374.11033 J. Comb. Number Theory 6, No. 1, 1-16 (2014). MSC: 11B75 11B05 11A07 05C15 × Cite Format Result Cite Review PDF Full Text: Link
Sluyser, Mels ‘Codons’ instead of Pythagorean triples: an extension of Pythagorean theory. (English) Zbl 1371.11075 Math. Sci. 39, No. 2, 125-127 (2014). MSC: 11D09 × Cite Format Result Cite Review PDF
Unger, J. Marshall Kitta’s double-locked problem. (English) Zbl 1291.51019 Forum Geom. 14, 43-50 (2014). Reviewer: Antonio M. Oller (Zaragoza) MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Koshy, Thomas Pell and Pell-Lucas numbers with applications. (English) Zbl 1330.11002 New York, NY: Springer (ISBN 978-1-4614-8488-2/hbk; 978-1-4614-8489-9/ebook). xxiii, 431 p. (2014). Reviewer: Wolfgang Steiner (Sydney) MSC: 11-01 11B39 11D09 × Cite Format Result Cite Review PDF Full Text: DOI
Öğüt, Ümmügülsüm; Keskin, Refik A note on congruent numbers. (English) Zbl 1357.11037 Int. J. Algebra 7, No. 13-16, 749-753 (2013). MSC: 11D09 11D25 × Cite Format Result Cite Review PDF Full Text: DOI
Malek, Massoud Primitive Pythagorean codes. (English) Zbl 1298.94146 Int. Math. Forum 8, No. 37-40, 1873-1879 (2013). MSC: 94B60 × Cite Format Result Cite Review PDF Full Text: DOI
Katayama, Shin-ichi Modified Farey trees and Pythagorean triples. (English) Zbl 1333.11032 J. Math., Univ. Tokushima 47, 1-13 (2013). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 11D09 11B57 × Cite Format Result Cite Review PDF
Srinivasan, V. K. A geometrical application of number theory. (English) Zbl 1290.97003 Int. J. Math. Educ. Sci. Technol. 44, No. 2, 272-276 (2013). MSC: 97F60 97G40 11N25 51N20 51N25 × Cite Format Result Cite Review PDF Full Text: DOI
Lanta, John; Nwabueze, Kenneth K. Some quaternion geometric intuition. (English) Zbl 1335.11020 Int. J. Pure Appl. Math. 82, No. 1, 33-40 (2013). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 11D09 30G35 × Cite Format Result Cite Review PDF Full Text: Link
Somboonkulavudi, Cheranoot; Harnchoowong, Ajchara A ring of Pythagorean triples over Gaussian integers. (English) Zbl 1414.11044 Proceedings of the annual international conference on computational mathematics, computational geometry and statistics (CMCGS 2012), Singapore, January 30–31, 2012. Singapore: Global Science and Technology Forum (GSTF). 17-19 (2012). MSC: 11D09 × Cite Format Result Cite Review PDF
Emel’yanov, P. G. Path reconstruction in Barning-Hall tree. (Russian, English) Zbl 1289.11030 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 12, No. 3, 95-102 (2012); translation in J. Math. Sci., New York 202, No. 1, 72-79 (2014). MSC: 11D09 × Cite Format Result Cite Review PDF
Du, Xinhua; Deng, Lihong Steinhaus’ problem and its proof. (Chinese. English summary) Zbl 1274.11107 Adv. Math., Beijing 41, No. 1, 81-90 (2012). MSC: 11G05 11A07 11D09 × Cite Format Result Cite Review PDF
Yang, Zhijuan; Tang, Min On the Diophantine equation \((8n)^x+(15n)^y=(17n)^z\). (English) Zbl 1272.11048 Bull. Aust. Math. Soc. 86, No. 2, 348-352 (2012). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Janzing, Dominik; Mooij, Joris; Zhang, Kun; Lemeire, Jan; Zscheischler, Jakob; Daniušis, Povilas; Steudel, Bastian; Schölkopf, Bernhard Information-geometric approach to inferring causal directions. (English) Zbl 1248.68490 Artif. Intell. 182-183, 1-31 (2012). MSC: 68T37 68Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Somboonkulavudi, Cheranoot; Harnchoowong, Ajchara Pythagorean triples over Gaussian integers. (English) Zbl 1267.11111 Int. J. Algebra 6, No. 1-4, 55-64 (2012). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R27 11D09 × Cite Format Result Cite Review PDF Full Text: Link
Leyendekkers, J. V.; Shannon, A. G. Why 3 and 5 are always factors of primitive Pythagorean triples. (English) Zbl 1273.97016 Int. J. Math. Educ. Sci. Technol. 42, No. 1, 102-105 (2011). MSC: 97F60 11D09 × Cite Format Result Cite Review PDF Full Text: DOI
Mohapatra, A. K.; Prakash, N. Wired equivalent privacy reinvestigated. (English) Zbl 1215.94004 J. Discrete Math. Sci. Cryptography 13, No. 2, 141-151 (2010). MSC: 94-04 68P25 94A60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Çenberci, Selin; Senay, Hasan The Diophantine equation \(x^2 + B^m = y^n\). (English) Zbl 1205.11042 Int. J. Algebra 3, No. 13-16, 657-662 (2009). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Çenberci, Selin; Senay, Hasan The Diophantine equation \(x^2 + q^m = p^n\). (English) Zbl 1205.11041 Int. J. Contemp. Math. Sci. 4, No. 21-24, 1181-1191 (2009). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: Link
Iseki, Kiyoshi A simple number theoretic problem. III. (English) Zbl 1196.11051 Sci. Math. Jpn. 70, No. 2, 265-266 (2009). MSC: 11D09 × Cite Format Result Cite Review PDF Full Text: Link
Cai, Lixiang On an equation of the Smarandache function. (English) Zbl 1199.11005 Sci. Magna 4, No. 3, 71-73 (2008). MSC: 11A25 × Cite Format Result Cite Review PDF
Spezeski, William J. Rethinking Pythagorean triples. (English) Zbl 1186.11012 Appl. Appl. Math. 3, No. 1, 100-112 (2008). MSC: 11D09 × Cite Format Result Cite Review PDF Full Text: Link
Romik, Dan The dynamics of Pythagorean triples. (English) Zbl 1161.37012 Trans. Am. Math. Soc. 360, No. 11, 6045-6064 (2008). Reviewer: Gabriel Soler López (Cartagena) MSC: 37A45 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Maohua The Pythagorean triples with continued terminates. (Chinese. English summary) Zbl 1174.11300 J. Hunan Univ. Arts Sci., Nat. Sci. 19, No. 2, 1 (2007). MSC: 11A07 11D09 × Cite Format Result Cite Review PDF
Chen, Yonggao; Guo, Shuguang On the rational cuboids with a given face. (English) Zbl 1083.11023 J. Number Theory 112, No. 2, 205-215 (2005). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D09 × Cite Format Result Cite Review PDF Full Text: DOI
Choudhry, Ajai; Nwabueze, Kenneth K. An example of a group. (English) Zbl 1107.11020 Int. J. Pure Appl. Math. 15, No. 3, 397-400 (2004). Reviewer: Ming Luo (Chongqing) MSC: 11D09 20D15 × Cite Format Result Cite Review PDF
Cihangir, Ahmet; Şenay, Hasan On the integer solutions of the Diophantine equations \(x^2+ y^2= z^n\) and \(x^n+ y^2= z^2\). (English) Zbl 1062.11017 J. Inst. Math. Comput. Sci., Math. Ser. 15, No. 2, 79-84 (2002). Reviewer: Le Maohua (Zhanjiang) MSC: 11D41 × Cite Format Result Cite Review PDF
Crâşmăreanu, Mircea A new method to obtain Pythagorean triple preserving matrices. (English) Zbl 1032.15007 Missouri J. Math. Sci. 14, No. 3, 10 p. (2002). Reviewer: Vladimir P. Kostov (Nice) MSC: 15B36 11C20 11D09 × Cite Format Result Cite Review PDF
Dieterich, Ernst; Öhman, Johan On the classification of \(4\)-dimensional quadratic division algebras over square-ordered fields. (English) Zbl 1017.17004 J. Lond. Math. Soc., II. Ser. 65, No. 2, 285-302 (2002). Reviewer: Ernst Dieterich (Uppsala) MSC: 17A35 17A45 12D15 16K20 15A21 15A22 × Cite Format Result Cite Review PDF Full Text: DOI
Bruening, James T.; Lohmeier, Tracy R.; Sebaugh, Cheryl L. Symmetric Pythagorean triple preserving matrices. (English) Zbl 1031.11013 Missouri J. Math. Sci. 13, No. 1, 13 p. (2001). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11D09 × Cite Format Result Cite Review PDF
Scheffold, Egon Pythagorean triples of polygonal numbers. (English) Zbl 0989.11015 Am. Math. Mon. 108, No. 3, 257-258 (2001). Reviewer: J.Piehler (Merseburg) MSC: 11D09 11A99 × Cite Format Result Cite Review PDF Full Text: DOI
Hlawka, Edmund Pythagorean triples. (English) Zbl 0971.11014 Bambah, R. P. (ed.) et al., Number theory. Basel: Birkhäuser. Trends in Mathematics. 141-155 (2000). Reviewer: Edward L.Cohen (Ottawa) MSC: 11D09 11J71 11B39 × Cite Format Result Cite Review PDF
Hitotumatu, Sin Pythagorean pseudocircle. (English) Zbl 0973.11035 Math. Jap. 51, No. 3, 387-393 (2000). Reviewer: Christian Elsholtz (Clausthal-Zellerfeld) MSC: 11D09 × Cite Format Result Cite Review PDF
Le, Maohua A note on Jeśmanowicz’ conjecture concerning Pythagorean triples. (English) Zbl 0940.11021 Bull. Aust. Math. Soc. 59, No. 3, 477-480 (1999). Reviewer: E.L.Cohen (Ottawa) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Nyblom, M. A. A note on the set of almost-isosceles right-angled triangles. (English) Zbl 0931.11008 Fibonacci Q. 36, No. 4, 319-322 (1998). Reviewer: J.Piehler (Merseburg) MSC: 11D09 × Cite Format Result Cite Review PDF
Schinzel, Andrzej On Pythagorean triangles. (English) Zbl 0923.11045 Pr. Nauk. Uniw. Śląsk. Katowicach 1751, Ann. Math. Silesianae 12, 31-33 (1998). Reviewer: Edward J.Barbeau (Toronto) MSC: 11D09 × Cite Format Result Cite Review PDF
Chen, Xigeng; Le, Maohua A note on Terai’s conjecture concerning Pythagorean numbers. (English) Zbl 0919.11026 Proc. Japan Acad., Ser. A 74, No. 5, 80-81 (1998). Reviewer: Ke Zhao (Chengdu) MSC: 11D61 11D09 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Moujie; Cohen, G. L. On the conjecture of Jésmanowicz concerning Pythagorean triples. (English) Zbl 0916.11020 Bull. Aust. Math. Soc. 57, No. 3, 515-524 (1998). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Pingzhi On the diophantine equation \(x^2+b^y=c^z\). (Chinese. English summary) Zbl 0908.11019 J. Sichuan Univ., Nat. Sci. Ed. 35, No. 1, 5-7 (1998). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 × Cite Format Result Cite Review PDF
Haggard, Paul W. Pythagorean triples and sums of triangular numbers. (English) Zbl 0966.11015 Int. J. Math. Educ. Sci. Technol. 28, No. 1, 109-116 (1997). MSC: 11D09 11A99 × Cite Format Result Cite Review PDF Full Text: DOI
Takakuwa, Kei A remark on Jeśmanowicz’ conjecture. (English) Zbl 0863.11025 Proc. Japan Acad., Ser. A 72, No. 6, 109-110 (1996). Reviewer: Le Maohua (Zhanjiang) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Leyendekkers, J. V.; Rybak, J. M.; Shannon, A. G. Integer class properties associated with an integer matrix. (English) Zbl 0833.11009 Notes Number Theory Discrete Math. 1, No. 2, 53-59 (1995). MSC: 11D09 11C20 × Cite Format Result Cite Review PDF
Le, Maohua A note on the diophantine equation \(x^ 2 + b^ y = c^ z\). (English) Zbl 0820.11023 Acta Arith. 71, No. 3, 253-257 (1995). Reviewer: M.Le (Zhanjiang) MSC: 11D61 11J86 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Adachi, Norio On Pythagorean elliptic curves. (English) Zbl 0817.11030 Proc. Japan Acad., Ser. A 70, No. 7, 226-229 (1994). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G05 11D25 × Cite Format Result Cite Review PDF Full Text: DOI
Frejman, D.; Grytczuk, A. On a problem of W. Sierpinski. (English) Zbl 0880.11027 Acta Acad. Paedagog. Agriensis, Sect. Mat. (N.S.) 22, 97-99 (1994). MSC: 11D25 × Cite Format Result Cite Review PDF
Zelator, Konstantine On independent Pythagorean numbers. (English) Zbl 0789.11004 Fibonacci Q. 31, No. 4, 299-301 (1993). Reviewer: A.Bege (Cluj-Napoca) MSC: 11A99 11D09 × Cite Format Result Cite Review PDF
Hinson, Edward K. On the distribution of Pythagorean triples. (English) Zbl 0764.11013 Fibonacci Q. 30, No. 4, 335-338 (1992). Reviewer: R.P.Burn (Exeter) MSC: 11A99 11D09 × Cite Format Result Cite Review PDF
Waterhouse, William C. Continued fractions and Pythagorean triples. (English) Zbl 0749.11023 Fibonacci Q. 30, No. 2, 144-147 (1992). MSC: 11D09 11A55 × Cite Format Result Cite Review PDF
Paramhans, S. A.; Prasad, S. Recurrence formulae for the identities generating Pythagorean triples. (English) Zbl 0882.11017 Bull. Number Theory Relat. Top. 16, 113-116 (1992). Reviewer: J.Piehler (Merseburg) MSC: 11D09 × Cite Format Result Cite Review PDF
Fässler, Albert A computer approach to number theory. (English) Zbl 0743.11001 Int. J. Math. Educ. Sci. Technol. 22, No. 3, 419-424 (1991). Reviewer: R.P.Burn (Exeter) MSC: 11-01 11D09 11N05 × Cite Format Result Cite Review PDF Full Text: DOI
Fässler, Albert Multiple Pythagorean number triples. (English) Zbl 0743.11014 Am. Math. Mon. 98, No. 6, 505-517 (1991). Reviewer: J.Piehler (Merseburg) MSC: 11D09 × Cite Format Result Cite Review PDF Full Text: DOI Link
Freitag, Herta T. A note on ramifications concerning the construction of Pythagorean triples from recursive sequences. (English) Zbl 0715.11009 Applications of Fibonacci numbers. Vol. 3, Proc. 3rd Int. Conf., Pisa/Italy 1988, 101-106 (1990). Reviewer: J.Piehler MSC: 11B39 11D09 × Cite Format Result Cite Review PDF
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Frink, Orrin Almost Pythagorean triples. (English) Zbl 0626.10014 Math. Mag. 60, 234-236 (1987). Reviewer: E.L.Cohen MSC: 11D04 × Cite Format Result Cite Review PDF Full Text: DOI