Hambleton, Samuel A. A cubic generalization of Brahmagupta’s identity. (English) Zbl 1425.11172 J. Ramanujan Math. Soc. 32, No. 4, 327-337 (2017). MSC: 11R16 11D57 11D25 11G05 PDFBibTeX XMLCite \textit{S. A. Hambleton}, J. Ramanujan Math. Soc. 32, No. 4, 327--337 (2017; Zbl 1425.11172) Full Text: arXiv Link
Anghel, Nicolae Square roots of real \(3 \times 3\) matrices vs. quartic polynomials with real zeros. (English) Zbl 1424.15013 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 25, No. 3, 45-58 (2017). MSC: 15A16 12D10 26C10 30C15 PDFBibTeX XMLCite \textit{N. Anghel}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 25, No. 3, 45--58 (2017; Zbl 1424.15013) Full Text: DOI
Wu, Yusen; Liu, Yirong Four finite isochronous centers in a quartic \(Z_3\)-equivariant vector field. (Chinese. English summary) Zbl 1399.34095 Acta Math. Appl. Sin. 40, No. 2, 218-228 (2017). MSC: 34C05 34C07 34C14 34C25 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{Y. Liu}, Acta Math. Appl. Sin. 40, No. 2, 218--228 (2017; Zbl 1399.34095)
Zhang, Yong; Shen, Zhongyan On the Diophantine system \(f(z)= f(x) f(y)= f(u) f(v)\). (English) Zbl 1387.11024 Period. Math. Hung. 75, No. 2, 295-301 (2017). Reviewer: Thomas Schmidt (Corvallis) MSC: 11D25 11D72 11G05 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Z. Shen}, Period. Math. Hung. 75, No. 2, 295--301 (2017; Zbl 1387.11024) Full Text: DOI
Bennett, Michael A.; Rechnitzer, Andrew Computing elliptic curves over \(\mathbb{Q}\): bad reduction at one prime. (English) Zbl 1410.11045 Melnik, Roderick (ed.) et al., Recent progress and modern challenges in applied mathematics, modeling and computational science. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer. Fields Inst. Commun. 79, 387-415 (2017). MSC: 11G05 11D25 11D59 11E76 11Y50 11Y65 14H52 PDFBibTeX XMLCite \textit{M. A. Bennett} and \textit{A. Rechnitzer}, Fields Inst. Commun. 79, 387--415 (2017; Zbl 1410.11045) Full Text: DOI
Browning, T. D. Many cubic surfaces contain rational points. (English) Zbl 1388.14069 Mathematika 63, No. 3, 818-839 (2017). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 14G25 11D25 11G05 11G35 PDFBibTeX XMLCite \textit{T. D. Browning}, Mathematika 63, No. 3, 818--839 (2017; Zbl 1388.14069) Full Text: DOI arXiv
Kulkarni, Raghavendra G. Intersect a quartic to extract its roots. (English) Zbl 1414.12003 Ann. Univ. Paedagog. Crac., Stud. Math. 206(16), 73-76 (2017). MSC: 12D10 PDFBibTeX XMLCite \textit{R. G. Kulkarni}, Ann. Univ. Paedagog. Crac., Stud. Math. 206(16), 73--76 (2017; Zbl 1414.12003) Full Text: DOI
Louboutin, Stéphane R. Non-{G}alois cubic number fields with exceptional units. (English) Zbl 1399.11172 Publ. Math. Debr. 91, No. 1-2, 153-170 (2017). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Publ. Math. Debr. 91, No. 1--2, 153--170 (2017; Zbl 1399.11172) Full Text: DOI
Guan, Xungui On the Diophantine equation \({X^2}- \left({{a^2} + 1} \right){Y^4} = 8 - 6a\). (Chinese. English summary) Zbl 1389.11079 Adv. Math., Beijing 46, No. 3, 355-372 (2017). MSC: 11D25 PDFBibTeX XMLCite \textit{X. Guan}, Adv. Math., Beijing 46, No. 3, 355--372 (2017; Zbl 1389.11079) Full Text: DOI
Chahal, Jasbir S.; Top, Jaap Albime triangles over quadratic fields. (English) Zbl 1433.11029 Rocky Mt. J. Math. 47, No. 7, 2095-2106 (2017). MSC: 11D25 11G05 14G05 97G40 PDFBibTeX XMLCite \textit{J. S. Chahal} and \textit{J. Top}, Rocky Mt. J. Math. 47, No. 7, 2095--2106 (2017; Zbl 1433.11029) Full Text: DOI Euclid
Coates, John The oldest problem. (English) Zbl 1402.11001 ICCM Not. 5, No. 2, 8-13 (2017). MSC: 11-02 11-03 11D25 11G05 11G40 11R23 PDFBibTeX XMLCite \textit{J. Coates}, ICCM Not. 5, No. 2, 8--13 (2017; Zbl 1402.11001) Full Text: DOI
Tian, Ye; Yuan, Xinyi; Zhang, Shou-Wu Genus periods, genus points and congruent number problem. (English) Zbl 1441.11172 Asian J. Math. 21, No. 4, 721-774 (2017). MSC: 11G40 11G05 11D25 PDFBibTeX XMLCite \textit{Y. Tian} et al., Asian J. Math. 21, No. 4, 721--774 (2017; Zbl 1441.11172) Full Text: DOI arXiv
Poulakis, Dimitrios A note on Schmidt’s conjecture. (English) Zbl 1380.11081 Bull. Aust. Math. Soc. 96, No. 2, 191-195 (2017). Reviewer: Le Maohua (Zhanjiang) MSC: 11G05 11D25 11D45 PDFBibTeX XMLCite \textit{D. Poulakis}, Bull. Aust. Math. Soc. 96, No. 2, 191--195 (2017; Zbl 1380.11081) Full Text: DOI
Zhang, Zhe; Yue, Qin Hilbert genus fields of imaginary biquadratic fields. (English) Zbl 1400.11147 Commun. Math. Stat. 5, No. 2, 175-197 (2017). MSC: 11R37 11R16 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Q. Yue}, Commun. Math. Stat. 5, No. 2, 175--197 (2017; Zbl 1400.11147) Full Text: DOI
Tanoé, François E. Chatelain’s integer bases for biquadratic fields. (English) Zbl 1432.11155 Afr. Mat. 28, No. 5-6, 727-744 (2017). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 PDFBibTeX XMLCite \textit{F. E. Tanoé}, Afr. Mat. 28, No. 5--6, 727--744 (2017; Zbl 1432.11155) Full Text: DOI
Valentini, Robert C. Quartic polynomials having Galois closure of genus zero and their value sets. (English) Zbl 1409.11098 Finite Fields Appl. 47, 269-275 (2017). MSC: 11R58 11T55 PDFBibTeX XMLCite \textit{R. C. Valentini}, Finite Fields Appl. 47, 269--275 (2017; Zbl 1409.11098) Full Text: DOI
Klaška, Jiří; Skula, Ladislav Law of inertia for the factorization of cubic polynomials – the imaginary case. (English) Zbl 1404.11136 Util. Math. 103, 99-109 (2017). MSC: 11T06 11D25 12E05 PDFBibTeX XMLCite \textit{J. Klaška} and \textit{L. Skula}, Util. Math. 103, 99--109 (2017; Zbl 1404.11136)
Das, Pradeep; Juyal, Abhishek; Moody, Dustin Integral isosceles triangle-parallelogram and Heron triangle-rhombus pairs with a common area and common perimeter. (English) Zbl 1421.11025 J. Number Theory 180, 208-218 (2017). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{P. Das} et al., J. Number Theory 180, 208--218 (2017; Zbl 1421.11025) Full Text: DOI
Cullinan, John Real preimages of duplication on elliptic curves. (English) Zbl 1411.11046 Missouri J. Math. Sci. 29, No. 1, 19-26 (2017). MSC: 11G05 PDFBibTeX XMLCite \textit{J. Cullinan}, Missouri J. Math. Sci. 29, No. 1, 19--26 (2017; Zbl 1411.11046) Full Text: Euclid
Gaál, István; Remete, László Non-monogenity in a family of octic fields. (English) Zbl 1381.11102 Rocky Mt. J. Math. 47, No. 3, 817-824 (2017). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Rocky Mt. J. Math. 47, No. 3, 817--824 (2017; Zbl 1381.11102) Full Text: DOI arXiv Euclid
Byeon, Dongho; Jeong, Keunyoung Sums of two rational cubes with many prime factors. (English) Zbl 1405.11132 J. Number Theory 179, 240-255 (2017). MSC: 11P55 11D25 11G40 PDFBibTeX XMLCite \textit{D. Byeon} and \textit{K. Jeong}, J. Number Theory 179, 240--255 (2017; Zbl 1405.11132) Full Text: DOI
Kouakou, Kouassi Vincent; Tanoé, François E. Chatelain’s integral bases for triquadratic number fields. (English) Zbl 1414.11125 Afr. Mat. 28, No. 1-2, 119-149 (2017). MSC: 11R04 11R09 11D57 11D72 11D79 PDFBibTeX XMLCite \textit{K. V. Kouakou} and \textit{F. E. Tanoé}, Afr. Mat. 28, No. 1--2, 119--149 (2017; Zbl 1414.11125) Full Text: DOI
Lee, Jungyun; Lee, Yoonjin Regulators of an infinite family of the simplest quartic function fields. (English) Zbl 1392.11084 Can. J. Math. 69, No. 3, 579-594 (2017). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R16 11R29 11R58 11R60 PDFBibTeX XMLCite \textit{J. Lee} and \textit{Y. Lee}, Can. J. Math. 69, No. 3, 579--594 (2017; Zbl 1392.11084) Full Text: DOI
Bremner, Andrew; Ulas, Maciej On representing coordinates of points on elliptic curves by quadratic forms. (English) Zbl 1435.11064 Acta Arith. 179, No. 1, 55-78 (2017). Reviewer: Bartosz Naskrecki (Poznań) MSC: 11D25 11D41 11E16 11G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{M. Ulas}, Acta Arith. 179, No. 1, 55--78 (2017; Zbl 1435.11064) Full Text: DOI arXiv
Anil Kumar, C. P. Approximation of quadrilaterals by rational quadrilaterals in the plane. (English) Zbl 1371.11078 Proc. Indian Acad. Sci., Math. Sci. 127, No. 1, 69-90 (2017). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D25 11G05 11J17 PDFBibTeX XMLCite \textit{C. P. Anil Kumar}, Proc. Indian Acad. Sci., Math. Sci. 127, No. 1, 69--90 (2017; Zbl 1371.11078) Full Text: DOI arXiv
Klys, Jack Reflection principles for class groups. (English) Zbl 1428.11194 J. Number Theory 177, 328-352 (2017). MSC: 11R29 11R33 11R16 PDFBibTeX XMLCite \textit{J. Klys}, J. Number Theory 177, 328--352 (2017; Zbl 1428.11194) Full Text: DOI arXiv
Taous, Mohammed; Zekhnini, Abdelkader Pólya groups of the imaginary bicyclic biquadratic number fields. (English) Zbl 1428.11185 J. Number Theory 177, 307-327 (2017). MSC: 11R04 11R16 11R27 13F20 PDFBibTeX XMLCite \textit{M. Taous} and \textit{A. Zekhnini}, J. Number Theory 177, 307--327 (2017; Zbl 1428.11185) Full Text: DOI
Klaška, Jiří; Skula, Ladislav Law of inertia for the factorization of cubic polynomials – the case of primes 2 and 3. (English) Zbl 1399.11179 Math. Slovaca 67, No. 1, 71-82 (2017). Reviewer: Juraj Činčura (Bratislava) MSC: 11T06 11D25 PDFBibTeX XMLCite \textit{J. Klaška} and \textit{L. Skula}, Math. Slovaca 67, No. 1, 71--82 (2017; Zbl 1399.11179) Full Text: DOI
Lezowski, Pierre; McGown, Kevin J. The Euclidean algorithm in quintic and septic cyclic fields. (English) Zbl 1428.11005 Math. Comput. 86, No. 307, 2535-2549 (2017). MSC: 11A05 11R04 11Y40 11R16 11R80 11L40 11R32 PDFBibTeX XMLCite \textit{P. Lezowski} and \textit{K. J. McGown}, Math. Comput. 86, No. 307, 2535--2549 (2017; Zbl 1428.11005) Full Text: DOI arXiv
Xu, Xiu; Yu, Wei; Wang, Kunpeng; He, Xiaoyang Constructing isogenies on extended Jacobi quartic curves. (English) Zbl 1404.14053 Chen, Kefei (ed.) et al., Information security and cryptology. 12th international conference, Inscrypt 2016, Beijing, China, November 4–6, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-54704-6/pbk; 978-3-319-54705-3/ebook). Lecture Notes in Computer Science 10143, 416-427 (2017). MSC: 14K02 14H52 11G05 PDFBibTeX XMLCite \textit{X. Xu} et al., Lect. Notes Comput. Sci. 10143, 416--427 (2017; Zbl 1404.14053) Full Text: DOI
Nguyen Ngoc Dong Quan The Brauer-Manin obstruction for certain quartic curves with negative discriminant. (English) Zbl 1390.14066 Commun. Algebra 45, No. 2, 455-468 (2017). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 14G05 11G35 11G30 PDFBibTeX XMLCite \textit{Nguyen Ngoc Dong Quan}, Commun. Algebra 45, No. 2, 455--468 (2017; Zbl 1390.14066) Full Text: DOI
Aoki, Miho; Kishi, Yasuhiro An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five. (English) Zbl 1422.11221 J. Number Theory 176, 333-343 (2017). MSC: 11R11 11R16 11R29 PDFBibTeX XMLCite \textit{M. Aoki} and \textit{Y. Kishi}, J. Number Theory 176, 333--343 (2017; Zbl 1422.11221) Full Text: DOI
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed Capitulation in the absolutely abelian extensions of some number fields. II. (English) Zbl 1422.11228 Acta Math. Vietnam. 42, No. 1, 81-97 (2017). MSC: 11R37 11R11 11R16 11R20 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Acta Math. Vietnam. 42, No. 1, 81--97 (2017; Zbl 1422.11228) Full Text: DOI arXiv
Heath-Brown, D. R. Rational points on the intersection of three quadrics. (English) Zbl 1373.14023 Int. J. Number Theory 13, No. 2, 273-289 (2017). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G05 11D25 14G20 14J20 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Int. J. Number Theory 13, No. 2, 273--289 (2017; Zbl 1373.14023) Full Text: DOI arXiv
Khudaverdian, H. M.; Mkrtchyan, R. L. Diophantine equations, platonic solids, McKay correspondence, equivelar maps and Vogel’s universality. (English) Zbl 1380.11023 J. Geom. Phys. 114, 85-90 (2017). MSC: 11D25 11G30 14E16 17B20 52B10 PDFBibTeX XMLCite \textit{H. M. Khudaverdian} and \textit{R. L. Mkrtchyan}, J. Geom. Phys. 114, 85--90 (2017; Zbl 1380.11023) Full Text: DOI arXiv
Ieronymou, Evis; Skorobogatov, Alexei N. Corrigendum to: “Odd order Brauer-Manin obstruction on diagonal quartic surfaces”. (English) Zbl 1388.14072 Adv. Math. 307, 1372-1377 (2017). MSC: 14G05 14F22 11D25 14G25 PDFBibTeX XMLCite \textit{E. Ieronymou} and \textit{A. N. Skorobogatov}, Adv. Math. 307, 1372--1377 (2017; Zbl 1388.14072) Full Text: DOI
Ouyang, Yi; Zhang, Shenxing Birch’s lemma over global function fields. (English) Zbl 1369.11042 Proc. Am. Math. Soc. 145, No. 2, 577-584 (2017). Reviewer: Chao Li (New York) MSC: 11G05 11D25 11G40 PDFBibTeX XMLCite \textit{Y. Ouyang} and \textit{S. Zhang}, Proc. Am. Math. Soc. 145, No. 2, 577--584 (2017; Zbl 1369.11042) Full Text: DOI
Harron, Robert The shapes of pure cubic fields. (English) Zbl 1415.11151 Proc. Am. Math. Soc. 145, No. 2, 509-524 (2017). MSC: 11R16 11R45 11E12 PDFBibTeX XMLCite \textit{R. Harron}, Proc. Am. Math. Soc. 145, No. 2, 509--524 (2017; Zbl 1415.11151) Full Text: DOI arXiv