Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed On the capitulation of the 2-ideal classes of the field \(\mathbb{Q}(\sqrt{p_1p_2q},i)\) of type \((2,2,2)\). (English) Zbl 1431.11118 Bol. Soc. Parana. Mat. (3) 38, No. 4, 127-135 (2020). MSC: 11R11 11R16 11R20 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Bol. Soc. Parana. Mat. (3) 38, No. 4, 127--135 (2020; Zbl 1431.11118) Full Text: Link
Hough, Robert D. The local zeta function in enumerating quartic fields. (English) Zbl 1454.11175 J. Number Theory 210, 1-131 (2020). MSC: 11N45 11R16 11S90 11T23 PDFBibTeX XMLCite \textit{R. D. Hough}, J. Number Theory 210, 1--131 (2020; Zbl 1454.11175) Full Text: DOI arXiv
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen Reconstructing plane quartics from their invariants. (English) Zbl 1439.13020 Discrete Comput. Geom. 63, No. 1, 73-113 (2020). Reviewer: Peter Schenzel (Halle) MSC: 13A50 14L24 14H10 14H25 PDFBibTeX XMLCite \textit{R. Lercier} et al., Discrete Comput. Geom. 63, No. 1, 73--113 (2020; Zbl 1439.13020) Full Text: DOI arXiv
da Cruz, Leonardo P. C.; Romanovski, Valery G.; Torregrosa, J. The center and cyclicity problems for quartic linear-like reversible systems. (English) Zbl 1446.34046 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111593, 19 p. (2020). Reviewer: Alexander Rudenok (Minsk) MSC: 34C05 34C07 34C23 34C25 34C14 PDFBibTeX XMLCite \textit{L. P. C. da Cruz} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111593, 19 p. (2020; Zbl 1446.34046) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{H. R. Gallegos-Ruiz} et al., J. Number Theory 208, 418--440 (2020; Zbl 1451.11020) Full Text: DOI arXiv
Louboutin, Stéphane R. Non-Galois cubic number fields with exceptional units. II. (English) Zbl 1453.11137 J. Number Theory 206, 62-80 (2020). MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{S. R. Louboutin}, J. Number Theory 206, 62--80 (2020; Zbl 1453.11137) Full Text: DOI
Alpöge, Levent; Bhargava, Manjul; Shnidman, Ari A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so. arXiv:2011.01186 Preprint, arXiv:2011.01186 [math.NT] (2020). MSC: 11R16 11R45 11G05 BibTeX Cite \textit{L. Alpöge} et al., ``A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so'', Preprint, arXiv:2011.01186 [math.NT] (2020) Full Text: arXiv OA License
Doležálek, Matěj Quaternions and universal quadratic forms over number fields. arXiv:2012.07097 Preprint, arXiv:2012.07097 [math.NT] (2020). MSC: 11E12 11H06 11R52 11R80 11R16 BibTeX Cite \textit{M. Doležálek}, ``Quaternions and universal quadratic forms over number fields'', Preprint, arXiv:2012.07097 [math.NT] (2020) Full Text: arXiv OA License
Sutherland, Andrew V. A database of nonhyperelliptic genus-3 curves over \(\mathbb{Q}\). (English) Zbl 1516.14058 Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 443-459 (2019). MSC: 14H25 PDFBibTeX XMLCite \textit{A. V. Sutherland}, Open Book Ser. 2, 443--459 (2019; Zbl 1516.14058) Full Text: DOI arXiv
Biasse, Jean-François; Van Vredendaal, Christine Fast multiquadratic S-unit computation and application to the calculation of class groups. (English) Zbl 1517.11134 Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 103-118 (2019). MSC: 11R04 11R29 11R65 11R11 11R16 11S20 11Y50 PDFBibTeX XMLCite \textit{J.-F. Biasse} and \textit{C. Van Vredendaal}, Open Book Ser. 2, 103--118 (2019; Zbl 1517.11134) Full Text: DOI
Andrica, Dorin; Ţurcaş, George C. An elliptic Diophantine equation from the study of partitions. (English) Zbl 1513.11097 Stud. Univ. Babeș-Bolyai, Math. 64, No. 3, 349-356 (2019). MSC: 11D25 11G05 11P81 11Y50 14H52 PDFBibTeX XMLCite \textit{D. Andrica} and \textit{G. C. Ţurcaş}, Stud. Univ. Babeș-Bolyai, Math. 64, No. 3, 349--356 (2019; Zbl 1513.11097) Full Text: DOI
Tian, Ye Congruent number problem and elliptic curves. (Chinese. English summary) Zbl 1499.11217 Sci. Sin., Math. 49, No. 10, 1313-1336 (2019). MSC: 11G05 11G40 11D25 PDFBibTeX XMLCite \textit{Y. Tian}, Sci. Sin., Math. 49, No. 10, 1313--1336 (2019; Zbl 1499.11217) Full Text: DOI
Bayad, Abdelmejid; Seddik, Mohammed On cubic Thue equations and the indices of algebraic integers in cubic fields. (English) Zbl 1499.11312 Appl. Anal. Discrete Math. 13, No. 3, 774-786 (2019). MSC: 11R04 11R16 11D25 11D59 PDFBibTeX XMLCite \textit{A. Bayad} and \textit{M. Seddik}, Appl. Anal. Discrete Math. 13, No. 3, 774--786 (2019; Zbl 1499.11312) Full Text: DOI
Franušić, Zrinka; Jadrijević, Borka \(D(n)\)-quadruples in the ring of integers of \(\mathbb{Q}(\sqrt {2}, \sqrt {3})\). (English) Zbl 1485.11069 Math. Slovaca 69, No. 6, 1263-1278 (2019). MSC: 11D09 11E25 11R16 PDFBibTeX XMLCite \textit{Z. Franušić} and \textit{B. Jadrijević}, Math. Slovaca 69, No. 6, 1263--1278 (2019; Zbl 1485.11069) Full Text: DOI
Guan, Xungui Integral points on the elliptic curve \(y^2 = x^3 + (m - 4)x - 2m\). (Chinese. English summary) Zbl 1449.11056 Adv. Math., Beijing 48, No. 6, 721-730 (2019). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{X. Guan}, Adv. Math., Beijing 48, No. 6, 721--730 (2019; Zbl 1449.11056)
Fujita, Yasutsugu; Nara, Tadahisa Generators and integral points on certain quartic curves. (English) Zbl 1446.11108 Glas. Mat., III. Ser. 54, No. 2, 321-343 (2019). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11D25 11G50 PDFBibTeX XMLCite \textit{Y. Fujita} and \textit{T. Nara}, Glas. Mat., III. Ser. 54, No. 2, 321--343 (2019; Zbl 1446.11108) Full Text: DOI Link
Skalba, Mariusz; Ulas, Maciej Pairs of Pythagorean triangles with given ratios between catheti. (English) Zbl 1471.11123 Rocky Mt. J. Math. 49, No. 8, 2779-2789 (2019). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G05 11Y50 PDFBibTeX XMLCite \textit{M. Skalba} and \textit{M. Ulas}, Rocky Mt. J. Math. 49, No. 8, 2779--2789 (2019; Zbl 1471.11123) Full Text: DOI arXiv Euclid
Gaál, István; Remete, László Power integral bases in cubic and quartic extensions of real quadratic fields. (English) Zbl 1449.11104 Acta Sci. Math. 85, No. 3-4, 413-429 (2019). MSC: 11R04 11D59 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Acta Sci. Math. 85, No. 3--4, 413--429 (2019; Zbl 1449.11104) Full Text: DOI arXiv
Lee, Jun Ho Evaluation of the zeta functions of totally real number fields and its application. (English) Zbl 1439.11282 East Asian Math. J. 35, No. 1, 85-90 (2019). MSC: 11R42 11R16 PDFBibTeX XMLCite \textit{J. H. Lee}, East Asian Math. J. 35, No. 1, 85--90 (2019; Zbl 1439.11282) Full Text: DOI
Kim, Henry H. Monogenic dihedral quartic extensions. (English) Zbl 1462.11104 Ramanujan J. 50, No. 2, 459-464 (2019). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R42 11M41 PDFBibTeX XMLCite \textit{H. H. Kim}, Ramanujan J. 50, No. 2, 459--464 (2019; Zbl 1462.11104) Full Text: DOI
Kientéga, Gérard; Tapsoba, Théodore; Tougma, Charles Wend-Waoga Pólya fields that are splitting fields of \(S_3\)-fields. (English) Zbl 1426.11124 JP J. Algebra Number Theory Appl. 41, No. 2, 219-243 (2019). MSC: 11R16 PDFBibTeX XMLCite \textit{G. Kientéga} et al., JP J. Algebra Number Theory Appl. 41, No. 2, 219--243 (2019; Zbl 1426.11124) Full Text: DOI
Marques, Sophie; Ward, Kenneth An explicit triangular integral basis for any separable cubic extension of a function field. (English) Zbl 1437.11155 Eur. J. Math. 5, No. 4, 1252-1266 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 13P10 11R16 11T55 PDFBibTeX XMLCite \textit{S. Marques} and \textit{K. Ward}, Eur. J. Math. 5, No. 4, 1252--1266 (2019; Zbl 1437.11155) Full Text: DOI arXiv
Elsenhans, Andreas-Stephan; Jahnel, Jörg On plane quartics with a Galois invariant Cayley octad. (English) Zbl 1473.14052 Eur. J. Math. 5, No. 4, 1156-1172 (2019). MSC: 14H25 14J20 14J26 14J45 11G35 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, Eur. J. Math. 5, No. 4, 1156--1172 (2019; Zbl 1473.14052) Full Text: DOI arXiv
Çelik, Gamze Savaş; Sadek, Mohammad; Soydan, Gökhan Rational sequences on different models of elliptic curves. (English) Zbl 1455.11049 Glas. Mat., III. Ser. 54, No. 1, 53-64 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11D25 11G05 14G05 14H52 PDFBibTeX XMLCite \textit{G. S. Çelik} et al., Glas. Mat., III. Ser. 54, No. 1, 53--64 (2019; Zbl 1455.11049) Full Text: DOI arXiv Link
Marques, Sophie; Ward, Jacob A complete study of the ramification for any separable cubic global function field. (English) Zbl 1464.11121 Res. Number Theory 5, No. 4, Paper No. 36, 17 p. (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11R32 11R16 11T06 11T55 PDFBibTeX XMLCite \textit{S. Marques} and \textit{J. Ward}, Res. Number Theory 5, No. 4, Paper No. 36, 17 p. (2019; Zbl 1464.11121) Full Text: DOI Link
Deitmar, Anton; Spilioti, Polyxeni; Gon, Yasuro A prime geodesic theorem for \(\mathrm{SL}_3(\mathbb{Z})\). (English) Zbl 1461.11083 Forum Math. 31, No. 5, 1179-1201 (2019). Reviewer: Laurent Guillopé (Nantes) MSC: 11F72 11R29 11F70 11R16 11R27 11R47 53C35 11R80 22E40 PDFBibTeX XMLCite \textit{A. Deitmar} et al., Forum Math. 31, No. 5, 1179--1201 (2019; Zbl 1461.11083) Full Text: DOI arXiv
Andrica, Dorin; Ţurcaş, George Cătălin The number of integral solutions to an equation involving sums of radicals. (English) Zbl 1438.11005 Acta Univ. Apulensis, Math. Inform. 58, 83-90 (2019). MSC: 11A25 11D25 11G05 PDFBibTeX XMLCite \textit{D. Andrica} and \textit{G. C. Ţurcaş}, Acta Univ. Apulensis, Math. Inform. 58, 83--90 (2019; Zbl 1438.11005) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{A. Shamsi Zargar}, Colloq. Math. 158, No. 1, 119--126 (2019; Zbl 1450.11028) Full Text: DOI
Song, Haifeng; Peng, Linping; Cui, Yong Limit cycles in piecewise smooth perturbations of a quartic isochronous center. (English) Zbl 1423.37052 Electron. J. Differ. Equ. 2019, Paper No. 107, 23 p. (2019). MSC: 37J20 37G15 37D45 34C07 PDFBibTeX XMLCite \textit{H. Song} et al., Electron. J. Differ. Equ. 2019, Paper No. 107, 23 p. (2019; Zbl 1423.37052) Full Text: Link
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 PDFBibTeX XMLCite \textit{A. Choudhry}, Rocky Mt. J. Math. 49, No. 5, 1419--1447 (2019; Zbl 1457.11074) Full Text: DOI arXiv Euclid
Guo, Mengyuan; Gao, Li; Zheng, Lu Integral points on elliptic curve \(y^2 = nx (x^2 + 16)\). (Chinese. English summary) Zbl 1438.11079 J. Yunnan Minzu Univ., Nat. Sci. 28, No. 2, 135-137 (2019). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{M. Guo} et al., J. Yunnan Minzu Univ., Nat. Sci. 28, No. 2, 135--137 (2019; Zbl 1438.11079) Full Text: DOI
Cui, Baojun Points on the elliptic curve \(y^2 = x^3 + 135x - 278\). (Chinese. English summary) Zbl 1438.11078 J. Anhui Univ., Nat. Sci. 43, No. 2, 28-32 (2019). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{B. Cui}, J. Anhui Univ., Nat. Sci. 43, No. 2, 28--32 (2019; Zbl 1438.11078) Full Text: DOI
Sohn, Gyoyong Scalar multiplication on Jacobi curves using the Frobenius map. (English) Zbl 1440.94081 Proc. Jangjeon Math. Soc. 22, No. 1, 7-14 (2019). MSC: 94A60 14G50 11T71 14H25 PDFBibTeX XMLCite \textit{G. Sohn}, Proc. Jangjeon Math. Soc. 22, No. 1, 7--14 (2019; Zbl 1440.94081)
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{A. Shamsi Zargar}, Period. Math. Hung. 79, No. 1, 25--31 (2019; Zbl 1438.11090) Full Text: DOI
Yang, Hai; Fu, Ruiqin Integral points on the elliptic curve \(y^2=x^3-4p^2x\). (English) Zbl 1513.11137 Czech. Math. J. 69, No. 3, 853-862 (2019). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G05 11D25 11Y50 PDFBibTeX XMLCite \textit{H. Yang} and \textit{R. Fu}, Czech. Math. J. 69, No. 3, 853--862 (2019; Zbl 1513.11137) Full Text: DOI
Chattopadhyay, Jaitra; Muthukrishnan, Subramani Biquadratic fields having a non-principal Euclidean ideal class. (English) Zbl 1482.11147 J. Number Theory 204, 99-112 (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R29 11A05 11R16 PDFBibTeX XMLCite \textit{J. Chattopadhyay} and \textit{S. Muthukrishnan}, J. Number Theory 204, 99--112 (2019; Zbl 1482.11147) Full Text: DOI arXiv
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). (English) Zbl 1479.11185 Int. J. Number Theory 15, No. 7, 1437-1447 (2019). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Int. J. Number Theory 15, No. 7, 1437--1447 (2019; Zbl 1479.11185) Full Text: DOI arXiv
Gauthier, Sébastien; Lê, François On the youthful writings of Louis J. Mordell on the Diophantine equation \(y^2-k=x^3\). (English) Zbl 1420.11004 Arch. Hist. Exact Sci. 73, No. 5, 427-468 (2019). MSC: 11-03 01A60 11D25 11G05 PDFBibTeX XMLCite \textit{S. Gauthier} and \textit{F. Lê}, Arch. Hist. Exact Sci. 73, No. 5, 427--468 (2019; Zbl 1420.11004) Full Text: DOI
Rome, Nick A positive proportion of Hasse principle failures in a family of Châtelet surfaces. (English) Zbl 1435.14023 Int. J. Number Theory 15, No. 6, 1237-1249 (2019). MSC: 14G12 14G05 11G35 11D25 PDFBibTeX XMLCite \textit{N. Rome}, Int. J. Number Theory 15, No. 6, 1237--1249 (2019; Zbl 1435.14023) Full Text: DOI arXiv
Marques, Sophie; Ward, Kenneth Cubic fields: a primer. (English) Zbl 1429.11193 Eur. J. Math. 5, No. 2, 551-570 (2019). MSC: 11R16 11R32 11R58 11T22 11T55 PDFBibTeX XMLCite \textit{S. Marques} and \textit{K. Ward}, Eur. J. Math. 5, No. 2, 551--570 (2019; Zbl 1429.11193) Full Text: DOI arXiv
Gaál, István; Remete, László Integral bases and monogenity of composite fields. (English) Zbl 1490.11106 Exp. Math. 28, No. 2, 209-222 (2019). MSC: 11R04 11R16 11R21 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{L. Remete}, Exp. Math. 28, No. 2, 209--222 (2019; Zbl 1490.11106) Full Text: DOI arXiv
Jędrzejak, Tomasz; Wieczorek, Małgorzata Integral points on elliptic curves \(y^2 = x(x-2^m) (x+p)\). (English) Zbl 1444.11118 Bull. Pol. Acad. Sci., Math. 67, No. 1, 53-67 (2019). MSC: 11G05 11D25 11D45 PDFBibTeX XMLCite \textit{T. Jędrzejak} and \textit{M. Wieczorek}, Bull. Pol. Acad. Sci., Math. 67, No. 1, 53--67 (2019; Zbl 1444.11118) Full Text: DOI
Elsenhans, Andreas-Stephan; Jahnel, Jörg Plane quartics with a Galois-invariant Steiner hexad. (English) Zbl 1428.14047 Int. J. Number Theory 15, No. 5, 1075-1109 (2019). Reviewer: David McKinnon (Waterloo) MSC: 14H25 14J20 14J45 11G35 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, Int. J. Number Theory 15, No. 5, 1075--1109 (2019; Zbl 1428.14047) Full Text: DOI arXiv
Lalín, Matilde; Ma, Xinchun \({\theta}\)-triangle and \({\omega}\)-parallelogram pairs with common area and common perimeter. (English) Zbl 1448.11106 J. Number Theory 202, 1-26 (2019). MSC: 11G05 14H52 14J27 11D25 PDFBibTeX XMLCite \textit{M. Lalín} and \textit{X. Ma}, J. Number Theory 202, 1--26 (2019; Zbl 1448.11106) Full Text: DOI
Zhang, Long; Xu, Kejian On the tame kernels of imaginary cyclic quartic fields with class number one. (English) Zbl 1445.11137 J. Number Theory 201, 377-397 (2019). MSC: 11R70 19F27 11R29 19D45 11Y40 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{K. Xu}, J. Number Theory 201, 377--397 (2019; Zbl 1445.11137) Full Text: DOI arXiv
Lozano-Robledo, Álvaro Number theory and geometry. An introduction to arithmetic geometry. (English) Zbl 1432.11002 Pure and Applied Undergraduate Texts 35. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5016-8/hbk; 978-1-4704-5190-5/ebook). xv, 488 p. (2019). Reviewer: Luis Gallardo (Brest) MSC: 11-01 11Axx 11D09 11D25 11G05 97F60 PDFBibTeX XMLCite \textit{Á. Lozano-Robledo}, Number theory and geometry. An introduction to arithmetic geometry. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1432.11002)
Gaál, István; Jadrijević, Borka; Remete, László Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields. (English) Zbl 1479.11054 Int. J. Number Theory 15, No. 1, 11-27 (2019). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11D59 11D57 PDFBibTeX XMLCite \textit{I. Gaál} et al., Int. J. Number Theory 15, No. 1, 11--27 (2019; Zbl 1479.11054) Full Text: DOI arXiv
Balady, Steve; Washington, Lawrence C. A family of cyclic quartic fields with explicit fundamental units. (English) Zbl 1442.11141 Acta Arith. 187, No. 1, 43-57 (2019). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{S. Balady} and \textit{L. C. Washington}, Acta Arith. 187, No. 1, 43--57 (2019; Zbl 1442.11141) Full Text: DOI arXiv
Llibre, Jaume; Martínez, Y. Paulina; Vidal, Claudio Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form \(H = H_1(x)+H_2(y)\). (English) Zbl 1412.37059 Discrete Contin. Dyn. Syst. 39, No. 1, 75-113 (2019). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J25 37C15 37C10 34C07 70K05 PDFBibTeX XMLCite \textit{J. Llibre} et al., Discrete Contin. Dyn. Syst. 39, No. 1, 75--113 (2019; Zbl 1412.37059) Full Text: DOI
Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. A family of monogenic \(S_4\) quartic fields arising from elliptic curves. (English) Zbl 1410.11050 J. Number Theory 197, 361-382 (2019). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R04 11R16 PDFBibTeX XMLCite \textit{T. A. Gassert} et al., J. Number Theory 197, 361--382 (2019; Zbl 1410.11050) Full Text: DOI arXiv
Dummit, David S.; Kisilevsky, Hershy Unit Signatures in Real Biquadratic and Multiquadratic Number Fields. arXiv:1904.04411 Preprint, arXiv:1904.04411 [math.NT] (2019). MSC: 11R27 11R16 11R20 11R80 11R29 BibTeX Cite \textit{D. S. Dummit} and \textit{H. Kisilevsky}, ``Unit Signatures in Real Biquadratic and Multiquadratic Number Fields'', Preprint, arXiv:1904.04411 [math.NT] (2019) Full Text: arXiv OA License
Kagawa, Takaaki The Diophantine equation \(X^3 = 1+9v\) over quadratic fields. (English) Zbl 1497.11074 Mem. Inst. Sci. Eng., Ritsumeikan Univ. 77, 1-4 (2018). MSC: 11D25 PDFBibTeX XMLCite \textit{T. Kagawa}, Mem. Inst. Sci. Eng., Ritsumeikan Univ. 77, 1--4 (2018; Zbl 1497.11074)
Kulkarni, Raghavendra G. A novel Tschirnhaus method to get only the true solutions of quartic equations. (English) Zbl 1485.12004 Lect. Mat. 39, No. 1, 5-9 (2018). MSC: 12E12 PDFBibTeX XMLCite \textit{R. G. Kulkarni}, Lect. Mat. 39, No. 1, 5--9 (2018; Zbl 1485.12004) Full Text: Link
Browning, T. D. How often does the Hasse principle hold? (English) Zbl 1451.14074 de Fernex, Tommaso (ed.) et al., Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 2. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Proc. Symp. Pure Math. 97, 2, 89-102 (2018). MSC: 14G12 14G05 11D25 11G35 14F22 14M22 PDFBibTeX XMLCite \textit{T. D. Browning}, Proc. Symp. Pure Math. 97, 89--102 (2018; Zbl 1451.14074) Full Text: DOI
Zhang, Yong; Peng, Junyao; Wang, Jiamin Integral triangles and trapezoids pairs with a common area and a common perimeter. (English) Zbl 1432.51018 Forum Geom. 18, 371-380 (2018). MSC: 51M04 11G05 11D25 51M25 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Forum Geom. 18, 371--380 (2018; Zbl 1432.51018) Full Text: Link
Halbeisen, Lorenz; Hungerbühler, Norbert A theorem of Fermat on congruent number curves. (English) Zbl 1440.11094 Hardy-Ramanujan J. 41, 15-21 (2018). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{L. Halbeisen} and \textit{N. Hungerbühler}, Hardy-Ramanujan J. 41, 15--21 (2018; Zbl 1440.11094) Full Text: arXiv Link
Rams, Sławomir; Schütt, Matthias At most 64 lines on smooth quartic surfaces (characteristic 2). (English) Zbl 1409.14067 Nagoya Math. J. 232, 76-95 (2018). Reviewer: Noriko Yui (Kingston) MSC: 14J28 14G17 14J27 14J70 14N25 PDFBibTeX XMLCite \textit{S. Rams} and \textit{M. Schütt}, Nagoya Math. J. 232, 76--95 (2018; Zbl 1409.14067) Full Text: DOI arXiv
El Fadil, Lhoussain Prime ideal factorization and \(p\)-integral basis of quintic number fields defined by \(X^5+aX+b\). (English) Zbl 1407.11145 Gulf J. Math. 6, No. 4, 1-13 (2018). MSC: 11Y40 11R16 PDFBibTeX XMLCite \textit{L. El Fadil}, Gulf J. Math. 6, No. 4, 1--13 (2018; Zbl 1407.11145) Full Text: Link
Tran, Manh Hung Uniform bounds for rational points on complete intersections of two quadric surfaces. (English) Zbl 1434.11081 Acta Arith. 186, No. 4, 301-318 (2018). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11D25 11D45 11G05 14G05 PDFBibTeX XMLCite \textit{M. H. Tran}, Acta Arith. 186, No. 4, 301--318 (2018; Zbl 1434.11081) Full Text: DOI arXiv
Smith, Hanson Two families of monogenic \(S_4\) quartic number fields. (English) Zbl 1417.11150 Acta Arith. 186, No. 3, 257-271 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R09 11R16 PDFBibTeX XMLCite \textit{H. Smith}, Acta Arith. 186, No. 3, 257--271 (2018; Zbl 1417.11150) Full Text: DOI arXiv
Li, Xinli Limit cycles in a quartic system with a third-order nilpotent singular point. (English) Zbl 1446.34052 Adv. Difference Equ. 2018, Paper No. 152, 15 p. (2018). MSC: 34C05 34C23 34C07 34C20 34C25 PDFBibTeX XMLCite \textit{X. Li}, Adv. Difference Equ. 2018, Paper No. 152, 15 p. (2018; Zbl 1446.34052) Full Text: DOI
Bruin, Nils; Nasserden, Brett Arithmetic aspects of the Burkhardt quartic threefold. (English) Zbl 1446.11111 J. Lond. Math. Soc., II. Ser. 98, No. 3, 536-556 (2018). MSC: 11G10 11G18 11G30 14G10 14H10 14K10 PDFBibTeX XMLCite \textit{N. Bruin} and \textit{B. Nasserden}, J. Lond. Math. Soc., II. Ser. 98, No. 3, 536--556 (2018; Zbl 1446.11111) Full Text: DOI arXiv Link
Savaş Çelık, Gamze; Soydan, Gökhan Elliptic curves containing sequences of consecutive cubes. (English) Zbl 1405.14081 Rocky Mt. J. Math. 48, No. 7, 2163-2174 (2018). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11B83 11D25 11G05 14G05 PDFBibTeX XMLCite \textit{G. Savaş Çelık} and \textit{G. Soydan}, Rocky Mt. J. Math. 48, No. 7, 2163--2174 (2018; Zbl 1405.14081) Full Text: DOI arXiv Euclid
Hambleton, Samuel A.; Williams, Hugh C. Cubic fields with geometry. (English) Zbl 1451.11001 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. Cham: Springer (ISBN 978-3-030-01402-5/hbk; 978-3-030-01404-9/ebook). xix, 493 p. (2018). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11-02 11D25 11D59 11H50 11Y40 11Y65 14Q10 11R16 PDFBibTeX XMLCite \textit{S. A. Hambleton} and \textit{H. C. Williams}, Cubic fields with geometry. Cham: Springer (2018; Zbl 1451.11001) Full Text: DOI
Guan, Xungui Integral points on the elliptic curve \(y^2 = x(x - p)( x - q)\). I. (Chinese. English summary) Zbl 1424.11075 Math. Pract. Theory 48, No. 4, 272-279 (2018). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{X. Guan}, Math. Pract. Theory 48, No. 4, 272--279 (2018; Zbl 1424.11075)
Guan, Xungui Integral points on the elliptic curve \(y^2 = x(x - p)(x - q)\). II. (Chinese. English summary) Zbl 1424.11074 J. Anhui Univ., Nat. Sci. 42, No. 2, 41-46 (2018). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{X. Guan}, J. Anhui Univ., Nat. Sci. 42, No. 2, 41--46 (2018; Zbl 1424.11074) Full Text: DOI
Kovács, Tünde; Rábai, Zsolt Equal values of pyramidal numbers. (English) Zbl 1446.11051 Indag. Math., New Ser. 29, No. 5, 1157-1166 (2018). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{T. Kovács} and \textit{Z. Rábai}, Indag. Math., New Ser. 29, No. 5, 1157--1166 (2018; Zbl 1446.11051) Full Text: DOI Link
Llibre, Jaume; Martínez, Y. Paulina; Vidal, Claudio Linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the \(\mathrm{y}\)-axis. (English) Zbl 1440.34031 Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 887-912 (2018). MSC: 34C05 37J51 34C25 PDFBibTeX XMLCite \textit{J. Llibre} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 2, 887--912 (2018; Zbl 1440.34031) Full Text: DOI
Zhou, Zhengxin; Romanovski, Valery The center problem and the composition condition for a family of quartic differential systems. (English) Zbl 1413.34135 Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 15, 17 p. (2018). MSC: 34C05 34C07 34C25 37G15 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{V. Romanovski}, Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 15, 17 p. (2018; Zbl 1413.34135) Full Text: DOI
Bremner, Andrew; Nguyen Xuan Tho An interesting quartic surface, everywhere locally solvable, with cubic point but no global point. (English) Zbl 1413.11084 Publ. Math. Debr. 93, No. 1-2, 253-260 (2018). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11G35 11D25 14G05 14G25 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Publ. Math. Debr. 93, No. 1--2, 253--260 (2018; Zbl 1413.11084) Full Text: DOI
Arnóczki, Timea Elements with prime and small indices in bicyclic biquadratic number fields. (English) Zbl 1424.11153 Period. Math. Hung. 77, No. 1, 83-93 (2018). Reviewer: István Gaál (Debrecen) MSC: 11R16 11D57 PDFBibTeX XMLCite \textit{T. Arnóczki}, Period. Math. Hung. 77, No. 1, 83--93 (2018; Zbl 1424.11153) Full Text: DOI
Kim, Dohyeong Descent for the punctured universal elliptic curve, and the average number of integral points on elliptic curves. (English) Zbl 1441.11145 Acta Arith. 183, No. 3, 201-222 (2018). Reviewer: José María Tornero (Sevilla) MSC: 11G05 11D25 11D59 PDFBibTeX XMLCite \textit{D. Kim}, Acta Arith. 183, No. 3, 201--222 (2018; Zbl 1441.11145) Full Text: DOI arXiv
Shabani-Solt, Hassan; Janfada, Ali S. A lower bound for the number of integral solutions of Mordell equation. (English) Zbl 1434.11079 Kodai Math. J. 41, No. 1, 160-166 (2018). MSC: 11D09 11D25 11D45 11G05 PDFBibTeX XMLCite \textit{H. Shabani-Solt} and \textit{A. S. Janfada}, Kodai Math. J. 41, No. 1, 160--166 (2018; Zbl 1434.11079) Full Text: DOI Euclid
Lorenzo García, Elisa Twists of non-hyperelliptic curves of genus \(3\). (English) Zbl 1404.11092 Int. J. Number Theory 14, No. 6, 1785-1812 (2018). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 14H10 14H45 14H50 PDFBibTeX XMLCite \textit{E. Lorenzo García}, Int. J. Number Theory 14, No. 6, 1785--1812 (2018; Zbl 1404.11092) Full Text: DOI arXiv
Dasgupta, Samit; Voight, John Sylvester’s problem and mock Heegner points. (English) Zbl 1431.11043 Proc. Am. Math. Soc. 146, No. 8, 3257-3273 (2018). MSC: 11D25 11G05 11G40 11G15 PDFBibTeX XMLCite \textit{S. Dasgupta} and \textit{J. Voight}, Proc. Am. Math. Soc. 146, No. 8, 3257--3273 (2018; Zbl 1431.11043) Full Text: DOI arXiv
Nagano, Atsuhira Icosahedral invariants and a construction of class fields via periods of \(K3\) surfaces. (English) Zbl 1448.11120 Ramanujan J. 46, No. 1, 201-227 (2018). Reviewer: Mauro Fortuna (Hannover) MSC: 11G45 14J28 14G35 11F46 11G15 11R16 PDFBibTeX XMLCite \textit{A. Nagano}, Ramanujan J. 46, No. 1, 201--227 (2018; Zbl 1448.11120) Full Text: DOI arXiv
Izadi, Farzali; Rasool, Naghdali Forooshani; Amaneh, Amiryousefi Varnousfaderani Fourth power Diophantine equations in Gaussian integers. (English) Zbl 1391.11066 Proc. Indian Acad. Sci., Math. Sci. 128, No. 2, Paper No. 18, 6 p. (2018). MSC: 11D45 11D25 11G05 PDFBibTeX XMLCite \textit{F. Izadi} et al., Proc. Indian Acad. Sci., Math. Sci. 128, No. 2, Paper No. 18, 6 p. (2018; Zbl 1391.11066) Full Text: DOI
Im, Bo-Hae; Kim, Hansol A parametrization of \(\theta\)-congruent numbers with many prime factors and with prescribed prime factors. (English) Zbl 1469.11170 J. Math. Anal. Appl. 462, No. 1, 407-427 (2018). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{B.-H. Im} and \textit{H. Kim}, J. Math. Anal. Appl. 462, No. 1, 407--427 (2018; Zbl 1469.11170) Full Text: DOI
Zhou, Haiyan; Liang, Zhibin Tame kernels of cubic and sextic fields. (English) Zbl 1442.11157 J. Number Theory 190, 277-291 (2018). MSC: 11R70 11R16 11R20 11R29 19F15 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{Z. Liang}, J. Number Theory 190, 277--291 (2018; Zbl 1442.11157) Full Text: DOI
Bremner, Andrew; Nguyen Xuan Tho The equation \((w+x+y+z)(1/w+1/x+1/y+1/z) = n\). (English) Zbl 1428.11057 Int. J. Number Theory 14, No. 5, 1229-1246 (2018). MSC: 11D25 11G05 11D85 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Int. J. Number Theory 14, No. 5, 1229--1246 (2018; Zbl 1428.11057) Full Text: DOI Backlinks: MO
Luca, Florian; Polanco, Geremías; Zudilin, Wadim A variation on the theme of Nicomachus. (English) Zbl 1410.11079 Bull. Aust. Math. Soc. 97, No. 3, 367-373 (2018). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11G20 11D25 11B39 PDFBibTeX XMLCite \textit{F. Luca} et al., Bull. Aust. Math. Soc. 97, No. 3, 367--373 (2018; Zbl 1410.11079) Full Text: DOI arXiv
Bremner, Andrew Corrigenda: Some quartic curves with no points in any cubic field. (English) Zbl 1408.14085 Proc. Lond. Math. Soc. (3) 116, No. 4, 1028 (2018). MSC: 14G05 11D25 14H25 PDFBibTeX XMLCite \textit{A. Bremner}, Proc. Lond. Math. Soc. (3) 116, No. 4, 1028 (2018; Zbl 1408.14085) Full Text: DOI
Kim, Henry H.; Wolske, Zack Pure cubic fields with large minimal index. (English) Zbl 1431.11120 Acta Arith. 182, No. 3, 271-277 (2018). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11J68 11D25 PDFBibTeX XMLCite \textit{H. H. Kim} and \textit{Z. Wolske}, Acta Arith. 182, No. 3, 271--277 (2018; Zbl 1431.11120) Full Text: DOI
Kulkarni, Avinash An explicit family of cubic number fields with large 2-rank of the class group. (English) Zbl 1422.11222 Acta Arith. 182, No. 2, 117-132 (2018). MSC: 11R16 11R29 11G30 14J26 PDFBibTeX XMLCite \textit{A. Kulkarni}, Acta Arith. 182, No. 2, 117--132 (2018; Zbl 1422.11222) Full Text: DOI arXiv
González-Jiménez, Enrique; Lozano-Robledo, Álvaro On the torsion of rational elliptic curves over quartic fields. (English) Zbl 1397.11092 Math. Comput. 87, No. 311, 1457-1478 (2018). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 14H52 14G05 11R16 PDFBibTeX XMLCite \textit{E. González-Jiménez} and \textit{Á. Lozano-Robledo}, Math. Comput. 87, No. 311, 1457--1478 (2018; Zbl 1397.11092) Full Text: DOI arXiv
Zhang, Yong On the Diophantine equation \(f(x)f(y)=f(z)^n\) involving Laurent polynomials. (English) Zbl 1431.11050 Colloq. Math. 151, No. 1, 111-122 (2018). Reviewer: Thomas Schmidt (Corvallis) MSC: 11D72 11D25 11D41 11G05 PDFBibTeX XMLCite \textit{Y. Zhang}, Colloq. Math. 151, No. 1, 111--122 (2018; Zbl 1431.11050) Full Text: DOI arXiv
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