Tho, Nguyen Xuan On the difference of two fourth powers. (English) Zbl 07811758 Proc. Edinb. Math. Soc., II. Ser. 67, No. 1, 142-150 (2024). MSC: 14G25 14H50 PDFBibTeX XMLCite \textit{N. X. Tho}, Proc. Edinb. Math. Soc., II. Ser. 67, No. 1, 142--150 (2024; Zbl 07811758) Full Text: DOI
Majumdar, Dipramit; Shingavekar, Pratiksha Cube sum problem for integers having exactly two distinct prime factors. (English) Zbl 1528.11042 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 43, 22 p. (2023). MSC: 11G05 11F67 11D25 14H52 PDFBibTeX XMLCite \textit{D. Majumdar} and \textit{P. Shingavekar}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 43, 22 p. (2023; Zbl 1528.11042) Full Text: DOI arXiv
Djukanović, Martin; Top, Jaap A \(K3\) surface related to Leonardo Pisano’s work on congruent numbers. (English) Zbl 1525.14047 Expo. Math. 41, No. 3, 566-576 (2023). Reviewer: Noriko Yui (Kingston) MSC: 14J28 11D09 11G05 14J20 14J27 PDFBibTeX XMLCite \textit{M. Djukanović} and \textit{J. Top}, Expo. Math. 41, No. 3, 566--576 (2023; Zbl 1525.14047) Full Text: DOI
Kazhdan, David; Polishchuk, Alexander Schmidt rank of quartics over perfect fields. (English) Zbl 1519.14049 Isr. J. Math. 255, No. 2, 851-869 (2023). Reviewer: Edoardo Ballico (Povo) MSC: 14N07 12E05 15A21 13A02 14R20 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{A. Polishchuk}, Isr. J. Math. 255, No. 2, 851--869 (2023; Zbl 1519.14049) Full Text: DOI arXiv
Bremner, Andrew; Nguyen Xuan Tho On Fermat quartics \(x^4+y^4 = Dz^4\) over cubic fields. (English) Zbl 07683780 Acta Arith. 207, No. 3, 217-234 (2023). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R16 14G05 14G25 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Acta Arith. 207, No. 3, 217--234 (2023; Zbl 07683780) Full Text: DOI
Huang, Tinghao; Lalín, Matilde; Mila, Olivier Spherical Heron triangles and elliptic curves. (English) Zbl 07682960 J. Théor. Nombres Bordx. 35, No. 1, 219-246 (2023). Reviewer: Sungkon Chang (Savannah) MSC: 11G05 14J27 14J28 14H52 11D25 PDFBibTeX XMLCite \textit{T. Huang} et al., J. Théor. Nombres Bordx. 35, No. 1, 219--246 (2023; Zbl 07682960) Full Text: DOI arXiv
Box, Josha; Gajović, Stevan; Goodman, Pip Cubic and quartic points on modular curves using generalised symmetric Chabauty. (English) Zbl 1526.11030 Int. Math. Res. Not. 2023, No. 7, 5604-5659 (2023). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G18 11G30 11G35 14K20 PDFBibTeX XMLCite \textit{J. Box} et al., Int. Math. Res. Not. 2023, No. 7, 5604--5659 (2023; Zbl 1526.11030) Full Text: DOI arXiv
Wong, Siman On the rank of cubic and quartic twists of elliptic curves by primes. (English) Zbl 1519.14032 J. Number Theory 246, 157-165 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 14H52 11G05 11G35 11N36 PDFBibTeX XMLCite \textit{S. Wong}, J. Number Theory 246, 157--165 (2023; Zbl 1519.14032) Full Text: DOI
Costa, Edgar; Harvey, David; Sutherland, Andrew V. Counting points on smooth plane quartics. (English) Zbl 1507.11058 Res. Number Theory 9, No. 1, Paper No. 1, 32 p. (2023). Reviewer: István Gaál (Debrecen) MSC: 11G40 11G20 11Y16 14G10 PDFBibTeX XMLCite \textit{E. Costa} et al., Res. Number Theory 9, No. 1, Paper No. 1, 32 p. (2023; Zbl 1507.11058) Full Text: DOI arXiv
Dina, Bogdan; Ionica, Sorina; Sijsling, Jeroen Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication. (English) Zbl 1507.14044 Math. Comput. 92, No. 339, 349-383 (2023). Reviewer: Tony Ezome (Libreville) MSC: 14H40 14H25 14H45 14H50 14K20 14K22 PDFBibTeX XMLCite \textit{B. Dina} et al., Math. Comput. 92, No. 339, 349--383 (2023; Zbl 1507.14044) Full Text: DOI arXiv
Gužvić, Tomislav; Roy, Bidisha Torsion subgroups of rational Mordell curves over some families of number fields. (English) Zbl 1524.11117 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 30, No. 2, 125-132 (2022). MSC: 11G05 11R16 11R21 14H52 PDFBibTeX XMLCite \textit{T. Gužvić} and \textit{B. Roy}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 30, No. 2, 125--132 (2022; Zbl 1524.11117) Full Text: arXiv
Duke, W. On elliptic curves and binary quartic forms. (English) Zbl 1519.11015 Int. Math. Res. Not. 2022, No. 23, 19078-19104 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11D25 11E76 11G05 11M41 14H52 PDFBibTeX XMLCite \textit{W. Duke}, Int. Math. Res. Not. 2022, No. 23, 19078--19104 (2022; Zbl 1519.11015) Full Text: DOI
Nomoto, Keiichiro The rank of a CM elliptic curve and a recurrence formula. (English) Zbl 1522.11068 J. Number Theory 238, 60-81 (2022). MSC: 11G40 11G05 11D25 14H45 PDFBibTeX XMLCite \textit{K. Nomoto}, J. Number Theory 238, 60--81 (2022; Zbl 1522.11068) Full Text: DOI arXiv
Desjardins, Julie; Winter, Rosa [Colliot-Thélène, Jean-Louis] Density of rational points on a family of del Pezzo surfaces of degree one (with an appendix by Jean-Louis Colliot-Thélène). (English) Zbl 1491.14035 Adv. Math. 405, Article ID 108489, 20 p. (2022). Reviewer: Matthias Schütt (Hannover) MSC: 14G05 14M20 11G05 11D25 14J26 PDFBibTeX XMLCite \textit{J. Desjardins} and \textit{R. Winter}, Adv. Math. 405, Article ID 108489, 20 p. (2022; Zbl 1491.14035) Full Text: DOI arXiv
Kamel, Alwaleed; Saleem, Mohammed A.; Elshareef, Waleed K. Group generated by total sextactic points of a family of quartic curves. (English) Zbl 1490.11066 Commun. Algebra 50, No. 3, 1342-1362 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 14H45 PDFBibTeX XMLCite \textit{A. Kamel} et al., Commun. Algebra 50, No. 3, 1342--1362 (2022; Zbl 1490.11066) Full Text: DOI
González, Josep On the \(p\)-th division polynomial. (English) Zbl 1486.11086 J. Number Theory 233, 285-300 (2022). MSC: 11G05 11G20 11D25 14H52 PDFBibTeX XMLCite \textit{J. González}, J. Number Theory 233, 285--300 (2022; Zbl 1486.11086) Full Text: DOI
Alpöge, Levent; Bhargava, Manjul; Shnidman, Ari Integers expressible as the sum of two rational cubes. arXiv:2210.10730 Preprint, arXiv:2210.10730 [math.NT] (2022). MSC: 11G05 14G05 11D25 BibTeX Cite \textit{L. Alpöge} et al., ``Integers expressible as the sum of two rational cubes'', Preprint, arXiv:2210.10730 [math.NT] (2022) Full Text: arXiv OA License
Bouw, Irene; Coppola, Nirvana; Kılıçer, Pınar; Kunzweiler, Sabrina; García, Elisa Lorenzo; Somoza, Anna Reduction types of genus-3 curves in a special stratum of their moduli space. (English) Zbl 1506.14058 Cojocaru, Alina Carmen (ed.) et al., Women in numbers Europe III. Research directions in number theory. Selected papers based on the presentations at the 3rd conference, WINE 3, La Hublais, Center in Cesson-Sévigné, Bretagne, France, August 26–30, 2019. Cham: Springer. Assoc. Women Math. Ser. 24, 115-162 (2021). Reviewer: Scott Nollet (Fort Worth) MSC: 14H10 14H50 14H25 11G20 14Q05 PDFBibTeX XMLCite \textit{I. Bouw} et al., Assoc. Women Math. Ser. 24, 115--162 (2021; Zbl 1506.14058) Full Text: DOI arXiv
Lercier, Reynald; Lorenzo García, Elisa; Ritzenthaler, Christophe Stable models of plane quartics with hyperelliptic reduction. (English) Zbl 1519.11035 Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 223-237 (2021). Reviewer: Sungkon Chang (Savannah) MSC: 11G20 14Q05 14D10 14D20 14H25 PDFBibTeX XMLCite \textit{R. Lercier} et al., Contemp. Math. 770, 223--237 (2021; Zbl 1519.11035) Full Text: DOI arXiv
Loughran, Daniel; Mitankin, Vladimir Integral Hasse principle and strong approximation for Markoff surfaces. (English) Zbl 1485.11106 Int. Math. Res. Not. 2021, No. 18, 14086-14122 (2021). Reviewer: Paul Voutier (London) MSC: 11G25 11D25 14G12 PDFBibTeX XMLCite \textit{D. Loughran} and \textit{V. Mitankin}, Int. Math. Res. Not. 2021, No. 18, 14086--14122 (2021; Zbl 1485.11106) Full Text: DOI arXiv
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe Reduction type of smooth plane quartics. (English) Zbl 1494.13006 Algebra Number Theory 15, No. 6, 1429-1468 (2021). Reviewer: Sophie Kriz (Ann Arbor) MSC: 13A50 14H10 14H25 14L24 PDFBibTeX XMLCite \textit{R. Lercier} et al., Algebra Number Theory 15, No. 6, 1429--1468 (2021; Zbl 1494.13006) Full Text: DOI arXiv
Kamel, Alwaleed Group generated by total sextactic points of Kuribayashi quartic curve. (English) Zbl 1482.11090 J. Algebra Appl. 20, No. 10, Article ID 2150184, 14 p. (2021). Reviewer: Robin Zhang (Princeton) MSC: 11G30 14H45 14H40 PDFBibTeX XMLCite \textit{A. Kamel}, J. Algebra Appl. 20, No. 10, Article ID 2150184, 14 p. (2021; Zbl 1482.11090) Full Text: DOI
Karemaker, Valentijn; Marques, Sophie; Sijsling, Jeroen Cubic function fields with prescribed ramification. (English) Zbl 1491.11100 Int. J. Number Theory 17, No. 9, 2019-2053 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R16 11R58 11R11 14H05 14H10 PDFBibTeX XMLCite \textit{V. Karemaker} et al., Int. J. Number Theory 17, No. 9, 2019--2053 (2021; Zbl 1491.11100) Full Text: DOI arXiv
Barańczuk, Stefan A note on the Diophantine equation \((x^2-1)(y^2-1)=(z^2-1)^2\). (English) Zbl 1478.11039 Banaszak, Grzegorz (ed.) et al., Arithmetic methods in mathematical physics and biology II. Proceedings of the 2nd international conference, Będlewo, Poland, August 5–11, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 124, 23-26 (2021). Reviewer: Victor Wang (Princeton) MSC: 11D25 11G05 14J27 14J28 PDFBibTeX XMLCite \textit{S. Barańczuk}, Banach Cent. Publ. 124, 23--26 (2021; Zbl 1478.11039) Full Text: DOI
Hirakawa, Yoshinosuke; Matsumura, Hideki Infinitely many hyperelliptic curves with exactly two rational points. (English) Zbl 1471.11201 Rocky Mt. J. Math. 51, No. 3, 883-889 (2021). MSC: 11G30 11G05 11D25 14G05 PDFBibTeX XMLCite \textit{Y. Hirakawa} and \textit{H. Matsumura}, Rocky Mt. J. Math. 51, No. 3, 883--889 (2021; Zbl 1471.11201) Full Text: DOI arXiv
Laflamme, Jeanne; Lalín, Matilde On Ceva points of (almost) equilateral triangles. (English) Zbl 1475.11114 J. Number Theory 222, 48-74 (2021). Reviewer: David McKinnon (Waterloo) MSC: 11G05 14J27 14J28 14H52 11D25 PDFBibTeX XMLCite \textit{J. Laflamme} and \textit{M. Lalín}, J. Number Theory 222, 48--74 (2021; Zbl 1475.11114) Full Text: DOI
Moody, Dustin; Shamsi Zargar, Arman On the rank of elliptic curves arising from Pythagorean quadruplets. II. (English) Zbl 1467.14075 Colloq. Math. 163, No. 2, 189-196 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 14H52 11G05 11D25 PDFBibTeX XMLCite \textit{D. Moody} and \textit{A. Shamsi Zargar}, Colloq. Math. 163, No. 2, 189--196 (2021; Zbl 1467.14075) Full Text: DOI
Chen, Sheng Integral points on twisted Markoff surfaces. (English) Zbl 1468.11149 J. Number Theory 220, 212-234 (2021). MSC: 11G35 11D25 14F22 14G12 PDFBibTeX XMLCite \textit{S. Chen}, J. Number Theory 220, 212--234 (2021; Zbl 1468.11149) Full Text: DOI arXiv
Elsenhans, Andreas-Stephan; Stoll, Michael Minimization of hypersurfaces. arXiv:2110.04625 Preprint, arXiv:2110.04625 [math.NT] (2021). MSC: 11D25 11D41 11G30 14G25 14Q05 14Q10 14Q25 11Y99 BibTeX Cite \textit{A.-S. Elsenhans} and \textit{M. Stoll}, ``Minimization of hypersurfaces'', Preprint, arXiv:2110.04625 [math.NT] (2021) Full Text: arXiv OA License
Colliot-Thélène, Jean-Louis; Wei, Dasheng; Xu, Fei Brauer-Manin obstruction for Markoff surfaces. (English) Zbl 1478.11091 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 1257-1313 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 11G35 11D25 14F22 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 1257--1313 (2020; Zbl 1478.11091) Full Text: DOI arXiv
Das, Shamik; Saikia, Anupam Families of non-congruent numbers with arbitrarily many pairs of prime factors. (English) Zbl 1459.11085 Integers 20, Paper A55, 12 p. (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11G05 14G05 14H25 PDFBibTeX XMLCite \textit{S. Das} and \textit{A. Saikia}, Integers 20, Paper A55, 12 p. (2020; Zbl 1459.11085) Full Text: Link
Bremner, Andrew; Choudhry, Ajai The Fermat cubic and quartic curves over cyclic fields. (English) Zbl 1474.14041 Period. Math. Hung. 80, No. 2, 147-157 (2020). MSC: 14G25 11D25 11G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{A. Choudhry}, Period. Math. Hung. 80, No. 2, 147--157 (2020; Zbl 1474.14041) Full Text: DOI
Ishitsuka, Yasuhiro; Ito, Tetsushi; Ohshita, Tatsuya; Taniguchi, Takashi; Uchida, Yukihiro The local-global property for bitangents of plane quartics. (English) Zbl 1448.14023 JSIAM Lett. 12, 41-44 (2020). MSC: 14H25 14J20 14J42 11G35 PDFBibTeX XMLCite \textit{Y. Ishitsuka} et al., JSIAM Lett. 12, 41--44 (2020; Zbl 1448.14023) Full Text: DOI arXiv
Ishitsuka, Yasuhiro; Ito, Tetsushi; Ohshita, Tatsuya Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic. (English) Zbl 1491.11065 Int. J. Number Theory 16, No. 4, 881-905 (2020). MSC: 11G25 11D41 11F80 11G10 14H50 14K15 14K30 PDFBibTeX XMLCite \textit{Y. Ishitsuka} et al., Int. J. Number Theory 16, No. 4, 881--905 (2020; Zbl 1491.11065) Full Text: DOI arXiv
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula Hypergeometric decomposition of symmetric \(K3\) quartic pencils. (English) Zbl 1441.14128 Res. Math. Sci. 7, No. 2, Paper No. 7, 81 p. (2020). Reviewer: Noriko Yui (Kingston) MSC: 14J28 14Q10 33C05 33D67 PDFBibTeX XMLCite \textit{C. F. Doran} et al., Res. Math. Sci. 7, No. 2, Paper No. 7, 81 p. (2020; Zbl 1441.14128) Full Text: DOI arXiv
Shamsi Zargar, Arman On the rank of elliptic curves arising from Pythagorean quadruplets. (English) Zbl 1441.14108 Kodai Math. J. 43, No. 1, 129-142 (2020). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11D25 11D09 14H52 PDFBibTeX XMLCite \textit{A. Shamsi Zargar}, Kodai Math. J. 43, No. 1, 129--142 (2020; Zbl 1441.14108) Full Text: DOI Euclid
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter Markoff triples and strong approximation. (Triplets de Markoff et approximation forte.) (English. French summary) Zbl 1378.11043 C. R., Math., Acad. Sci. Paris 354, No. 2, 131-135 (2016). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G25 11G35 14G15 PDFBibTeX XMLCite \textit{J. Bourgain} et al., C. R., Math., Acad. Sci. Paris 354, No. 2, 131--135 (2016; Zbl 1378.11043) Full Text: DOI arXiv
González-Jiménez, Enrique; Najman, Filip; Tornero, José M. Torsion of rational elliptic curves over cubic fields. (English) Zbl 1358.11068 Rocky Mt. J. Math. 46, No. 6, 1899-1917 (2016). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11R16 14G05 14H52 PDFBibTeX XMLCite \textit{E. González-Jiménez} et al., Rocky Mt. J. Math. 46, No. 6, 1899--1917 (2016; Zbl 1358.11068) Full Text: DOI arXiv Euclid
Naskręcki, Bartosz Distribution of Mordell-Weil ranks of families of elliptic curves. (English) Zbl 1351.14021 Gładki, Paweł (ed.) et al., Algebra, logic and number theory. Proceedings of the 3rd joint conferences on algebra, logic and number theory, Bȩdlewo, Poland, June 8–13, 2014. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-31-7/pbk). Banach Center Publications 108, 201-229 (2016). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11D25 11D45 11G05 PDFBibTeX XMLCite \textit{B. Naskręcki}, Banach Cent. Publ. 108, 201--229 (2016; Zbl 1351.14021) Full Text: DOI arXiv
Bright, M. J.; Browning, T. D.; Loughran, D. Failures of weak approximation in families. (English) Zbl 1348.14067 Compos. Math. 152, No. 7, 1435-1475 (2016). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 14G25 14D10 11G35 11D25 PDFBibTeX XMLCite \textit{M. J. Bright} et al., Compos. Math. 152, No. 7, 1435--1475 (2016; Zbl 1348.14067) Full Text: DOI arXiv
Morton, Patrick Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. I. (English) Zbl 1419.11059 New York J. Math. 22, 715-740 (2016). MSC: 11D41 11G07 11G15 14H05 PDFBibTeX XMLCite \textit{P. Morton}, New York J. Math. 22, 715--740 (2016; Zbl 1419.11059) Full Text: arXiv EMIS
Destagnol, Kevin La conjecture de Manin pour certaines surfaces de Châtelet. (English) Zbl 1362.11044 Acta Arith. 174, No. 1, 31-97 (2016). Reviewer: B. Z. Moroz (Bonn) MSC: 11D45 11G35 14G25 11N37 14J20 11D25 PDFBibTeX XMLCite \textit{K. Destagnol}, Acta Arith. 174, No. 1, 31--97 (2016; Zbl 1362.11044) Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Pirutka, Alena Three-dimensional quartic threefolds: stable non-rationality. (Hypersurfaces quartiques de dimension 3: non-rationalité stable.) (French. English summary) Zbl 1371.14028 Ann. Sci. Éc. Norm. Supér. (4) 49, No. 2, 371-397 (2016). MSC: 14G25 14M20 14E08 14C25 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} and \textit{A. Pirutka}, Ann. Sci. Éc. Norm. Supér. (4) 49, No. 2, 371--397 (2016; Zbl 1371.14028) Full Text: DOI arXiv Link
Bremner, Andrew; Ulas, Maciej Points at rational distances from the vertices of certain geometric objects. (English) Zbl 1400.11085 J. Number Theory 158, 104-133 (2016). MSC: 11D25 11G35 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{M. Ulas}, J. Number Theory 158, 104--133 (2016; Zbl 1400.11085) Full Text: DOI arXiv
Naskręcki, Bartosz Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms. arXiv:1609.04715 Preprint, arXiv:1609.04715 [math.NT] (2016). MSC: 14H52 11D25 11D45 11G05 BibTeX Cite \textit{B. Naskręcki}, ``Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms'', Preprint, arXiv:1609.04715 [math.NT] (2016) Full Text: arXiv OA License
Ishitsuka, Yasuhiro Linear determinantal representations of smooth plane cubics over finite fields. arXiv:1604.00115 Preprint, arXiv:1604.00115 [math.AG] (2016). MSC: 14H50 11D25 12Y05 14G15 15A33 BibTeX Cite \textit{Y. Ishitsuka}, ``Linear determinantal representations of smooth plane cubics over finite fields'', Preprint, arXiv:1604.00115 [math.AG] (2016) Full Text: arXiv OA License
Landquist, Eric; Scheidler, Renate; Stein, Andreas Class number and regulator computation in cubic function fields. arXiv:1601.03309 Preprint, arXiv:1601.03309 [math.NT] (2016). MSC: 11R16 11R58 11R29 11Y16 11Y40 14H05 14Q05 BibTeX Cite \textit{E. Landquist} et al., ``Class number and regulator computation in cubic function fields'', Preprint, arXiv:1601.03309 [math.NT] (2016) Full Text: arXiv OA License
González-Jiménez, Enrique Covering techniques and rational points on some genus 5 curves. (English) Zbl 1416.11104 Chamizo, Fernando (ed.) et al., Trends in number theory. Fifth Spanish meeting on number theory, Universidad de Sevilla, Sevilla, Spain, July 8–12, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 649, 89-105 (2015). MSC: 11G30 14H25 11B25 11D25 11D09 PDFBibTeX XMLCite \textit{E. González-Jiménez}, Contemp. Math. 649, 89--105 (2015; Zbl 1416.11104) Full Text: arXiv
Mikić, Miljen; Najman, Filip On the number of \(n\)-isogenies of elliptic curves over number fields. (English) Zbl 1395.11092 Glas. Mat., III. Ser. 50, No. 2, 333-348 (2015). MSC: 11G05 11G18 11R16 14G25 PDFBibTeX XMLCite \textit{M. Mikić} and \textit{F. Najman}, Glas. Mat., III. Ser. 50, No. 2, 333--348 (2015; Zbl 1395.11092) Full Text: DOI Link
Rams, Sławomir; Schütt, Matthias 112 lines on smooth quartic surfaces (characteristic 3). (English) Zbl 1330.14064 Q. J. Math. 66, No. 3, 941-951 (2015). Reviewer: Noriko Yui (Kingston) MSC: 14J25 14J28 14J70 14N25 14N20 PDFBibTeX XMLCite \textit{S. Rams} and \textit{M. Schütt}, Q. J. Math. 66, No. 3, 941--951 (2015; Zbl 1330.14064) Full Text: DOI arXiv
Baxa, Ch. Book review of: A. Ash and R. Gross, Elliptic tales. Curves, counting, and number theory. (English) Zbl 1321.00012 Monatsh. Math. 177, No. 3, 493-494 (2015). MSC: 00A17 11-01 11G05 11D25 14H52 14G10 PDFBibTeX XMLCite \textit{Ch. Baxa}, Monatsh. Math. 177, No. 3, 493--494 (2015; Zbl 1321.00012) Full Text: DOI
Thorne, Jack A. \(E_{6}\) and the arithmetic of a family of non-hyperelliptic curves of genus 3. (English) Zbl 1346.14058 Forum Math. Pi 3, Paper No. e1, 41 p. (2015). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 14G05 14L30 11G30 PDFBibTeX XMLCite \textit{J. A. Thorne}, Forum Math. Pi 3, Paper No. e1, 41 p. (2015; Zbl 1346.14058) Full Text: DOI
Ieronymou, Evis; Skorobogatov, Alexei N. Odd order Brauer-Manin obstruction on diagonal quartic surfaces. (English) Zbl 1388.14071 Adv. Math. 270, 181-205 (2015); corrigendum ibid. 307, 1372-1377 (2017). MSC: 14G05 14F22 11D25 14G25 PDFBibTeX XMLCite \textit{E. Ieronymou} and \textit{A. N. Skorobogatov}, Adv. Math. 270, 181--205 (2015; Zbl 1388.14071) Full Text: DOI arXiv
Ash, Avner; Gross, Robert Elliptic tales. Curves, counting, and number theory. Reprint of the 2012 hardback edition. (English) Zbl 1300.11054 Princeton, NJ: Princeton University Press (ISBN 978-0-691-16350-5/pbk; 978-1-400-84171-4/ebook). xvii, 253 p. (2015). MSC: 11-01 11G05 11D25 14H52 14G10 PDFBibTeX XMLCite \textit{A. Ash} and \textit{R. Gross}, Elliptic tales. Curves, counting, and number theory. Reprint of the 2012 hardback edition. Princeton, NJ: Princeton University Press (2015; Zbl 1300.11054) Full Text: DOI
Li, Fei A type of elliptic curve \(y^2=x(x-p)(x-q)\) with no nontrivial integer points. (Chinese. English summary) Zbl 1324.11045 J. Cap. Norm. Univ., Nat. Sci. Ed. 35, No. 2, 5-6, 11 (2014). MSC: 11G05 14H52 11D25 PDFBibTeX XMLCite \textit{F. Li}, J. Cap. Norm. Univ., Nat. Sci. Ed. 35, No. 2, 5--6, 11 (2014; Zbl 1324.11045)
Bremner, Andrew; MacLeod, Allan An unusual cubic representation problem. (English) Zbl 1319.11019 Ann. Math. Inform. 43, 29-41 (2014). MSC: 11D25 11G05 11Y50 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{A. MacLeod}, Ann. Math. Inform. 43, 29--41 (2014; Zbl 1319.11019) Full Text: Link
Hố, Q. P.; Lê Hùng, V. B.; Ngô, B. C. Average size of 2-Selmer groups of elliptic curves over function fields. (English) Zbl 1316.14055 Math. Res. Lett. 21, No. 6, 1305-1339 (2014). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11G05 11E76 PDFBibTeX XMLCite \textit{Q. P. Hố} et al., Math. Res. Lett. 21, No. 6, 1305--1339 (2014; Zbl 1316.14055) Full Text: DOI arXiv
Duquesne, Sylvain; El Mrabet, Nadia; Fouotsa, Emmanuel Efficient computation of pairings on Jacobi quartic elliptic curves. (English) Zbl 1311.14032 J. Math. Cryptol. 8, No. 4, 331-362 (2014). Reviewer: Guillermo Matera (Buenos Aires) MSC: 14H52 11G20 68W40 94A60 PDFBibTeX XMLCite \textit{S. Duquesne} et al., J. Math. Cryptol. 8, No. 4, 331--362 (2014; Zbl 1311.14032) Full Text: DOI HAL
von Känel, Rafael Integral points on moduli schemes of elliptic curves. (English) Zbl 1366.11062 Trans. Lond. Math. Soc. 1, No. 1, 85-115 (2014). MSC: 11D25 11G05 14D20 PDFBibTeX XMLCite \textit{R. von Känel}, Trans. Lond. Math. Soc. 1, No. 1, 85--115 (2014; Zbl 1366.11062) Full Text: DOI arXiv
Browning, T. D.; Vishe, P. Cubic hypersurfaces and a version of the circle method for number fields. (English) Zbl 1298.11098 Duke Math. J. 163, No. 10, 1825-1883 (2014). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D25 11D72 11E76 11R21 14G05 PDFBibTeX XMLCite \textit{T. D. Browning} and \textit{P. Vishe}, Duke Math. J. 163, No. 10, 1825--1883 (2014; Zbl 1298.11098) Full Text: DOI arXiv
de la Bretèche, R.; Browning, T. D. Density of Châtelet surfaces failing the Hasse principle. (English) Zbl 1291.14041 Proc. Lond. Math. Soc. (3) 108, No. 4, 1030-1078 (2014). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11D25 14J20 11G35 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{T. D. Browning}, Proc. Lond. Math. Soc. (3) 108, No. 4, 1030--1078 (2014; Zbl 1291.14041) Full Text: DOI arXiv
Derenthal, Ulrich; Frei, Christopher Counting imaginary quadratic points via universal torsors. II. (English) Zbl 1292.14017 Math. Proc. Camb. Philos. Soc. 156, No. 3, 383-407 (2014). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11D45 11D25 14J20 PDFBibTeX XMLCite \textit{U. Derenthal} and \textit{C. Frei}, Math. Proc. Camb. Philos. Soc. 156, No. 3, 383--407 (2014; Zbl 1292.14017) Full Text: DOI arXiv
Preu, Thomas Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface. (English) Zbl 1290.14015 Skorobogatov, Alexei N. (ed.), Torsors, étale homotopy and applications to rational points. Lecture notes of mini-courses presented at the workshop “Torsors: theory and applications”, Edinburgh, UK, January 10–14, 2011 and at the study group organised in Imperial College, London, UK in autumn 2010. Cambridge: Cambridge University Press (ISBN 978-1-107-61612-7/pbk; 978-1-139-52535-0/ebook). London Mathematical Society Lecture Note Series 405, 447-459 (2013). MSC: 14G05 11G35 11D25 14F22 PDFBibTeX XMLCite \textit{T. Preu}, Lond. Math. Soc. Lect. Note Ser. 405, 447--459 (2013; Zbl 1290.14015)
Swarbrick Jones, Mike Weak approximation for cubic hypersurfaces of large dimension. (English) Zbl 1368.11058 Algebra Number Theory 7, No. 6, 1353-1363 (2013). MSC: 11G35 11D25 11D72 11P55 14G25 PDFBibTeX XMLCite \textit{M. Swarbrick Jones}, Algebra Number Theory 7, No. 6, 1353--1363 (2013; Zbl 1368.11058) Full Text: DOI arXiv
Fujita, Yasutsugu; Terai, Nobuhiro Generators and integer points on the elliptic curve \(y^2=x^3-nx\). (English) Zbl 1310.11036 Acta Arith. 160, No. 4, 333-348 (2013). MSC: 11D25 11G05 14G05 11G50 PDFBibTeX XMLCite \textit{Y. Fujita} and \textit{N. Terai}, Acta Arith. 160, No. 4, 333--348 (2013; Zbl 1310.11036) Full Text: DOI
Swinnerton-Dyer, H. P. F. Density of rational points on certain surfaces. (English) Zbl 1277.11070 Algebra Number Theory 7, No. 4, 835-851 (2013). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11G35 14G05 11D25 PDFBibTeX XMLCite \textit{H. P. F. Swinnerton-Dyer}, Algebra Number Theory 7, No. 4, 835--851 (2013; Zbl 1277.11070) Full Text: DOI
Naskrȩcki, Bartosz Mordell-Weil ranks of families of elliptic curves associated to Pythagorean triples. (English) Zbl 1279.14040 Acta Arith. 160, No. 2, 159-183 (2013). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11G05 11D25 11D45 PDFBibTeX XMLCite \textit{B. Naskrȩcki}, Acta Arith. 160, No. 2, 159--183 (2013; Zbl 1279.14040) Full Text: DOI arXiv
Hooley, Christopher On nonary cubic forms. IV. (English) Zbl 1370.11118 J. Reine Angew. Math. 680, 23-39 (2013). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D25 11D72 11E76 11G35 14G05 14J17 14J20 PDFBibTeX XMLCite \textit{C. Hooley}, J. Reine Angew. Math. 680, 23--39 (2013; Zbl 1370.11118) Full Text: DOI
Woo, Sung Sik Cubic formula and cubic curves. (English) Zbl 1328.11033 Commun. Korean Math. Soc. 28, No. 2, 209-224 (2013). MSC: 11D25 11G05 14G05 PDFBibTeX XMLCite \textit{S. S. Woo}, Commun. Korean Math. Soc. 28, No. 2, 209--224 (2013; Zbl 1328.11033) Full Text: DOI Link
Elsenhans, Andreas-Stephan; Jahnel, Jörg On the computation of the Picard group for certain singular quartic surfaces. (English) Zbl 1317.14086 Math. Slovaca 63, No. 2, 215-228 (2013). Reviewer: Ronald van Luijk (Leiden) MSC: 14J28 14G05 14C22 14J20 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, Math. Slovaca 63, No. 2, 215--228 (2013; Zbl 1317.14086) Full Text: DOI