Zhao, Dahu; Lu, Jingping Conditions of the origin to be a center and bifurcation of limit cycles for a quartic polynomial system. (Chinese. English summary) Zbl 1289.34097 J. Nat. Sci. Heilongjiang Univ. 29, No. 6, 767-770, 775 (2012). MSC: 34C05 34C07 34C23 PDFBibTeX XMLCite \textit{D. Zhao} and \textit{J. Lu}, J. Nat. Sci. Heilongjiang Univ. 29, No. 6, 767--770, 775 (2012; Zbl 1289.34097)
de la Bretèche, R.; Browning, T. D. Binary forms as sums of two squares and Châtelet surfaces. (English) Zbl 1293.11058 Isr. J. Math. 191, Part B, 973-1012 (2012). Reviewer: B. Z. Moroz (Bonn) MSC: 11D25 11D45 14G05 14G25 11G35 14J20 11E25 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{T. D. Browning}, Isr. J. Math. 191, Part B, 973--1012 (2012; Zbl 1293.11058) Full Text: DOI arXiv
Kenary, Hassan Azadi Nonlinear fuzzy approximation of a mixed type ACQ functional equation via fixed point alternative. (English) Zbl 1271.39028 Math. Sci., Springer 6, Paper No. 54, 10 p. (2012). MSC: 39B82 39B52 46S10 PDFBibTeX XMLCite \textit{H. A. Kenary}, Math. Sci., Springer 6, Paper No. 54, 10 p. (2012; Zbl 1271.39028) Full Text: DOI
Rozenhart, Pieter; Jacobson, Michael jun.; Scheidler, Renate Tabulation of cubic function fields via polynomial binary cubic forms. (English) Zbl 1290.11154 Math. Comput. 81, No. 280, 2335-2359 (2012). Reviewer: Andreas Stein (Oldenburg) MSC: 11R58 11Y40 11R16 PDFBibTeX XMLCite \textit{P. Rozenhart} et al., Math. Comput. 81, No. 280, 2335--2359 (2012; Zbl 1290.11154) Full Text: DOI arXiv
Yang, Shichun; He, Bo The solutions of a class of exponential Diophantine equations. (Chinese. English summary) Zbl 1274.11097 Adv. Math., Beijing 41, No. 5, 565-573 (2012). MSC: 11D61 11D25 11J86 11D88 PDFBibTeX XMLCite \textit{S. Yang} and \textit{B. He}, Adv. Math., Beijing 41, No. 5, 565--573 (2012; Zbl 1274.11097)
Chen, Houyan Integral points on twin primes elliptic curves for \(p=3\). (English) Zbl 1274.11081 J. Math., Wuhan Univ. 32, No. 5, 809-815 (2012). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{H. Chen}, J. Math., Wuhan Univ. 32, No. 5, 809--815 (2012; Zbl 1274.11081)
Matić, Ljerka Jukić Non-existence of certain Diophantine quadruples in rings of integers of pure cubic fields. (English) Zbl 1284.11057 Proc. Japan Acad., Ser. A 88, No. 10, 163-167 (2012). Reviewer: Volker Ziegler (Linz) MSC: 11D09 11R16 11D79 PDFBibTeX XMLCite \textit{L. J. Matić}, Proc. Japan Acad., Ser. A 88, No. 10, 163--167 (2012; Zbl 1284.11057) Full Text: DOI Euclid
Lemmermeyer, Franz Binomial squares in pure cubic number fields. (English. French summary) Zbl 1269.11108 J. Théor. Nombres Bordx. 24, No. 3, 691-704 (2012). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11G05 11R37 PDFBibTeX XMLCite \textit{F. Lemmermeyer}, J. Théor. Nombres Bordx. 24, No. 3, 691--704 (2012; Zbl 1269.11108) Full Text: DOI arXiv
Tian, Ye Congruent numbers with many prime factors. (English) Zbl 1298.11053 Proc. Natl. Acad. Sci. USA 109, No. 52, 21256-21258 (2012). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G05 11D25 11G40 PDFBibTeX XMLCite \textit{Y. Tian}, Proc. Natl. Acad. Sci. USA 109, No. 52, 21256--21258 (2012; Zbl 1298.11053) Full Text: DOI arXiv
Fujita, Yasutsugu; Terai, Nobuhiro On the rank of the elliptic curve \(y^2=x^3-nx\). (English) Zbl 1271.11033 Int. J. Algebra 6, No. 17-20, 885-901 (2012). Reviewer: Maciej Ulas (Kraków) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{Y. Fujita} and \textit{N. Terai}, Int. J. Algebra 6, No. 17--20, 885--901 (2012; Zbl 1271.11033) Full Text: Link
Jȩdrzejak, Tomasz Congruent numbers over real number fields. (English) Zbl 1290.11095 Colloq. Math. 128, No. 2, 179-186 (2012). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{T. Jȩdrzejak}, Colloq. Math. 128, No. 2, 179--186 (2012; Zbl 1290.11095) Full Text: DOI
Sairaiji, Fumio; Yamauchi, Takuya The rank of Jacobian varieties over the maximal abelian extensions of number fields: towards the Frey-Jarden conjecture. (English) Zbl 1275.11098 Can. Math. Bull. 55, No. 4, 842-849 (2012). MSC: 11G05 11D25 14K15 PDFBibTeX XMLCite \textit{F. Sairaiji} and \textit{T. Yamauchi}, Can. Math. Bull. 55, No. 4, 842--849 (2012; Zbl 1275.11098) Full Text: DOI
Nguyen, Ngoc Dong Quan The arithmetic of certain quartic curves. (English) Zbl 1256.14021 Monatsh. Math. 168, No. 2, 191-214 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 14G05 11G35 11G30 PDFBibTeX XMLCite \textit{N. D. Q. Nguyen}, Monatsh. Math. 168, No. 2, 191--214 (2012; Zbl 1256.14021) Full Text: DOI
McGown, Kevin J. Norm-Euclidean Galois fields and the generalized Riemann hypothesis. (English. French summary) Zbl 1272.11005 J. Théor. Nombres Bordx. 24, No. 2, 425-445 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11A05 11R04 11R16 11R80 11Y40 PDFBibTeX XMLCite \textit{K. J. McGown}, J. Théor. Nombres Bordx. 24, No. 2, 425--445 (2012; Zbl 1272.11005) Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Wittenberg, Olivier Brauer group and integral points of two families of affine cubic surfaces. (Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines.) (French) Zbl 1295.14020 Am. J. Math. 134, No. 5, 1303-1327 (2012). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14F22 11D25 11G05 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} and \textit{O. Wittenberg}, Am. J. Math. 134, No. 5, 1303--1327 (2012; Zbl 1295.14020) Full Text: DOI arXiv
Mantilla-Soler, Guillermo On number fields with equivalent integral trace forms. (English) Zbl 1263.11099 Int. J. Number Theory 8, No. 7, 1569-1580 (2012). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{G. Mantilla-Soler}, Int. J. Number Theory 8, No. 7, 1569--1580 (2012; Zbl 1263.11099) Full Text: DOI arXiv
Dujella, Andrej; Győry, Kálmán; Pintér, Ákos On power values of pyramidal numbers. I. (English) Zbl 1294.11031 Acta Arith. 155, No. 2, 217-226 (2012). Reviewer: Volker Ziegler (Linz) MSC: 11D25 11G05 11Y50 PDFBibTeX XMLCite \textit{A. Dujella} et al., Acta Arith. 155, No. 2, 217--226 (2012; Zbl 1294.11031) Full Text: DOI
Levesque, Claude; Waldschmidt, Michel Families of Thue-Mahler equations having only trivial solutions. (Familles d’équations de Thue-Mahler n’ayant que des solutions triviales.) (French. English summary) Zbl 1304.11016 Acta Arith. 155, No. 2, 117-138 (2012). MSC: 11D59 11D45 11D61 11D25 11J87 PDFBibTeX XMLCite \textit{C. Levesque} and \textit{M. Waldschmidt}, Acta Arith. 155, No. 2, 117--138 (2012; Zbl 1304.11016) Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter Zero-cycles and rational points on some surfaces over a global function field. (English) Zbl 1256.14023 Acta Arith. 155, No. 1, 63-70 (2012). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G25 11D25 14G05 14C25 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} and \textit{P. Swinnerton-Dyer}, Acta Arith. 155, No. 1, 63--70 (2012; Zbl 1256.14023) Full Text: DOI arXiv
Kisilevsky, Hershy Ranks of elliptic curves in cubic extensions. (English) Zbl 1276.11093 Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 369-383 (2012). MSC: 11G05 11R16 14H52 PDFBibTeX XMLCite \textit{H. Kisilevsky}, in: Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer. 369--383 (2012; Zbl 1276.11093) Full Text: DOI
Siksek, Samir On the number of Mordell-Weil generators for cubic surfaces. (English) Zbl 1253.14023 J. Number Theory 132, No. 11, 2610-2629 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11D25 11E76 11G35 11G25 PDFBibTeX XMLCite \textit{S. Siksek}, J. Number Theory 132, No. 11, 2610--2629 (2012; Zbl 1253.14023) Full Text: DOI arXiv
Lezowski, Pierre Examples of norm-Euclidean ideal classes. (English) Zbl 1290.11159 Int. J. Number Theory 8, No. 5, 1315-1333 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11Y40 11R16 11R29 13F07 PDFBibTeX XMLCite \textit{P. Lezowski}, Int. J. Number Theory 8, No. 5, 1315--1333 (2012; Zbl 1290.11159) Full Text: DOI
Najman, Filip Exceptional elliptic curves over quartic fields. (English) Zbl 1295.11064 Int. J. Number Theory 8, No. 5, 1231-1246 (2012). MSC: 11G05 11G18 11R16 14G25 14H52 PDFBibTeX XMLCite \textit{F. Najman}, Int. J. Number Theory 8, No. 5, 1231--1246 (2012; Zbl 1295.11064) Full Text: DOI arXiv
Zhang, Yong; Cai, Tianxin \(n\)-tuples of positive integers with the same second elementary symmetric function value and the same product. (English) Zbl 1285.11059 J. Number Theory 132, No. 9, 2065-2074 (2012). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11D72 11D25 11G05 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{T. Cai}, J. Number Theory 132, No. 9, 2065--2074 (2012; Zbl 1285.11059) Full Text: DOI
Diaz y Diaz, Francisco; Friedman, Eduardo Colmez cones for fundamental units of totally real cubic fields. (English) Zbl 1257.11097 J. Number Theory 132, No. 8, 1653-1663 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{F. Diaz y Diaz} and \textit{E. Friedman}, J. Number Theory 132, No. 8, 1653--1663 (2012; Zbl 1257.11097) Full Text: DOI
Gaál, István; Szabó, Tímea Power integral bases in parametric families of biquadratic fields. (English) Zbl 1345.11074 JP J. Algebra Number Theory Appl. 24, No. 1, 105-114 (2012). MSC: 11R16 11D59 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{T. Szabó}, JP J. Algebra Number Theory Appl. 24, No. 1, 105--114 (2012; Zbl 1345.11074) Full Text: Link
Elsenhans, Andreas-Stephan; Jahnel, Jörg On the quasi-group of a cubic surface over a finite field. (English) Zbl 1333.11060 J. Number Theory 132, No. 7, 1554-1571 (2012). MSC: 11G25 11D25 11G35 14J26 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, J. Number Theory 132, No. 7, 1554--1571 (2012; Zbl 1333.11060) Full Text: DOI arXiv
Ash, Avner; Gross, Robert Elliptic tales. Curves, counting, and number theory. (English) Zbl 1256.11036 Princeton, NJ: Princeton University Press (ISBN 978-0-691-15119-9/hbk; 978-1-400-84171-4/ebook). xvii, 253 p. (2012). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11-01 11G05 11D25 14H52 14G10 PDFBibTeX XMLCite \textit{A. Ash} and \textit{R. Gross}, Elliptic tales. Curves, counting, and number theory. Princeton, NJ: Princeton University Press (2012; Zbl 1256.11036) Full Text: DOI
de la Bretèche, Régis; Browning, Tim; Peyre, Emmanuel On Manin’s conjecture for a family of Châtelet surfaces. (English) Zbl 1237.11018 Ann. Math. (2) 175, No. 1, 297-343 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D45 11D25 11G35 14G05 14J20 PDFBibTeX XMLCite \textit{R. de la Bretèche} et al., Ann. Math. (2) 175, No. 1, 297--343 (2012; Zbl 1237.11018) Full Text: DOI arXiv
Jabara, Enrico Rational points on some elliptic surfaces. (English) Zbl 1277.14019 Acta Arith. 153, No. 1, 93-108 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11G05 11D25 14J27 PDFBibTeX XMLCite \textit{E. Jabara}, Acta Arith. 153, No. 1, 93--108 (2012; Zbl 1277.14019) Full Text: DOI
McGown, Kevin J. Norm-Euclidean cyclic fields of prime degree. (English) Zbl 1290.11147 Int. J. Number Theory 8, No. 1, 227-254 (2012). MSC: 11R16 11L40 11R32 11R80 11Y40 PDFBibTeX XMLCite \textit{K. J. McGown}, Int. J. Number Theory 8, No. 1, 227--254 (2012; Zbl 1290.11147) Full Text: DOI arXiv
Elsenhans, Andreas-Stephan Rational points on diagonal quartic surfaces. (English) Zbl 1234.14019 Math. Comput. 81, No. 277, 481-492 (2012). Reviewer: Štefan Porubský (Praha) MSC: 14G05 11Y50 14J28 11D25 11G35 14J25 PDFBibTeX XMLCite \textit{A.-S. Elsenhans}, Math. Comput. 81, No. 277, 481--492 (2012; Zbl 1234.14019) Full Text: DOI arXiv
Pong, Wai Yan; Stroeker, Roelof J. Diophantine equations of matching games. II. (English) Zbl 1267.11029 Acta Arith. 151, No. 3, 311-323 (2012). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G05 11Y50 11D09 PDFBibTeX XMLCite \textit{W. Y. Pong} and \textit{R. J. Stroeker}, Acta Arith. 151, No. 3, 311--323 (2012; Zbl 1267.11029) Full Text: DOI Link
Voutier, Paul; Yabuta, Minoru Primitive divisors of certain elliptic divisibility sequences. (English) Zbl 1281.11058 Acta Arith. 151, No. 2, 165-190 (2012). Reviewer: Ahmet Tekcan (Bursa) MSC: 11G05 11D61 11D25 11D45 PDFBibTeX XMLCite \textit{P. Voutier} and \textit{M. Yabuta}, Acta Arith. 151, No. 2, 165--190 (2012; Zbl 1281.11058) Full Text: DOI arXiv
Najman, Filip Torsion of elliptic curves over cubic fields. (English) Zbl 1268.11080 J. Number Theory 132, No. 1, 26-36 (2012). MSC: 11G05 11G18 11R16 14H52 PDFBibTeX XMLCite \textit{F. Najman}, J. Number Theory 132, No. 1, 26--36 (2012; Zbl 1268.11080) Full Text: DOI arXiv
Zhang, Shenxing WITHDRAWN: On non-congruent numbers with 3 modulo 8 prime factors. arXiv:1212.0196 Preprint, arXiv:1212.0196 [math.NT] (2012); retraction notice ibid. MSC: 11G05 11D25 BibTeX Cite \textit{S. Zhang}, ``WITHDRAWN: On non-congruent numbers with 3 modulo 8 prime factors'', Preprint, arXiv:1212.0196 [math.NT] (2012); retraction notice ibid. Full Text: arXiv OA License
Sharipov, Ruslan A note on solutions of the cuboid factor equations. arXiv:1209.0723 Preprint, arXiv:1209.0723 [math.NT] (2012). MSC: 11D25 11D72 12E05 14G05 BibTeX Cite \textit{R. Sharipov}, ``A note on solutions of the cuboid factor equations'', Preprint, arXiv:1209.0723 [math.NT] (2012) Full Text: arXiv OA License
Ramsden, John; Sharipov, Ruslan On two algebraic parametrizations for rational solutions of the cuboid equations. arXiv:1208.2587 Preprint, arXiv:1208.2587 [math.NT] (2012). MSC: 11D25 11D72 12E05 14G05 BibTeX Cite \textit{J. Ramsden} and \textit{R. Sharipov}, ``On two algebraic parametrizations for rational solutions of the cuboid equations'', Preprint, arXiv:1208.2587 [math.NT] (2012) Full Text: arXiv OA License
Sharipov, Ruslan On two elliptic curves associated with perfect cuboids. arXiv:1208.1227 Preprint, arXiv:1208.1227 [math.NT] (2012). MSC: 11D25 11D72 12E05 14E05 14G05 14H52 BibTeX Cite \textit{R. Sharipov}, ``On two elliptic curves associated with perfect cuboids'', Preprint, arXiv:1208.1227 [math.NT] (2012) Full Text: arXiv OA License
Alvarado, Alejandra Arithmetic progressions in the \(y\) coordinates on certain elliptic curves. (English) Zbl 1287.11014 Luca, Florian (ed.) et al., Proceedings of the 14th international conference on Fibonacci numbers and their applications, Morelia, Mexico, July 5–9, 2010. México: Sociedad Matemática Mexicana (ISBN 978-607-02-2543-7/pbk). Aportaciones Matemáticas. Investigación 20, 1-9 (2011). MSC: 11B25 11D25 11G05 PDFBibTeX XMLCite \textit{A. Alvarado}, in: Proceedings of the 14th international conference on Fibonacci numbers and their applications, Morelia, Mexico, July 5--9, 2010. México: Sociedad Matemática Mexicana. 1--9 (2011; Zbl 1287.11014)
Rassias, John Michael; Saadati, Reza; Sadeghi, Ghadir; Vahidi, J. On nonlinear stability in various random normed spaces. (English) Zbl 1272.39026 J. Inequal. Appl. 2011, Paper No. 62, 17 p. (2011). MSC: 39B82 39B52 46S50 46S10 PDFBibTeX XMLCite \textit{J. M. Rassias} et al., J. Inequal. Appl. 2011, Paper No. 62, 17 p. (2011; Zbl 1272.39026) Full Text: DOI
Hürlimann, Werner A congruent twin number problem. (English) Zbl 1337.11038 Pioneer J. Algebra Number Theory Appl. 1, No. 1, 53-66 (2011). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{W. Hürlimann}, Pioneer J. Algebra Number Theory Appl. 1, No. 1, 53--66 (2011; Zbl 1337.11038)
Ebadian, Ali; Ghobadipour, Norouz; Bavand Savadkouhi, Meysam; Eshaghi Gordji, Madjid Stability of a mixed type cubic and quartic functional equation in non-Archimedean \(\ell\)-fuzzy normed spaces. (English) Zbl 1262.39041 Thai J. Math. 9, No. 2, 249-265 (2011). MSC: 39B82 39B52 46S10 46S40 PDFBibTeX XMLCite \textit{A. Ebadian} et al., Thai J. Math. 9, No. 2, 249--265 (2011; Zbl 1262.39041) Full Text: Link
Huber-Klawitter, Annette What we (don’t) know about equations of degree three – elliptic curves and the conjecture of Birch and Swinnerton-Dyer. (Was wir alles für Gleichungen von Grad drei (nicht) wissen – elliptische Kurven und die Vermutung von Birch und Swinnerton-Dyer.) (German) Zbl 1260.11042 Wendland, Katrin (ed.) et al., Facettenreiche Mathematik. Einblicke in die moderne mathematische Forschung für alle, die mehr von Mathematik verstehen wollen. Wiesbaden: Vieweg+Teubner (ISBN 978-3-8348-1414-2/pbk; 978-3-8348-8173-1). Mathematik Populär, 215-236 (2011). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11G05 11G40 11D25 00A35 PDFBibTeX XMLCite \textit{A. Huber-Klawitter}, in: Facettenreiche Mathematik. Einblicke in die moderne mathematische Forschung für alle, die mehr von Mathematik verstehen wollen. Wiesbaden: Vieweg+Teubner. 215--236 (2011; Zbl 1260.11042)
Elia, Michele On the equation \(x^3 + y^3 + z^3 = 0\) in the maximal orders of quadratic fields. (English) Zbl 1268.11043 Int. Math. Forum 6, No. 65-68, 3275-3284 (2011). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R11 11G05 PDFBibTeX XMLCite \textit{M. Elia}, Int. Math. Forum 6, No. 65--68, 3275--3284 (2011; Zbl 1268.11043) Full Text: Link
Pohst, Michael E. On computing non-Galois cubic global function fields of prescribed discriminant in characteristic \(>3\). (English) Zbl 1249.11112 Publ. Math. Debr. 79, No. 3-4, 611-621 (2011). MSC: 11Y40 11R58 11R16 PDFBibTeX XMLCite \textit{M. E. Pohst}, Publ. Math. Debr. 79, No. 3--4, 611--621 (2011; Zbl 1249.11112) Full Text: DOI
Fujita, Yasutsugu; Terai, Nobuhiro Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\). (English) Zbl 1253.11043 Tokyo J. Math. 34, No. 2, 367-381 (2011). Reviewer: Maciej Ulas (Kraków) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{Y. Fujita} and \textit{N. Terai}, Tokyo J. Math. 34, No. 2, 367--381 (2011; Zbl 1253.11043) Full Text: DOI
Park, Choonkil; Lee, Jung Rye Approximation of an AQCQ-functional equation and its applications. (English) Zbl 1239.39021 Aust. J. Math. Anal. Appl. 8, No. 1, Article No. 14, 39 p. (2011). MSC: 39B82 39B52 46S10 46S50 PDFBibTeX XMLCite \textit{C. Park} and \textit{J. R. Lee}, Aust. J. Math. Anal. Appl. 8, No. 1, Article No. 14, 39 p. (2011; Zbl 1239.39021) Full Text: Link
Shmakov, Sergei L. A universal method of solving quartic equations. (English) Zbl 1247.12004 Int. J. Pure Appl. Math. 71, No. 2, 251-259 (2011). Reviewer: Mowaffaq Hajja (Irbid) MSC: 12E12 12-08 65H04 PDFBibTeX XMLCite \textit{S. L. Shmakov}, Int. J. Pure Appl. Math. 71, No. 2, 251--259 (2011; Zbl 1247.12004) Full Text: Link
Ziegler, Volker On unit power integral bases of \(\mathbb Z[\root 4 \of {m}]\). (English) Zbl 1265.11098 Period. Math. Hung. 63, No. 1, 101-112 (2011). Reviewer: Péter Olajos (Miskolc) MSC: 11R16 11R04 11D25 11R27 11D59 PDFBibTeX XMLCite \textit{V. Ziegler}, Period. Math. Hung. 63, No. 1, 101--112 (2011; Zbl 1265.11098) Full Text: DOI
Klaška, Jiří; Skula, Ladislav Mordell’s equation and the Tribonacci family. (English) Zbl 1261.11034 Fibonacci Q. 49, No. 4, 310-319 (2011). Reviewer: Szabolcs Tengely (Debrecen) MSC: 11D25 11B39 11T06 PDFBibTeX XMLCite \textit{J. Klaška} and \textit{L. Skula}, Fibonacci Q. 49, No. 4, 310--319 (2011; Zbl 1261.11034) Full Text: Link
Lavallee, Melisa J.; Spearman, Blair K.; Williams, Kenneth S. Lifting monogenic cubic fields to monogenic sextic fields. (English) Zbl 1237.11045 Kodai Math. J. 34, No. 3, 410-425 (2011). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 11R21 11R32 PDFBibTeX XMLCite \textit{M. J. Lavallee} et al., Kodai Math. J. 34, No. 3, 410--425 (2011; Zbl 1237.11045) Full Text: DOI Link
Nguyen, Ngoc Dong Quan On the Hasse principle for certain quartic hypersurfaces. (English) Zbl 1232.14012 Proc. Am. Math. Soc. 139, No. 12, 4293-4305 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11D25 11G30 11G35 PDFBibTeX XMLCite \textit{N. D. Q. Nguyen}, Proc. Am. Math. Soc. 139, No. 12, 4293--4305 (2011; Zbl 1232.14012) Full Text: DOI
Reznick, Bruce; Rouse, Jeremy On the sums of two cubes. (English) Zbl 1269.11032 Int. J. Number Theory 7, No. 7, 1863-1882 (2011). Reviewer: Filip Najman (Zagreb) MSC: 11D25 11G05 14J27 PDFBibTeX XMLCite \textit{B. Reznick} and \textit{J. Rouse}, Int. J. Number Theory 7, No. 7, 1863--1882 (2011; Zbl 1269.11032) Full Text: DOI arXiv
Kochetkov, Yu. Yu. On the geometry of Galois cubic fields. (English. Russian original) Zbl 1273.11154 Math. Notes 89, No. 1, 150-155 (2011); translation from Mat. Zametki 89, No. 1, 139-144 (2011). Reviewer: Mowaffaq Hajja (Irbid) MSC: 11R16 12F10 PDFBibTeX XMLCite \textit{Yu. Yu. Kochetkov}, Math. Notes 89, No. 1, 150--155 (2011; Zbl 1273.11154); translation from Mat. Zametki 89, No. 1, 139--144 (2011) Full Text: DOI
Lee, Paul D.; Spearman, Blair K. A Diophantine system and a problem on cubic fields. (English) Zbl 1235.11029 Int. Math. Forum 6, No. 1-4, 141-146 (2011). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11R27 11R16 PDFBibTeX XMLCite \textit{P. D. Lee} and \textit{B. K. Spearman}, Int. Math. Forum 6, No. 1--4, 141--146 (2011; Zbl 1235.11029) Full Text: Link
Heath-Brown, D. R. Artin’s conjecture on zeros of \(p\)-adic forms. (English) Zbl 1243.11051 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 249-257 (2011). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11D88 11D72 11E08 11E76 11E95 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 249--257 (2011; Zbl 1243.11051) Full Text: arXiv Link
Jung, Hwanyup; Yue, Qin 8-ranks of class groups of imaginary quadratic number fields and their densities. (English) Zbl 1250.11097 J. Korean Math. Soc. 48, No. 6, 1249-1268 (2011). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R29 11R11 11R45 PDFBibTeX XMLCite \textit{H. Jung} and \textit{Q. Yue}, J. Korean Math. Soc. 48, No. 6, 1249--1268 (2011; Zbl 1250.11097) Full Text: DOI
Jeon, Daeyeol; Kim, Chang Heon; Lee, Yoonjin Families of elliptic curves over quartic number fields with prescribed torsion subgroups. (English) Zbl 1267.11072 Math. Comput. 80, No. 276, 2395-2410 (2011). MSC: 11G05 11G18 PDFBibTeX XMLCite \textit{D. Jeon} et al., Math. Comput. 80, No. 276, 2395--2410 (2011; Zbl 1267.11072) Full Text: DOI
Jahnel, Jörg More cubic surfaces violating the Hasse principle. (English. French summary) Zbl 1233.11033 J. Théor. Nombres Bordx. 23, No. 2, 471-477 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D25 11D57 11E76 11G35 14G05 14J20 PDFBibTeX XMLCite \textit{J. Jahnel}, J. Théor. Nombres Bordx. 23, No. 2, 471--477 (2011; Zbl 1233.11033) Full Text: DOI arXiv EuDML
Ritzenthaler, Christophe Optimal curves of genus 1, 2 and 3. (English) Zbl 1283.11093 Actes de la conférence “Théorie des nombres et applications”. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2011, 99-117 (2011). MSC: 11G20 11G10 14K25 14H45 PDFBibTeX XMLCite \textit{C. Ritzenthaler}, Publ. Math. Besançon, Algèbre Théor. Nombres 2011, 99--117 (2011; Zbl 1283.11093) Full Text: DOI arXiv
Elsenhans, Andreas-Stephan; Jahnel, Jörg Cubic surfaces with a Galois invariant pair of Steiner trihedra. (English) Zbl 1233.11073 Int. J. Number Theory 7, No. 4, 947-970 (2011). Reviewer: Remke Kloosterman (Berlin) MSC: 11G35 11D25 14G25 14J25 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, Int. J. Number Theory 7, No. 4, 947--970 (2011; Zbl 1233.11073) Full Text: DOI arXiv
Louboutin, Stéphane R. Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields. (English) Zbl 1282.11150 Math. Comput. 80, No. 275, 1813-1822 (2011). Reviewer: Lejla Smajlovic (Sarajevo) MSC: 11R42 11R16 11R29 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Math. Comput. 80, No. 275, 1813--1822 (2011; Zbl 1282.11150) Full Text: DOI
Draziotis, Konstantinos A. On the number of integer points on the elliptic curve \(y^2 = x^3 + Ax\). (English) Zbl 1238.11037 Int. J. Number Theory 7, No. 3, 611-621 (2011). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11G05 11D45 PDFBibTeX XMLCite \textit{K. A. Draziotis}, Int. J. Number Theory 7, No. 3, 611--621 (2011; Zbl 1238.11037) Full Text: DOI
Morton, Patrick The cubic Fermat equation and complex multiplication on the Deuring normal form. (English) Zbl 1277.11029 Ramanujan J. 25, No. 2, 247-275 (2011). MSC: 11D25 11G07 11R29 PDFBibTeX XMLCite \textit{P. Morton}, Ramanujan J. 25, No. 2, 247--275 (2011; Zbl 1277.11029) Full Text: DOI
Kagawa, Takaaki The Diophantine equation \(X^3=u+v\) over real quadratic fields. (English) Zbl 1228.11039 Bull. Pol. Acad. Sci., Math. 59, No. 1, 1-9 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{T. Kagawa}, Bull. Pol. Acad. Sci., Math. 59, No. 1, 1--9 (2011; Zbl 1228.11039) Full Text: DOI EuDML
Ieronymou, Evis; Skorobogatov, Alexei N.; Zarhin, Yuri G. [Swinnerton-Dyer, H. P. F.] On the Brauer group of diagonal quartic surfaces. With an appendix by Peter Swinnerton-Dyer. (English) Zbl 1239.14013 J. Lond. Math. Soc., II. Ser. 83, No. 3, 659-672 (2011). Reviewer: Martin Bright (Beirut) MSC: 14F22 14G25 14J28 11D25 PDFBibTeX XMLCite \textit{E. Ieronymou} et al., J. Lond. Math. Soc., II. Ser. 83, No. 3, 659--672 (2011; Zbl 1239.14013) Full Text: DOI arXiv
Fuchs, Clemens; von Känel, Rafael; Wüstholz, Gisbert An effective Shafarevich theorem for elliptic curves. (English) Zbl 1231.11061 Acta Arith. 148, No. 2, 189-203 (2011). Reviewer: Filip Najman (Zagreb) MSC: 11G05 11D25 14D20 14G40 PDFBibTeX XMLCite \textit{C. Fuchs} et al., Acta Arith. 148, No. 2, 189--203 (2011; Zbl 1231.11061) Full Text: DOI
Bae, Sunghan; Yue, Qin Hilbert genus fields of real biquadratic fields. (English) Zbl 1231.11126 Ramanujan J. 24, No. 2, 161-181 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11R16 11R37 11R58 PDFBibTeX XMLCite \textit{S. Bae} and \textit{Q. Yue}, Ramanujan J. 24, No. 2, 161--181 (2011; Zbl 1231.11126) Full Text: DOI
Bright, Martin The Brauer-Manin obstruction on a general diagonal quartic surface. (English) Zbl 1225.11089 Acta Arith. 147, No. 3, 291-302 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11G35 14G25 11D25 PDFBibTeX XMLCite \textit{M. Bright}, Acta Arith. 147, No. 3, 291--302 (2011; Zbl 1225.11089) Full Text: DOI arXiv
Louboutin, Stéphane R. Some quartic number fields containing an imaginary quadratic subfield. (English) Zbl 1250.11092 Colloq. Math. 122, No. 1, 139-148 (2011). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R27 11R29 11R09 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Colloq. Math. 122, No. 1, 139--148 (2011; Zbl 1250.11092) Full Text: DOI Link
Leriche, Amandine Pólya fields and Pólya numbers. (English) Zbl 1474.11184 Actes Rencontres C.I.R.M. 2, No. 2, 21-26 (2010). MSC: 11R04 13F20 11R16 11R37 PDFBibTeX XMLCite \textit{A. Leriche}, Actes Rencontres C.I.R.M. 2, No. 2, 21--26 (2010; Zbl 1474.11184) Full Text: DOI
Haramaty, Elad; Shpilka, Amir On the structure of cubic and quartic polynomials. (English) Zbl 1293.11104 Proceedings of the 42nd annual ACM symposium on theory of computing, STOC ’10. Cambridge, MA, USA, June 5–8, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-817-9). 331-340 (2010). MSC: 11T06 12Y05 PDFBibTeX XMLCite \textit{E. Haramaty} and \textit{A. Shpilka}, in: Proceedings of the 42nd annual ACM symposium on theory of computing, STOC '10. Cambridge, MA, USA, June 5--8, 2010. New York, NY: Association for Computing Machinery (ACM). 331--340 (2010; Zbl 1293.11104) Full Text: DOI arXiv
Malle, Gunter On the distribution of class groups of number fields. (English) Zbl 1297.11139 Exp. Math. 19, No. 4, 465-474 (2010). Reviewer: Roland Quême (Brax) MSC: 11R29 11R16 11R21 11R58 11Y40 PDFBibTeX XMLCite \textit{G. Malle}, Exp. Math. 19, No. 4, 465--474 (2010; Zbl 1297.11139) Full Text: DOI arXiv Euclid
Elsenhans, Andreas-Stephan; Jahnel, Jörg On the Brauer-Manin obstruction for cubic surfaces. (English) Zbl 1245.14020 J. Comb. Number Theory 2, No. 2, 107-128 (2010). MSC: 14F22 11D25 11G35 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, J. Comb. Number Theory 2, No. 2, 107--128 (2010; Zbl 1245.14020) Full Text: arXiv
Eshaghi Gordji, M.; Khodaei, H.; Khodabakhsh, R. General quartic-cubic-quadratic functional equation in non-Archimedean normed spaces. (English) Zbl 1249.39030 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 72, No. 3, 69-84 (2010). MSC: 39B82 39B52 46S10 PDFBibTeX XMLCite \textit{M. Eshaghi Gordji} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 72, No. 3, 69--84 (2010; Zbl 1249.39030)
Liu, Zhiwei; Tang, Ganwen; Gu, Yuan The integral points on twin primes elliptic curve \(E_-\). (English) Zbl 1240.11054 J. Math., Wuhan Univ. 30, No. 6, 991-1000 (2010). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{Z. Liu} et al., J. Math., Wuhan Univ. 30, No. 6, 991--1000 (2010; Zbl 1240.11054)
Ulas, Maciej; Togbé, Alain On the Diophantine equation \(z^2=f(x)^2 \pm f(y)^2\). (English) Zbl 1218.11034 Publ. Math. Debr. 76, No. 1-2, 183-201 (2010). Reviewer: Péter Olajos (Miskolc) MSC: 11D25 11D41 11G05 PDFBibTeX XMLCite \textit{M. Ulas} and \textit{A. Togbé}, Publ. Math. Debr. 76, No. 1--2, 183--201 (2010; Zbl 1218.11034)
Zhou, Haiyan On the odd part of tame kernels of biquadratic number fields. (English) Zbl 1284.11153 Acta Arith. 144, No. 3, 275-286 (2010). Reviewer: Kevin Hutchinson (Dublin) MSC: 11R70 11R16 19F15 PDFBibTeX XMLCite \textit{H. Zhou}, Acta Arith. 144, No. 3, 275--286 (2010; Zbl 1284.11153) Full Text: DOI
Gaál, István; Szabó, Tímea A note on the minimal indices of pure cubic fields. (English) Zbl 1220.11135 JP J. Algebra Number Theory Appl. 19, No. 2, 129-139 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11R16 11Y40 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{T. Szabó}, JP J. Algebra Number Theory Appl. 19, No. 2, 129--139 (2010; Zbl 1220.11135) Full Text: Link
Li, Yuanyuan; Qin, Hourong On the 3-rank of tame kernels of certain pure cubic number fields. (English) Zbl 1266.11120 Sci. China, Math. 53, No. 9, 2381-2394 (2010). MSC: 11R70 11R16 19F15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{H. Qin}, Sci. China, Math. 53, No. 9, 2381--2394 (2010; Zbl 1266.11120) Full Text: DOI
Heath-Brown, Roger; Testa, Damiano [Heath-Brown, D. R.] Counting rational points on cubic curves. (English) Zbl 1229.11052 Sci. China, Math. 53, No. 9, 2259-2268 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11D25 11D45 11G05 PDFBibTeX XMLCite \textit{R. Heath-Brown} and \textit{D. Testa}, Sci. China, Math. 53, No. 9, 2259--2268 (2010; Zbl 1229.11052) Full Text: DOI arXiv
Alvarado, Alejandra Arithmetic progressions on quartic elliptic curves. (English) Zbl 1224.11011 Ann. Math. Inform. 37, 3-6 (2010). MSC: 11B25 11G05 11D25 PDFBibTeX XMLCite \textit{A. Alvarado}, Ann. Math. Inform. 37, 3--6 (2010; Zbl 1224.11011) Full Text: Link
Saadati, Reza; Cho, Yeol J.; Vahidi, Javad The stability of the quartic functional equation in various spaces. (English) Zbl 1205.39029 Comput. Math. Appl. 60, No. 7, 1994-2002 (2010). MSC: 39B82 28E99 39B52 46S10 PDFBibTeX XMLCite \textit{R. Saadati} et al., Comput. Math. Appl. 60, No. 7, 1994--2002 (2010; Zbl 1205.39029) Full Text: DOI
Eshaghi Gordji, M.; Khodabakhsh, R.; Jung, S.-M.; Khodaei, H. AQCQ-functional equation in non-Archimedean normed spaces. (English) Zbl 1207.39041 Abstr. Appl. Anal. 2010, Article ID 741942, 22 p. (2010). MSC: 39B82 39B52 46S10 PDFBibTeX XMLCite \textit{M. Eshaghi Gordji} et al., Abstr. Appl. Anal. 2010, Article ID 741942, 22 p. (2010; Zbl 1207.39041) Full Text: DOI EuDML
Chen, Houyan The non-trivial odd integral points on the elliptic curve \(y^2=x(x-2^m)(x+q-2^m)\). (Chinese. English summary) Zbl 1224.11064 J. Huazhong Norm. Univ., Nat. Sci. 44, No. 1, 23-24, 28 (2010). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{H. Chen}, J. Huazhong Norm. Univ., Nat. Sci. 44, No. 1, 23--24, 28 (2010; Zbl 1224.11064)
Yuan, Pingzhi; Zhang, Zhongfeng On the Diophantine equation \(aX^4-bY^2=1\). (Chinese. English summary) Zbl 1224.11054 Acta Math. Sin., Chin. Ser. 53, No. 3, 443-454 (2010). MSC: 11D25 11J86 PDFBibTeX XMLCite \textit{P. Yuan} and \textit{Z. Zhang}, Acta Math. Sin., Chin. Ser. 53, No. 3, 443--454 (2010; Zbl 1224.11054)
Wu, Huaming Points on the elliptic curve \(y^2=x^3+27x-62\). (Chinese. English summary) Zbl 1224.11053 Acta Math. Sin., Chin. Ser. 53, No. 1, 205-208 (2010). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{H. Wu}, Acta Math. Sin., Chin. Ser. 53, No. 1, 205--208 (2010; Zbl 1224.11053)
Belabas, Karim; Fouvry, Étienne Cubic discriminants and arithmetic progressions. (Discriminants cubiques et progressions arithmétiques.) (English) Zbl 1225.11139 Int. J. Number Theory 6, No. 7, 1491-1529 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11R29 11R16 11R45 PDFBibTeX XMLCite \textit{K. Belabas} and \textit{É. Fouvry}, Int. J. Number Theory 6, No. 7, 1491--1529 (2010; Zbl 1225.11139) Full Text: DOI
Ulas, Maciej On certain Diophantine systems with infinitely many parametric solutions and applications. (English) Zbl 1217.11033 Acta Arith. 145, No. 3, 305-313 (2010). Reviewer: Alain Kraus (Paris) MSC: 11D25 11D41 11G05 11G30 PDFBibTeX XMLCite \textit{M. Ulas}, Acta Arith. 145, No. 3, 305--313 (2010; Zbl 1217.11033) Full Text: DOI
Park, Choonkil; Gordji, Madjid Eshaghi; Najati, Abbas Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archimedean Banach spaces. (English) Zbl 1213.46074 J. Nonlinear Sci. Appl. 3, No. 4, 272-281 (2010). MSC: 46S10 39B52 39B82 PDFBibTeX XMLCite \textit{C. Park} et al., J. Nonlinear Sci. Appl. 3, No. 4, 272--281 (2010; Zbl 1213.46074) Full Text: DOI EuDML EMIS
Naskrȩcki, Bartosz Infinite family of elliptic curves of rank at least 4. (English) Zbl 1258.11063 Involve 3, No. 3, 297-316 (2010). Reviewer: Jordi Guárdia (Vilanova i la Geltrú) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{B. Naskrȩcki}, Involve 3, No. 3, 297--316 (2010; Zbl 1258.11063) Full Text: DOI arXiv
Mantilla-Soler, Guillermo Integral trace forms associated to cubic extensions. (English) Zbl 1201.11100 Algebra Number Theory 4, No. 6, 681-699 (2010). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R16 11R27 PDFBibTeX XMLCite \textit{G. Mantilla-Soler}, Algebra Number Theory 4, No. 6, 681--699 (2010; Zbl 1201.11100) Full Text: DOI arXiv
Johnstone, Jennifer Ann; Spearman, Blair Kenneth On the distribution of congruent numbers. (English) Zbl 1228.11083 Proc. Japan Acad., Ser. A 86, No. 5, 89-90 (2010). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{J. A. Johnstone} and \textit{B. K. Spearman}, Proc. Japan Acad., Ser. A 86, No. 5, 89--90 (2010; Zbl 1228.11083) Full Text: DOI
Meagher, Stephen; Top, Jaap Twists of genus three curves over finite fields. (English) Zbl 1254.11064 Finite Fields Appl. 16, No. 5, 347-368 (2010). MSC: 11G20 14G05 14G15 PDFBibTeX XMLCite \textit{S. Meagher} and \textit{J. Top}, Finite Fields Appl. 16, No. 5, 347--368 (2010; Zbl 1254.11064) Full Text: DOI
Ieronymou, Evis Diagonal quartic surfaces and transcendental elements of the Brauer group. (English) Zbl 1263.14023 J. Inst. Math. Jussieu 9, No. 4, 769-798 (2010). MSC: 14F22 11G35 14G25 PDFBibTeX XMLCite \textit{E. Ieronymou}, J. Inst. Math. Jussieu 9, No. 4, 769--798 (2010; Zbl 1263.14023) Full Text: DOI arXiv
Sitar, Scott Elliptic curves and families of congruent and \(\theta\)-congruent numbers. (English) Zbl 1271.11034 C. R. Math. Acad. Sci., Soc. R. Can. 32, No. 2, 33-39 (2010). Reviewer: Filip Najman (Zagreb) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{S. Sitar}, C. R. Math. Acad. Sci., Soc. R. Can. 32, No. 2, 33--39 (2010; Zbl 1271.11034)
Ulas, Maciej Variations on higher twists of pairs of elliptic curves. (English) Zbl 1201.11060 Int. J. Number Theory 6, No. 5, 1183-1189 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{M. Ulas}, Int. J. Number Theory 6, No. 5, 1183--1189 (2010; Zbl 1201.11060) Full Text: DOI
Najman, Filip The Diophantine equation \(x^4 \pm y^4 = iz^2\) in Gaussian integers. (English) Zbl 1250.11031 Am. Math. Mon. 117, No. 7, 637-641 (2010). Reviewer: Mihai Cipu (Bucureşti) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{F. Najman}, Am. Math. Mon. 117, No. 7, 637--641 (2010; Zbl 1250.11031) Full Text: DOI arXiv Link
Landquist, E.; Rozenhart, P.; Scheidler, R.; Webster, J.; Wu, Q. An explicit treatment of cubic function fields with applications. (English) Zbl 1213.14053 Can. J. Math. 62, No. 4, 787-807 (2010). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 14H05 11R58 14H45 11G20 11G30 11R16 11R29 14G50 PDFBibTeX XMLCite \textit{E. Landquist} et al., Can. J. Math. 62, No. 4, 787--807 (2010; Zbl 1213.14053) Full Text: DOI