Cojocaru, Alina Carmen; Jones, Nathan Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring. (English. French summary) Zbl 07359130 J. Théor. Nombres Bordx. 33, No. 1, 95-106 (2021). MSC: 11G05 11G09 11F80 PDF BibTeX XML Cite \textit{A. C. Cojocaru} and \textit{N. Jones}, J. Théor. Nombres Bordx. 33, No. 1, 95--106 (2021; Zbl 07359130) Full Text: DOI
Pomerance, Carl; Schaefer, Edward F. Elliptic curves with Galois-stable cyclic subgroups of order 4. (English) Zbl 07357690 Res. Number Theory 7, No. 2, Paper No. 35, 19 p. (2021). MSC: 11G05 14H52 PDF BibTeX XML Cite \textit{C. Pomerance} and \textit{E. F. Schaefer}, Res. Number Theory 7, No. 2, Paper No. 35, 19 p. (2021; Zbl 07357690) Full Text: DOI
Gužvić, Tomislav Torsion of elliptic curves with rational \(j\)-invariant defined over number fields of prime degree. (English) Zbl 07357555 Proc. Am. Math. Soc. 149, No. 8, 3261-3275 (2021). MSC: 14H52 11G05 PDF BibTeX XML Cite \textit{T. Gužvić}, Proc. Am. Math. Soc. 149, No. 8, 3261--3275 (2021; Zbl 07357555) Full Text: DOI
Lei, Antonio; Sujatha, R. On fine Selmer groups and the greatest common divisor of signed and chromatic \(p\)-adic \(L\)-functions. (English) Zbl 07357553 Proc. Am. Math. Soc. 149, No. 8, 3235-3243 (2021). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{A. Lei} and \textit{R. Sujatha}, Proc. Am. Math. Soc. 149, No. 8, 3235--3243 (2021; Zbl 07357553) Full Text: DOI
Dèbes, Pierre; König, Joachim; Legrand, François; Neftin, Danny On parametric and generic polynomials with one parameter. (English) Zbl 07357186 J. Pure Appl. Algebra 225, No. 10, Article ID 106717, 18 p. (2021). MSC: 12F12 11R58 11G05 12E30 PDF BibTeX XML Cite \textit{P. Dèbes} et al., J. Pure Appl. Algebra 225, No. 10, Article ID 106717, 18 p. (2021; Zbl 07357186) Full Text: DOI
Hur, Injo; Jo, Jang Hyun Hyperbolic congruent numbers. (English) Zbl 07357113 Quaest. Math. 44, No. 4, 469-472 (2021). MSC: 11D09 11D45 11G05 PDF BibTeX XML Cite \textit{I. Hur} and \textit{J. H. Jo}, Quaest. Math. 44, No. 4, 469--472 (2021; Zbl 07357113) Full Text: DOI
Akbary, Amir; Wong, Peng-Jie On the moments of torsion points modulo primes and their applications. (English) Zbl 07357020 Int. J. Number Theory 17, No. 4, 1029-1045 (2021). MSC: 11N45 11G05 11N13 11R18 PDF BibTeX XML Cite \textit{A. Akbary} and \textit{P.-J. Wong}, Int. J. Number Theory 17, No. 4, 1029--1045 (2021; Zbl 07357020) Full Text: DOI
Bhargava, Manjul; Cremona, John; Fisher, Tom The proportion of genus one curves over \(\mathbb{Q}\) defined by a binary quartic that everywhere locally have a point. (English) Zbl 07357012 Int. J. Number Theory 17, No. 4, 903-923 (2021). MSC: 11G07 11G05 PDF BibTeX XML Cite \textit{M. Bhargava} et al., Int. J. Number Theory 17, No. 4, 903--923 (2021; Zbl 07357012) Full Text: DOI
Lee, Wan; Yu, Myungjun On elliptic curves with complex multiplication and root numbers. (English) Zbl 07357008 Int. J. Number Theory 17, No. 4, 827-842 (2021). MSC: 11G05 11G07 PDF BibTeX XML Cite \textit{W. Lee} and \textit{M. Yu}, Int. J. Number Theory 17, No. 4, 827--842 (2021; Zbl 07357008) Full Text: DOI
Le Fourn, Samuel; Lemos, Pedro Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan. (English) Zbl 07351564 Algebra Number Theory 15, No. 3, 747-771 (2021). MSC: 11G05 11G18 PDF BibTeX XML Cite \textit{S. Le Fourn} and \textit{P. Lemos}, Algebra Number Theory 15, No. 3, 747--771 (2021; Zbl 07351564) Full Text: DOI
Landesman, Aaron The geometric average size of Selmer groups over function fields. (English) Zbl 07351561 Algebra Number Theory 15, No. 3, 673-709 (2021). MSC: 11G05 PDF BibTeX XML Cite \textit{A. Landesman}, Algebra Number Theory 15, No. 3, 673--709 (2021; Zbl 07351561) Full Text: DOI
Bhargava, Manjul; Klagsbrun, Zev; Lemke Oliver, Robert J.; Shnidman, Ari Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families. (English) Zbl 07351559 Algebra Number Theory 15, No. 3, 627-655 (2021). MSC: 11G05 11G10 PDF BibTeX XML Cite \textit{M. Bhargava} et al., Algebra Number Theory 15, No. 3, 627--655 (2021; Zbl 07351559) Full Text: DOI
Verzobio, Matteo Primitive divisors of elliptic divisibility sequences for elliptic curves with \(j=1728\). (English) Zbl 07349952 Acta Arith. 198, No. 2, 129-168 (2021). MSC: 11G05 11B39 11A41 11D59 11G07 11G50 PDF BibTeX XML Cite \textit{M. Verzobio}, Acta Arith. 198, No. 2, 129--168 (2021; Zbl 07349952) Full Text: DOI
Kühne, Lars Intersection of class fields. (English) Zbl 07349951 Acta Arith. 198, No. 2, 109-127 (2021). MSC: 11G18 11R37 11G05 14G35 PDF BibTeX XML Cite \textit{L. Kühne}, Acta Arith. 198, No. 2, 109--127 (2021; Zbl 07349951) Full Text: DOI
Bekker, Boris M.; Zarhin, Yuri G. Versal families of elliptic curves with rational 3-torsion. (English. Russian original) Zbl 07349629 Sb. Math. 212, No. 3, 274-287 (2021); translation from Mat. Sb. 212, No. 3, 6-19 (2021). MSC: 11G05 14H52 PDF BibTeX XML Cite \textit{B. M. Bekker} and \textit{Y. G. Zarhin}, Sb. Math. 212, No. 3, 274--287 (2021; Zbl 07349629); translation from Mat. Sb. 212, No. 3, 6--19 (2021) Full Text: DOI
Samart, Detchat A functional identity for Mahler measures of non-tempered polynomials. (English) Zbl 07347157 Integral Transforms Spec. Funct. 32, No. 1, 78-89 (2021). MSC: 11R06 11F67 11G05 33C75 33E05 PDF BibTeX XML Cite \textit{D. Samart}, Integral Transforms Spec. Funct. 32, No. 1, 78--89 (2021; Zbl 07347157) Full Text: DOI
Lalín, Matilde; Wu, Gang The Mahler measure of a genus 3 family. (English) Zbl 07344936 Ramanujan J. 55, No. 1, 309-326 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11G05 11F66 19F27 33E05 PDF BibTeX XML Cite \textit{M. Lalín} and \textit{G. Wu}, Ramanujan J. 55, No. 1, 309--326 (2021; Zbl 07344936) Full Text: DOI
Esparza-Lozano, Jose A.; Pasten, Hector A conjecture of Watkins for quadratic twists. (English) Zbl 07337054 Proc. Am. Math. Soc. 149, No. 6, 2381-2385 (2021). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11F11 11G18 PDF BibTeX XML Cite \textit{J. A. Esparza-Lozano} and \textit{H. Pasten}, Proc. Am. Math. Soc. 149, No. 6, 2381--2385 (2021; Zbl 07337054) Full Text: DOI
van Hoeij, Mark; Smith, Hanson A divisor formula and a bound on the \(\mathbb{Q} \)-gonality of the modular curve \(X_1(N)\). (English) Zbl 07336788 Res. Number Theory 7, No. 2, Paper No. 22, 21 p. (2021). MSC: 11G16 14H52 11G05 14G35 11F03 PDF BibTeX XML Cite \textit{M. van Hoeij} and \textit{H. Smith}, Res. Number Theory 7, No. 2, Paper No. 22, 21 p. (2021; Zbl 07336788) Full Text: DOI
Choi, Junhwa; Li, Yongxiong Quadratic twists of \(X_0(14)\). (English) Zbl 07334484 J. Number Theory 224, 142-164 (2021). MSC: 11G40 11G05 PDF BibTeX XML Cite \textit{J. Choi} and \textit{Y. Li}, J. Number Theory 224, 142--164 (2021; Zbl 07334484) Full Text: DOI
Giacomini, Michele Cyclotomic torsion points in elliptic schemes. (English) Zbl 07333831 Manuscr. Math. 165, No. 1-2, 89-104 (2021). MSC: 11G05 11U09 PDF BibTeX XML Cite \textit{M. Giacomini}, Manuscr. Math. 165, No. 1--2, 89--104 (2021; Zbl 07333831) Full Text: DOI
Bruin, Peter; Perucca, Antonella Reductions of points on algebraic groups. II. (English) Zbl 07333639 Glasg. Math. J. 63, No. 2, 484-502 (2021). MSC: 11F80 14L10 11G05 11G10 PDF BibTeX XML Cite \textit{P. Bruin} and \textit{A. Perucca}, Glasg. Math. J. 63, No. 2, 484--502 (2021; Zbl 07333639) Full Text: DOI
Daniels, Harris B. Corrigendum to: “Torsion subgroups of rational elliptic curves over the compositum of all \(D_4\) extensions of the rational numbers”. (English) Zbl 07332047 J. Algebra 575, 274-284 (2021). MSC: 11G05 11R21 12F10 14H52 PDF BibTeX XML Cite \textit{H. B. Daniels}, J. Algebra 575, 274--284 (2021; Zbl 07332047) Full Text: DOI
Delbourgo, Daniel; Gilmore, Hamish Computing \(\mathcal L\)-invariants for the symmetric square of an elliptic curve. (English) Zbl 07331271 Exp. Math. 30, No. 1, 32-55 (2021). MSC: 11R23 11E95 11G40 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{H. Gilmore}, Exp. Math. 30, No. 1, 32--55 (2021; Zbl 07331271) Full Text: DOI
Dokchitser, Vladimir; Evans, Robert; Wiersema, Hanneke On a BSD-type formula for \(L\)-values of Artin twists of elliptic curves. (English) Zbl 07330975 J. Reine Angew. Math. 773, 199-230 (2021). MSC: 11G40 11G05 PDF BibTeX XML Cite \textit{V. Dokchitser} et al., J. Reine Angew. Math. 773, 199--230 (2021; Zbl 07330975) Full Text: DOI
Das, Shamik; Saikia, Anupam On \(\theta\)-congruent numbers over real number fields. (English) Zbl 07330711 Bull. Aust. Math. Soc. 103, No. 2, 218-229 (2021). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11R21 11R16 PDF BibTeX XML Cite \textit{S. Das} and \textit{A. Saikia}, Bull. Aust. Math. Soc. 103, No. 2, 218--229 (2021; Zbl 07330711) Full Text: DOI
Gu, Jarry; Lalín, Matilde The Mahler measure of a three-variable family and an application to the Boyd-Lawton formula. (English) Zbl 07326372 Res. Number Theory 7, No. 1, Paper No. 13, 23 p. (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11G05 11R42 11M06 PDF BibTeX XML Cite \textit{J. Gu} and \textit{M. Lalín}, Res. Number Theory 7, No. 1, Paper No. 13, 23 p. (2021; Zbl 07326372) Full Text: DOI
Ahmed, Suman; Lim, Meng Fai On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). (English) Zbl 07324322 Acta Arith. 197, No. 4, 353-377 (2021). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{S. Ahmed} and \textit{M. F. Lim}, Acta Arith. 197, No. 4, 353--377 (2021; Zbl 07324322) Full Text: DOI
Laflamme, Jeanne; Lalín, Matilde On Ceva points of (almost) equilateral triangles. (English) Zbl 07318729 J. Number Theory 222, 48-74 (2021). MSC: 11G05 14J27 14J28 14H52 11D25 PDF BibTeX XML Cite \textit{J. Laflamme} and \textit{M. Lalín}, J. Number Theory 222, 48--74 (2021; Zbl 07318729) Full Text: DOI
Tsang, Cindy; Xiao, Stanley Yao The number of quartic \(D_4\)-fields with monogenic cubic resolvent ordered by conductor. (English) Zbl 07313203 Trans. Am. Math. Soc. 374, No. 3, 1987-2033 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11E76 11G05 11N45 11R04 11R45 PDF BibTeX XML Cite \textit{C. Tsang} and \textit{S. Y. Xiao}, Trans. Am. Math. Soc. 374, No. 3, 1987--2033 (2021; Zbl 07313203) Full Text: DOI
Chen, Justin; Vemulapalli, Sameera; Zhang, Leon Computing unit groups of curves. (English) Zbl 07312479 J. Symb. Comput. 104, 236-255 (2021). MSC: 14T20 11G05 14R05 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Symb. Comput. 104, 236--255 (2021; Zbl 07312479) Full Text: DOI
Murakami, Kazuaki On a new invariant determining the isomorphism classes of \(\Lambda\)-modules with \(\lambda = 3\). (English) Zbl 07307690 Manuscr. Math. 164, No. 3-4, 409-430 (2021). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{K. Murakami}, Manuscr. Math. 164, No. 3--4, 409--430 (2021; Zbl 07307690) Full Text: DOI
Thorner, Jesse Effective forms of the Sato-Tate conjecture. (English) Zbl 07307665 Res. Math. Sci. 8, No. 1, Paper No. 4, 21 p. (2021). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11G05 11F30 PDF BibTeX XML Cite \textit{J. Thorner}, Res. Math. Sci. 8, No. 1, Paper No. 4, 21 p. (2021; Zbl 07307665) Full Text: DOI
Fukshansky, Lenny; Guerzhoy, Pavel; Kühnlein, Stefan On sparse geometry of numbers. (English) Zbl 07307663 Res. Math. Sci. 8, No. 1, Paper No. 2, 18 p. (2021). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 52C07 11G05 PDF BibTeX XML Cite \textit{L. Fukshansky} et al., Res. Math. Sci. 8, No. 1, Paper No. 2, 18 p. (2021; Zbl 07307663) Full Text: DOI
Lecouturier, Emmanuel Higher Eisenstein elements, higher Eichler formulas and rank of Hecke algebras. (English) Zbl 07306977 Invent. Math. 223, No. 2, 485-595 (2021). MSC: 11F33 11F80 11G05 PDF BibTeX XML Cite \textit{E. Lecouturier}, Invent. Math. 223, No. 2, 485--595 (2021; Zbl 07306977) Full Text: DOI
Dwarshuis, Arjan; Roelfszema, Majken; Top, Jaap Mazur’s rational torsion result for pointless genus one curves: examples. (English) Zbl 1457.11075 Res. Number Theory 7, No. 1, Paper No. 7, 12 p. (2021). MSC: 11G05 14H45 14G15 14H25 PDF BibTeX XML Cite \textit{A. Dwarshuis} et al., Res. Number Theory 7, No. 1, Paper No. 7, 12 p. (2021; Zbl 1457.11075) Full Text: DOI
Fisher, Tom; Ho, Wei; Park, Jennifer Everywhere local solubility for hypersurfaces in products of projective spaces. (English) Zbl 07304553 Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021). MSC: 11G05 14J45 11E12 11G07 11G35 14G05 PDF BibTeX XML Cite \textit{T. Fisher} et al., Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021; Zbl 07304553) Full Text: DOI
Longo, Matteo; Pati, Maria Rosaria Generalized Heegner cycles on Mumford curves. (English) Zbl 07303583 Math. Z. 297, No. 1-2, 483-515 (2021). MSC: 11G40 11G35 11G15 11G05 PDF BibTeX XML Cite \textit{M. Longo} and \textit{M. R. Pati}, Math. Z. 297, No. 1--2, 483--515 (2021; Zbl 07303583) Full Text: DOI
Beneish, Lea; Mertens, Michael H. On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras. (English) Zbl 07303564 Math. Z. 297, No. 1-2, 59-80 (2021). MSC: 11F03 11F22 17B69 11F37 11G40 11G05 11F67 PDF BibTeX XML Cite \textit{L. Beneish} and \textit{M. H. Mertens}, Math. Z. 297, No. 1--2, 59--80 (2021; Zbl 07303564) Full Text: DOI
Dieulefait, Luis; Soto, Eduardo Solving \(a x^p + b y^p = c z^p\) with \(abc\) containing an arbitrary number of prime factors. (English) Zbl 07302848 Mediterr. J. Math. 18, No. 2, Paper No. 48, 24 p. (2021). MSC: 11D41 11F33 11F80 11G05 11D61 11R18 PDF BibTeX XML Cite \textit{L. Dieulefait} and \textit{E. Soto}, Mediterr. J. Math. 18, No. 2, Paper No. 48, 24 p. (2021; Zbl 07302848) Full Text: DOI
Chou, Michael; Daniels, Harris B.; Krijan, Ivan; Najman, Filip Torsion groups of elliptic curves over the \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\). (English) Zbl 07302829 New York J. Math. 27, 99-123 (2021). MSC: 11G05 PDF BibTeX XML Cite \textit{M. Chou} et al., New York J. Math. 27, 99--123 (2021; Zbl 07302829) Full Text: Link
Bennett, Michael A. Integers represented by \(x^4 - y^4\) revisited. (English) Zbl 07302533 Bull. Aust. Math. Soc. 103, No. 1, 38-49 (2021). MSC: 11D41 11F33 11F80 11G05 PDF BibTeX XML Cite \textit{M. A. Bennett}, Bull. Aust. Math. Soc. 103, No. 1, 38--49 (2021; Zbl 07302533) Full Text: DOI
Moody, Dustin; Zargar, Arman Shamsi On the rank of elliptic curves arising from Pythagorean quadruplets. II. (English) Zbl 07301026 Colloq. Math. 163, No. 2, 189-196 (2021). MSC: 14H52 11G05 11D25 PDF BibTeX XML Cite \textit{D. Moody} and \textit{A. S. Zargar}, Colloq. Math. 163, No. 2, 189--196 (2021; Zbl 07301026) Full Text: DOI
Andrica, Dorin; Ţurcaş, George C. Pairs of rational triangles with equal symmetric invariants. (English) Zbl 1453.14072 J. Number Theory 221, 496-504 (2021). MSC: 14G05 11G30 11Y50 PDF BibTeX XML Cite \textit{D. Andrica} and \textit{G. C. Ţurcaş}, J. Number Theory 221, 496--504 (2021; Zbl 1453.14072) Full Text: DOI
Lozano-Robledo, Álvaro A probabilistic model for the distribution of ranks of elliptic curves over \(\mathbb{Q}\). (English) Zbl 07300435 J. Number Theory 221, 270-338 (2021). MSC: 11G05 14H52 PDF BibTeX XML Cite \textit{Á. Lozano-Robledo}, J. Number Theory 221, 270--338 (2021; Zbl 07300435) Full Text: DOI
Cerchia, Michael; Rouse, Jeremy Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves. (English) Zbl 07299102 Proc. Am. Math. Soc. 149, No. 2, 583-589 (2021). MSC: 11F80 11G05 12G05 PDF BibTeX XML Cite \textit{M. Cerchia} and \textit{J. Rouse}, Proc. Am. Math. Soc. 149, No. 2, 583--589 (2021; Zbl 07299102) Full Text: DOI
Mok, Chung Pang On a theorem of Bertolini-Darmon on the rationality of Stark-Heegner points over genus fields of real quadratic fields. (English) Zbl 07291902 Trans. Am. Math. Soc. 374, No. 2, 1391-1419 (2021). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{C. P. Mok}, Trans. Am. Math. Soc. 374, No. 2, 1391--1419 (2021; Zbl 07291902) Full Text: DOI
Gužvić, Tomislav Torsion growth of rational elliptic curves in sextic number fields. (English) Zbl 07276987 J. Number Theory 220, 330-345 (2021). MSC: 14H52 11G05 PDF BibTeX XML Cite \textit{T. Gužvić}, J. Number Theory 220, 330--345 (2021; Zbl 07276987) Full Text: DOI
Box, Josha Quadratic points on modular curves with infinite Mordell-Weil group. (English) Zbl 07268661 Math. Comput. 90, No. 327, 321-343 (2021). Reviewer: Rubén A. Hidalgo (Temuco) MSC: 11G05 14G05 11G18 PDF BibTeX XML Cite \textit{J. Box}, Math. Comput. 90, No. 327, 321--343 (2021; Zbl 07268661) Full Text: DOI
Morton, Patrick On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\). (English) Zbl 07257228 J. Number Theory 218, 234-271 (2021). MSC: 11G05 11G07 11F03 14H52 11G15 11G20 11R29 11R37 PDF BibTeX XML Cite \textit{P. Morton}, J. Number Theory 218, 234--271 (2021; Zbl 07257228) Full Text: DOI
Dujella, Andrej; Peral, Juan Carlos High rank elliptic curves induced by rational Diophantine triples. (English) Zbl 07358975 Glas. Mat., III. Ser. 55, No. 2, 237-252 (2020). MSC: 11G05 11D09 PDF BibTeX XML Cite \textit{A. Dujella} and \textit{J. C. Peral}, Glas. Mat., III. Ser. 55, No. 2, 237--252 (2020; Zbl 07358975) Full Text: DOI
Jędrzejak, Tomasz Integral points on elliptic curves associated with generalized twin primes. (English) Zbl 1460.11081 Gładki, Paweł (ed.) et al., Algebra, logic and number theory. Proceedings of the 5th joint conferences, Będlewo, Poland, June 24–29, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 121, 71-78 (2020). MSC: 11G05 11G50 PDF BibTeX XML Cite \textit{T. Jędrzejak}, Banach Cent. Publ. 121, 71--78 (2020; Zbl 1460.11081) Full Text: DOI
Colò, Leonardo; Kohel, David Orienting supersingular isogeny graphs. (English) Zbl 1460.11080 J. Math. Cryptol. 14, 414-437 (2020). MSC: 11G05 11T71 14H52 14K02 94A60 PDF BibTeX XML Cite \textit{L. Colò} and \textit{D. Kohel}, J. Math. Cryptol. 14, 414--437 (2020; Zbl 1460.11080) Full Text: DOI
Coates, John; Li, Yongxiong Non-vanishing theorems for central \(L\)-values of some elliptic curves with complex multiplication. (English) Zbl 07346496 Proc. Lond. Math. Soc. (3) 121, No. 6, 1531-1578 (2020). MSC: 11G15 11G05 11G40 PDF BibTeX XML Cite \textit{J. Coates} and \textit{Y. Li}, Proc. Lond. Math. Soc. (3) 121, No. 6, 1531--1578 (2020; Zbl 07346496) Full Text: DOI
Vogt, Isabel A local-global principle for isogenies of composite degree. (English) Zbl 07346495 Proc. Lond. Math. Soc. (3) 121, No. 6, 1496-1530 (2020). MSC: 11G05 PDF BibTeX XML Cite \textit{I. Vogt}, Proc. Lond. Math. Soc. (3) 121, No. 6, 1496--1530 (2020; Zbl 07346495) Full Text: DOI
Li, Jiao; Yang, Hai; Dong, Xin Solution distribution of integral points on the elliptic curve \({y^2} = nx ({x^2} + 256)\). (Chinese. English summary) Zbl 07338511 Basic Sci. J. Text. Univ. 33, No. 3, 94-98 (2020). MSC: 11G05 11G07 PDF BibTeX XML Cite \textit{J. Li} et al., Basic Sci. J. Text. Univ. 33, No. 3, 94--98 (2020; Zbl 07338511) Full Text: DOI
Mbiang, Narcisse Bang; Aranha, Diego De Freitas; Fouotsa, Emmanuel Computing the optimal ate pairing over elliptic curves with embedding degrees 54 and 48 at the 256-bit security level. (English) Zbl 07336558 Int. J. Appl. Cryptogr. 4, No. 1, 45-59 (2020). MSC: 94A60 11G20 11G05 PDF BibTeX XML Cite \textit{N. B. Mbiang} et al., Int. J. Appl. Cryptogr. 4, No. 1, 45--59 (2020; Zbl 07336558) Full Text: DOI
Bogomolov, Fedor A.; Fu, Hang On the \(\mathrm{PGL}_2\)-invariant quadruples of torsion points of elliptic curves. (English) Zbl 07335104 Eur. J. Math. 6, No. 4, 1236-1253 (2020). MSC: 14H52 11G05 11F03 20H05 40A20 PDF BibTeX XML Cite \textit{F. A. Bogomolov} and \textit{H. Fu}, Eur. J. Math. 6, No. 4, 1236--1253 (2020; Zbl 07335104) Full Text: DOI
Knaf, Hagen; Selder, Erich; Spindler, Karlheinz Four rational squares in arithmetic progressions and a family of elliptic curves with positive Mordell-Weil rank. (English) Zbl 07334931 Math. Semesterber. 67, No. 2, 213-236 (2020). MSC: 14H52 11D09 11G05 14E05 PDF BibTeX XML Cite \textit{H. Knaf} et al., Math. Semesterber. 67, No. 2, 213--236 (2020; Zbl 07334931) Full Text: DOI
Park, Jinseo Integer points on the elliptic curves induced by Diophantine triples. (English) Zbl 07333846 Commun. Korean Math. Soc. 35, No. 3, 745-757 (2020). MSC: 11B39 11G05 11D09 11D45 PDF BibTeX XML Cite \textit{J. Park}, Commun. Korean Math. Soc. 35, No. 3, 745--757 (2020; Zbl 07333846) Full Text: DOI
Li, Chao Recent developments on quadratic twists of elliptic curves. (English) Zbl 1457.11077 Cheng, Shiu Yuen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 381-399 (2020). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{C. Li}, in: Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 381--399 (2020; Zbl 1457.11077)
Wan, Xin Iwasawa theory, Heegner points and BSD conjecture. (English) Zbl 1457.11150 Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 503-517 (2020). MSC: 11R23 11G40 11G05 PDF BibTeX XML Cite \textit{X. Wan}, in: Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 503--517 (2020; Zbl 1457.11150)
Elkies, Noam D.; Klagsbrun, Zev New rank records for elliptic curves having rational torsion. (English) Zbl 07319970 Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-07-1/print; 978-1-935107-08-8/ebook). The Open Book Series 4, 233-250 (2020). MSC: 11G05 PDF BibTeX XML Cite \textit{N. D. Elkies} and \textit{Z. Klagsbrun}, Open Book Ser. 4, 233--250 (2020; Zbl 07319970) Full Text: DOI
Bernstein, Daniel J.; De Feo, Luca; Leroux, Antonin; Smith, Benjamin Faster computation of isogenies of large prime degree. (English) Zbl 07319959 Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-07-1/print; 978-1-935107-08-8/ebook). The Open Book Series 4, 39-55 (2020). MSC: 11Y16 11G05 94A60 PDF BibTeX XML Cite \textit{D. J. Bernstein} et al., Open Book Ser. 4, 39--55 (2020; Zbl 07319959) Full Text: DOI
Shabani-Solt, H.; Yusefnejad, N.; Janfada, A. S. On the Diophantine equation \(x^6+ky^3=z^6+kw^3\). (English) Zbl 1455.11170 Iran. J. Math. Sci. Inform. 15, No. 1, 15-21 (2020). MSC: 11Y50 11G05 11D41 PDF BibTeX XML Cite \textit{H. Shabani-Solt} et al., Iran. J. Math. Sci. Inform. 15, No. 1, 15--21 (2020; Zbl 1455.11170) Full Text: Link
Barrios, Alexander J. A constructive proof of Masser’s theorem. (English) Zbl 1456.11099 Ortega, Omayra (ed.) et al., The golden anniversary celebration of the National Association of Mathematicians. AMS special session on the mathematics of historically black colleges and universities, HBCUs in the Mid-Atlantic. MAA invited paper session on the past 50 years of African Americans in the mathematical sciences. Haynes-Granville-Browne session of presentations by recent doctoral recipients. 2019 Claytor-Wookdard lecture. NAM David Harold Blackwell lecture, Baltimore, MD, USA and Cincinnati, OH, USA, January 17, 18 and 19 and August 2, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 759, 51-61 (2020). MSC: 11G05 PDF BibTeX XML Cite \textit{A. J. Barrios}, Contemp. Math. 759, 51--61 (2020; Zbl 1456.11099) Full Text: DOI
Duncan, John F. R. From the monster to Thompson to O’Nan. (English) Zbl 1456.11063 Krauel, Matthew (ed.) et al., Vertex operator algebras, number theory and related topics. International conference, California State University, Sacramento, CA, USA, June 11–15, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 753, 73-93 (2020). MSC: 11F22 11F37 20D08 11G05 11G40 20C34 PDF BibTeX XML Cite \textit{J. F. R. Duncan}, Contemp. Math. 753, 73--93 (2020; Zbl 1456.11063) Full Text: DOI
Muslim, N.; Yunos, F.; Razali, Z.; Said, M. R. M. Elliptic net scalar multiplication upon Koblitz curves. (English) Zbl 07314110 Malays. J. Math. Sci. 14, No. 3, 373-388 (2020). MSC: 11T71 11G05 14G50 PDF BibTeX XML Cite \textit{N. Muslim} et al., Malays. J. Math. Sci. 14, No. 3, 373--388 (2020; Zbl 07314110) Full Text: Link
Lei, Antonio; Sujatha, Ramdorai On Selmer groups in the supersingular reduction case. (English) Zbl 07311075 Tokyo J. Math. 43, No. 2, 455-479 (2020). MSC: 11R23 11G05 11F11 PDF BibTeX XML Cite \textit{A. Lei} and \textit{R. Sujatha}, Tokyo J. Math. 43, No. 2, 455--479 (2020; Zbl 07311075) Full Text: DOI Euclid
Narita, Hiro-aki; Sugimoto, Kousuke Modular degrees of elliptic curves and some quotient of \(L\)-values. (English) Zbl 07311071 Tokyo J. Math. 43, No. 2, 279-293 (2020). MSC: 11F67 11G05 PDF BibTeX XML Cite \textit{H.-a. Narita} and \textit{K. Sugimoto}, Tokyo J. Math. 43, No. 2, 279--293 (2020; Zbl 07311071) Full Text: DOI Euclid
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 PDF BibTeX XML Cite \textit{S. Das} and \textit{A. Saikia}, Integers 20, Paper A55, 12 p. (2020; Zbl 1459.11085) Full Text: Link
Lim, Meng Fai On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions. (English) Zbl 07304472 Doc. Math. 25, 2445-2471 (2020). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Doc. Math. 25, 2445--2471 (2020; Zbl 07304472) Full Text: DOI
Eilbeck, J. Chris; Ônishi, Yoshihiro Recursion relations on the power series expansion of the universal Weierstrass sigma function. (English) Zbl 1455.33011 RIMS Kôkyûroku Bessatsu B78, 77-98 (2020). MSC: 33E05 14K25 14H42 11G05 14H70 PDF BibTeX XML Cite \textit{J. C. Eilbeck} and \textit{Y. Ônishi}, RIMS Kôkyûroku Bessatsu B78, 77--98 (2020; Zbl 1455.33011) Full Text: Link
Yoshikawa, Sho On modularity of elliptic curves over certain totally real fields; a résumé. (Japanese. English summary) Zbl 1453.11081 RIMS Kôkyûroku Bessatsu B77, 265-269 (2020). MSC: 11G05 11F41 11F80 PDF BibTeX XML Cite \textit{S. Yoshikawa}, RIMS Kôkyûroku Bessatsu B77, 265--269 (2020; Zbl 1453.11081) Full Text: Link
Kitajima, Takahiro On the plus and the minus Selmer groups for elliptic curves at supersingular primes – a research announcement. (Japanese. English summary) Zbl 1453.11078 RIMS Kôkyûroku Bessatsu B77, 251-258 (2020). MSC: 11G05 11R23 PDF BibTeX XML Cite \textit{T. Kitajima}, RIMS Kôkyûroku Bessatsu B77, 251--258 (2020; Zbl 1453.11078) Full Text: Link
Kobayashi, Shinichi Anticyclotomic Iwasawa theory and generalized Heegner cycles. (Japanese. English summary) Zbl 1453.11143 RIMS Kôkyûroku Bessatsu B77, 55-74 (2020). MSC: 11R23 11G05 11G40 11G50 11-02 PDF BibTeX XML Cite \textit{S. Kobayashi}, RIMS Kôkyûroku Bessatsu B77, 55--74 (2020; Zbl 1453.11143) Full Text: Link
Wong, Peng-Jie Cyclicity and exponents of CM elliptic curves modulo \(p\) in short intervals. (English) Zbl 07301839 Trans. Am. Math. Soc. 373, No. 12, 8725-8749 (2020). MSC: 11G05 11N36 11G15 11R45 11R44 PDF BibTeX XML Cite \textit{P.-J. Wong}, Trans. Am. Math. Soc. 373, No. 12, 8725--8749 (2020; Zbl 07301839) Full Text: DOI
Ferraguti, Andrea; Micheli, Giacomo An equivariant isomorphism theorem for mod \(\mathfrak{p}\) reductions of arboreal Galois representations. (English) Zbl 07301832 Trans. Am. Math. Soc. 373, No. 12, 8525-8542 (2020). Reviewer: Andrej Dujella (Zagreb) MSC: 37P05 37P15 11G05 11R32 20E08 PDF BibTeX XML Cite \textit{A. Ferraguti} and \textit{G. Micheli}, Trans. Am. Math. Soc. 373, No. 12, 8525--8542 (2020; Zbl 07301832) Full Text: DOI
Zhang, Yong; Shen, Zhongyan Arithmetic properties of polynomials. (English) Zbl 07301160 Period. Math. Hung. 81, No. 1, 134-148 (2020). MSC: 11D25 11D72 11G05 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Z. Shen}, Period. Math. Hung. 81, No. 1, 134--148 (2020; Zbl 07301160) Full Text: DOI
González-Jiménez, Enrique Torsion growth over cubic fields of rational elliptic curves with complex multiplication. (English) Zbl 07301124 Publ. Math. 97, No. 1-2, 63-76 (2020). Reviewer: G. K. Sankaran (Bath) MSC: 11G05 11G15 PDF BibTeX XML Cite \textit{E. González-Jiménez}, Publ. Math. 97, No. 1--2, 63--76 (2020; Zbl 07301124) Full Text: DOI
Love, Jonathan Rational equivalences on products of elliptic curves in a family. (English. French summary) Zbl 1460.14019 J. Théor. Nombres Bordx. 32, No. 3, 923-938 (2020). MSC: 14C15 14J27 11G05 PDF BibTeX XML Cite \textit{J. Love}, J. Théor. Nombres Bordx. 32, No. 3, 923--938 (2020; Zbl 1460.14019) Full Text: DOI
Jha, Somnath; Ochiai, Tadashi Control theorem and functional equation of Selmer groups over \(p\)-adic Lie extensions. (English) Zbl 07296292 Sel. Math., New Ser. 26, No. 5, Paper No. 80, 58 p. (2020). MSC: 11R23 19A31 16E20 11G40 20C07 11G05 11F67 PDF BibTeX XML Cite \textit{S. Jha} and \textit{T. Ochiai}, Sel. Math., New Ser. 26, No. 5, Paper No. 80, 58 p. (2020; Zbl 07296292) Full Text: DOI
Dujella, Andrej; Mikić, Miljen Rank zero elliptic curves induced by rational Diophantine triples. (English) Zbl 07293422 Rad Hrvat. Akad. Znan. Umjet. 542, Mat. Znan. 24, 29-37 (2020). Reviewer: István Gaál (Debrecen) MSC: 11G05 11D09 PDF BibTeX XML Cite \textit{A. Dujella} and \textit{M. Mikić}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 542(24), 29--37 (2020; Zbl 07293422) Full Text: DOI Link
Jones, Nathan A bound for the conductor of an open subgroup of \(\operatorname{GL}_2\) associated to an elliptic curve. (English) Zbl 07291154 Pac. J. Math. 308, No. 2, 307-331 (2020). MSC: 11F80 11G05 PDF BibTeX XML Cite \textit{N. Jones}, Pac. J. Math. 308, No. 2, 307--331 (2020; Zbl 07291154) Full Text: DOI
Duquesne, Sylvain; Nara, Tadahisa; Zargar, Arman Shamsi Generators and integral points on elliptic curves associated with simplest quartic fields. (English) Zbl 07289640 Math. Slovaca 70, No. 2, 273-288 (2020). MSC: 11G05 14H52 PDF BibTeX XML Cite \textit{S. Duquesne} et al., Math. Slovaca 70, No. 2, 273--288 (2020; Zbl 07289640) Full Text: DOI
Várilly-Alvarado, Anthony; Viray, Bianca Corrigendum: “Abelian \(n\)-division fields of elliptic curves and Brauer groups of product Kummer & abelian surfaces”. (English) Zbl 1459.14008 Forum Math. Sigma 8, Paper No. e60, 4 p. (2020). MSC: 14F22 11G05 14J28 14K05 11G10 PDF BibTeX XML Cite \textit{A. Várilly-Alvarado} and \textit{B. Viray}, Forum Math. Sigma 8, Paper No. e60, 4 p. (2020; Zbl 1459.14008) Full Text: DOI
Bourdon, Abbey; Clark, Pete L. Torsion points and isogenies on CM elliptic curves. (English) Zbl 07288969 J. Lond. Math. Soc., II. Ser. 102, No. 2, 580-622 (2020). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11G15 PDF BibTeX XML Cite \textit{A. Bourdon} and \textit{P. L. Clark}, J. Lond. Math. Soc., II. Ser. 102, No. 2, 580--622 (2020; Zbl 07288969) Full Text: DOI
Kezuka, Yukako; Li, Yongxiong A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial. (English) Zbl 07286580 Doc. Math. 25, 2115-2147 (2020). Reviewer: Noburo Ishii (Kyoto) MSC: 14H52 11G05 11R29 PDF BibTeX XML Cite \textit{Y. Kezuka} and \textit{Y. Li}, Doc. Math. 25, 2115--2147 (2020; Zbl 07286580) Full Text: DOI
Castella, Francesc On the \(p\)-adic variation of Heegner points. (English) Zbl 1454.11108 J. Inst. Math. Jussieu 19, No. 6, 2127-2164 (2020). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{F. Castella}, J. Inst. Math. Jussieu 19, No. 6, 2127--2164 (2020; Zbl 1454.11108) Full Text: DOI
Perret-Gentil, Corentin The average number of subgroups of elliptic curves over finite fields. (English) Zbl 07277640 Q. J. Math. 71, No. 3, 781-822 (2020). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11G20 14H52 11N45 PDF BibTeX XML Cite \textit{C. Perret-Gentil}, Q. J. Math. 71, No. 3, 781--822 (2020; Zbl 07277640) Full Text: DOI
Barroero, Fabrizio; Sha, Min Torsion points with multiplicatively dependent coordinates on elliptic curves. (English) Zbl 07276227 Bull. Lond. Math. Soc. 52, No. 5, 807-815 (2020). MSC: 11G05 11G50 11U09 14K05 PDF BibTeX XML Cite \textit{F. Barroero} and \textit{M. Sha}, Bull. Lond. Math. Soc. 52, No. 5, 807--815 (2020; Zbl 07276227) Full Text: DOI
Liu, Yifeng; Tian, Yichao Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups. (English) Zbl 07275222 Algebra Number Theory 14, No. 8, 2059-2119 (2020). MSC: 14G35 11G05 11R34 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Y. Tian}, Algebra Number Theory 14, No. 8, 2059--2119 (2020; Zbl 07275222) Full Text: DOI
Beacom, Jamie Computation of the unipotent Albanese map on elliptic and hyperelliptic curves. (English. French summary) Zbl 07270806 Ann. Math. Qué. 44, No. 2, 201-259 (2020). MSC: 11G05 11G30 11S80 11Y40 PDF BibTeX XML Cite \textit{J. Beacom}, Ann. Math. Qué. 44, No. 2, 201--259 (2020; Zbl 07270806) Full Text: DOI
Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y. Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. (English) Zbl 1456.11101 J. Am. Math. Soc. 33, No. 4, 1087-1099 (2020). Reviewer: Sajad Salami (Rio de Janeiro) MSC: 11G05 11R29 PDF BibTeX XML Cite \textit{M. Bhargava} et al., J. Am. Math. Soc. 33, No. 4, 1087--1099 (2020; Zbl 1456.11101) Full Text: DOI
Laczkovich, Miklós Rational points of some elliptic curves related to the tilings of the equilateral triangle. (English) Zbl 1444.11119 Discrete Comput. Geom. 64, No. 3, 985-994 (2020). MSC: 11G05 05B45 52C20 PDF BibTeX XML Cite \textit{M. Laczkovich}, Discrete Comput. Geom. 64, No. 3, 985--994 (2020; Zbl 1444.11119) Full Text: DOI
Rosu, Eugenia Central values of \(L\)-functions of cubic twists. (English) Zbl 07262924 Math. Ann. 378, No. 3-4, 1327-1370 (2020). Reviewer: Remke Kloosterman (Padova) MSC: 11G40 11F67 14H52 PDF BibTeX XML Cite \textit{E. Rosu}, Math. Ann. 378, No. 3--4, 1327--1370 (2020; Zbl 07262924) Full Text: DOI
Matar, Ahmed On the \(\Lambda \)-cotorsion subgroup of the Selmer group. (English) Zbl 1444.11120 Asian J. Math. 24, No. 3, 437-456 (2020). MSC: 11G05 11R23 12G05 PDF BibTeX XML Cite \textit{A. Matar}, Asian J. Math. 24, No. 3, 437--456 (2020; Zbl 1444.11120) Full Text: DOI
Crisąn, Vlad; Müller, Katharina The vanishing of the \(\mu \)-invariant for split prime \(\mathbb{Z}_p\)-extensions over imaginary quadratic fields. (English) Zbl 07261072 Asian J. Math. 24, No. 2, 267-302 (2020). MSC: 11G05 11R23 PDF BibTeX XML Cite \textit{V. Crisąn} and \textit{K. Müller}, Asian J. Math. 24, No. 2, 267--302 (2020; Zbl 07261072) Full Text: DOI
Dąbrowski, Andrzej; Jędrzejak, Tomasz; Szymaszkiewicz, Lucjan Critical \(L\)-values for some quadratic twists of Gross curves. (English) Zbl 07261071 Asian J. Math. 24, No. 2, 257-266 (2020). MSC: 11G05 11G40 11Y40 PDF BibTeX XML Cite \textit{A. Dąbrowski} et al., Asian J. Math. 24, No. 2, 257--266 (2020; Zbl 07261071) Full Text: DOI
Işik, Erman; Kara, Yasemin; Özman, Ekin On ternary Diophantine equations of signature \((p,p,2)\) over number fields. (English) Zbl 07259216 Turk. J. Math. 44, No. 4, 1197-1211 (2020). MSC: 11D41 11G05 11D45 PDF BibTeX XML Cite \textit{E. Işik} et al., Turk. J. Math. 44, No. 4, 1197--1211 (2020; Zbl 07259216) Full Text: DOI