Rivero, Óscar Generalized Kato classes and exceptional zero conjectures. (English) Zbl 07525028 Indiana Univ. Math. J. 71, No. 2, 649-684 (2022). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{Ó. Rivero}, Indiana Univ. Math. J. 71, No. 2, 649--684 (2022; Zbl 07525028) Full Text: DOI OpenURL
Arnold, Maxim; Fuchs, Dmitry; Izmestiev, Ivan; Tabachnikov, Serge Cross-ratio dynamics on ideal polygons. (English) Zbl 07524751 Int. Math. Res. Not. 2022, No. 9, 6770-6853 (2022). MSC: 51M09 53A04 PDF BibTeX XML Cite \textit{M. Arnold} et al., Int. Math. Res. Not. 2022, No. 9, 6770--6853 (2022; Zbl 07524751) Full Text: DOI OpenURL
Juyal, Abhishek; Moody, Dustin Pairs of Heron and right triangles with a common area and a common perimeter. (English) Zbl 07523947 Publ. Math. 100, No. 3-4, 449-460 (2022). MSC: 11D25 11G05 PDF BibTeX XML Cite \textit{A. Juyal} and \textit{D. Moody}, Publ. Math. 100, No. 3--4, 449--460 (2022; Zbl 07523947) Full Text: DOI OpenURL
Dimabayao, Jerome Tomagan Concordant pairs in ratios with rank at least two and the distribution of \(\theta\)-congruent numbers. (English) Zbl 07522860 Proc. Japan Acad., Ser. A 98, No. 4, 25-27 (2022). MSC: 11G05 11D09 11D45 PDF BibTeX XML Cite \textit{J. T. Dimabayao}, Proc. Japan Acad., Ser. A 98, No. 4, 25--27 (2022; Zbl 07522860) Full Text: DOI OpenURL
Ieronymou, Evis Evaluation of Brauer elements over local fields. (English) Zbl 07522778 Math. Ann. 382, No. 1-2, 239-254 (2022). MSC: 11G05 14F22 14G12 14J28 PDF BibTeX XML Cite \textit{E. Ieronymou}, Math. Ann. 382, No. 1--2, 239--254 (2022; Zbl 07522778) Full Text: DOI OpenURL
Dobrescu, Bogdan A.; Fox, Patrick J. Diophantine equations with sum of cubes and cube of sum. (English) Zbl 07516335 Commun. Number Theory Phys. 16, No. 2, 401-434 (2022). MSC: 11D25 11D45 11D85 11G05 PDF BibTeX XML Cite \textit{B. A. Dobrescu} and \textit{P. J. Fox}, Commun. Number Theory Phys. 16, No. 2, 401--434 (2022; Zbl 07516335) Full Text: DOI OpenURL
Kondo, Satoshi; Watari, Taizan Modular parametrization as Polyakov path integral: cases with CM elliptic curves as target spaces. (English) Zbl 07516334 Commun. Number Theory Phys. 16, No. 2, 353-400 (2022). MSC: 11G05 11G15 11G40 81T30 81T40 PDF BibTeX XML Cite \textit{S. Kondo} and \textit{T. Watari}, Commun. Number Theory Phys. 16, No. 2, 353--400 (2022; Zbl 07516334) Full Text: DOI OpenURL
Castella, Francesc; Hsieh, Ming-Lun On the nonvanishing of generalised Kato classes for elliptic curves of rank 2. (English) Zbl 07514101 Forum Math. Sigma 10, Paper No. e12, 32 p. (2022). MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{F. Castella} and \textit{M.-L. Hsieh}, Forum Math. Sigma 10, Paper No. e12, 32 p. (2022; Zbl 07514101) Full Text: DOI OpenURL
Meier, Lennart Additive decompositions for rings of modular forms. (English) Zbl 07514096 Doc. Math. 27, 427-488 (2022). MSC: 11F11 14D23 PDF BibTeX XML Cite \textit{L. Meier}, Doc. Math. 27, 427--488 (2022; Zbl 07514096) Full Text: DOI OpenURL
Anupindi, Vishnupriya; Mérai, László Linear complexity of some sequences derived from hyperelliptic curves of genus 2. (English) Zbl 07513134 Cryptogr. Commun. 14, No. 1, 117-134 (2022). MSC: 11G20 11K45 11T71 PDF BibTeX XML Cite \textit{V. Anupindi} and \textit{L. Mérai}, Cryptogr. Commun. 14, No. 1, 117--134 (2022; Zbl 07513134) Full Text: DOI OpenURL
Wang, Bei; Li, Songsong; Ouyang, Yi; Hu, Honggang Ready-made short basis for GLV+GLS on high degree twisted curves. (English) Zbl 07512900 AIMS Math. 7, No. 1, 306-314 (2022). MSC: 14G50 94A60 11T71 14H52 PDF BibTeX XML Cite \textit{B. Wang} et al., AIMS Math. 7, No. 1, 306--314 (2022; Zbl 07512900) Full Text: DOI OpenURL
Bruzzo, Ugo; Peragine, Vitantonio Semistable Higgs bundles on elliptic surfaces. (English) Zbl 07510942 Adv. Geom. 22, No. 2, 151-169 (2022). MSC: 14H60 14J27 14J60 PDF BibTeX XML Cite \textit{U. Bruzzo} and \textit{V. Peragine}, Adv. Geom. 22, No. 2, 151--169 (2022; Zbl 07510942) Full Text: DOI OpenURL
Agwu, Anthony; Harris, Phillip; James, Kevin; Kannan, Siddarth; Li, Huixi Frobenius distributions of elliptic curves in short intervals on average. (English) Zbl 07510926 Ramanujan J. 58, No. 1, 75-120 (2022). MSC: 11G05 11N05 PDF BibTeX XML Cite \textit{A. Agwu} et al., Ramanujan J. 58, No. 1, 75--120 (2022; Zbl 07510926) Full Text: DOI OpenURL
Burban, Igor; Peruzzi, Andrea On elliptic solutions of the associative Yang-Baxter equation. (English) Zbl 07510791 J. Geom. Phys. 176, Article ID 104499, 10 p. (2022). MSC: 17B38 16T25 PDF BibTeX XML Cite \textit{I. Burban} and \textit{A. Peruzzi}, J. Geom. Phys. 176, Article ID 104499, 10 p. (2022; Zbl 07510791) Full Text: DOI OpenURL
Maehara, Hiroshi; Martini, Horst On Cesàro triangles and spherical polygons. (English) Zbl 07508336 Aequationes Math. 96, No. 2, 361-379 (2022). MSC: 51M04 51M09 51M16 52A10 PDF BibTeX XML Cite \textit{H. Maehara} and \textit{H. Martini}, Aequationes Math. 96, No. 2, 361--379 (2022; Zbl 07508336) Full Text: DOI OpenURL
Castella, Francesc; Wan, Xin The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions. (English) Zbl 07507732 Adv. Math. 400, Article ID 108266, 45 p. (2022). MSC: 11R23 11G05 11G40 PDF BibTeX XML Cite \textit{F. Castella} and \textit{X. Wan}, Adv. Math. 400, Article ID 108266, 45 p. (2022; Zbl 07507732) Full Text: DOI OpenURL
Chen, Gui-Qiang G.; Feldman, Mikhail Multidimensional transonic shock waves and free boundary problems. (English) Zbl 07506070 Bull. Math. Sci. 12, No. 1, Article ID 2230002, 85 p. (2022). MSC: 35Q31 35M10 35M12 35R35 35L65 35B30 35B40 35D30 35B65 35J70 76H05 35L67 35B45 35B35 35B36 35L20 35J67 76N10 76L05 76N20 76G25 PDF BibTeX XML Cite \textit{G.-Q. G. Chen} and \textit{M. Feldman}, Bull. Math. Sci. 12, No. 1, Article ID 2230002, 85 p. (2022; Zbl 07506070) Full Text: DOI OpenURL
Özman, Ekin; Siksek, Samir S-unit equations and the asymptotic Fermat conjecture over number fields. (English) Zbl 07505765 Kurşungöz, Kağan (ed.) et al., Number theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, Istanbul University, Turkey, July 1–5, 2019. De Gruyter Proceedings in Mathematics. Berlin: De Gruyter. 83-103 (2022). MSC: 11D41 11G05 11D61 PDF BibTeX XML Cite \textit{E. Özman} and \textit{S. Siksek}, in: Number theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, Istanbul University, Turkey, July 1--5, 2019. Berlin: De Gruyter. 83--103 (2022; Zbl 07505765) Full Text: DOI OpenURL
Park, Cheol-Min; Park, Sun Woo Minimal degrees of algebraic numbers with respect to primitive elements. (English) Zbl 07505283 Int. J. Number Theory 18, No. 3, 485-500 (2022). MSC: 11R04 11R09 14G05 14H52 PDF BibTeX XML Cite \textit{C.-M. Park} and \textit{S. W. Park}, Int. J. Number Theory 18, No. 3, 485--500 (2022; Zbl 07505283) Full Text: DOI OpenURL
Leterrier, Gauthier On the Mordell-Weil lattice of \(y^2=x^3+bx+t^{3^n+1}\) in characteristic 3. (English) Zbl 07504607 Res. Number Theory 8, No. 2, Paper No. 23, 20 p. (2022). MSC: 11G05 11M38 11T24 11H31 PDF BibTeX XML Cite \textit{G. Leterrier}, Res. Number Theory 8, No. 2, Paper No. 23, 20 p. (2022; Zbl 07504607) Full Text: DOI OpenURL
Box, Josha Elliptic curves over totally real quartic fields not containing \(\sqrt{5}\) are modular. (English) Zbl 07502495 Trans. Am. Math. Soc. 375, No. 5, 3129-3172 (2022). MSC: 11F80 11G05 PDF BibTeX XML Cite \textit{J. Box}, Trans. Am. Math. Soc. 375, No. 5, 3129--3172 (2022; Zbl 07502495) Full Text: DOI OpenURL
Itaba, Ayako; Matsuno, Masaki AS-regularity of geometric algebras of plane cubic curves. (English) Zbl 07501630 J. Aust. Math. Soc. 112, No. 2, 193-217 (2022). MSC: 16W50 16S37 16D90 16E65 PDF BibTeX XML Cite \textit{A. Itaba} and \textit{M. Matsuno}, J. Aust. Math. Soc. 112, No. 2, 193--217 (2022; Zbl 07501630) Full Text: DOI OpenURL
Ashmore, Anthony; Deen, Rehan; He, Yang-Hui; Ovrut, Burt A. Machine learning line bundle connections. (English) Zbl 07500085 Phys. Lett., B 827, Article ID 136972, 9 p. (2022). MSC: 81P68 68T05 14D20 14J32 14H52 68T07 53C07 PDF BibTeX XML Cite \textit{A. Ashmore} et al., Phys. Lett., B 827, Article ID 136972, 9 p. (2022; Zbl 07500085) Full Text: DOI OpenURL
Gönen, Mehmet Emin; Tutdere, Seher; Uzunkol, Osmanbey A key manipulation attack on some recent isogeny-based key agreement protocols. (English) Zbl 07499384 Bull. Iran. Math. Soc. 48, No. 2, 613-625 (2022). MSC: 94A60 81P94 14G50 65F05 PDF BibTeX XML Cite \textit{M. E. Gönen} et al., Bull. Iran. Math. Soc. 48, No. 2, 613--625 (2022; Zbl 07499384) Full Text: DOI OpenURL
Cremona, John E.; Freitas, Nuno Global methods for the symplectic type of congruences between elliptic curves. (English) Zbl 07498306 Rev. Mat. Iberoam. 38, No. 1, 1-32 (2022). MSC: 11G05 11F80 11F33 PDF BibTeX XML Cite \textit{J. E. Cremona} and \textit{N. Freitas}, Rev. Mat. Iberoam. 38, No. 1, 1--32 (2022; Zbl 07498306) Full Text: DOI OpenURL
Ray, Jishnu On the growth of \(\mu \)-invariant in Iwasawa theory of supersingular elliptic curves. (English) Zbl 07496909 Acta Arith. 202, No. 3, 241-251 (2022). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{J. Ray}, Acta Arith. 202, No. 3, 241--251 (2022; Zbl 07496909) Full Text: DOI OpenURL
Ouyang, Yi; Zhang, Shenxing Errata to: “On second 2-descent and non-congruent numbers”. (English) Zbl 1482.11082 Acta Arith. 202, No. 2, 203 (2022). MSC: 11G05 11D25 PDF BibTeX XML Cite \textit{Y. Ouyang} and \textit{S. Zhang}, Acta Arith. 202, No. 2, 203 (2022; Zbl 1482.11082) Full Text: DOI OpenURL
Phillips, Tristan Most elliptic curves over global function fields are torsion free. (English) Zbl 07496894 Acta Arith. 202, No. 1, 21-28 (2022). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11F80 11N36 PDF BibTeX XML Cite \textit{T. Phillips}, Acta Arith. 202, No. 1, 21--28 (2022; Zbl 07496894) Full Text: DOI OpenURL
Liu, Yifeng; Tian, Yichao; Xiao, Liang; Zhang, Wei; Zhu, Xinwen On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives. (English) Zbl 07495375 Invent. Math. 228, No. 1, 107-375 (2022). MSC: 11G05 11G18 11G40 11R34 PDF BibTeX XML Cite \textit{Y. Liu} et al., Invent. Math. 228, No. 1, 107--375 (2022; Zbl 07495375) Full Text: DOI OpenURL
Koshelev, Dmitrii Indifferentiable hashing to ordinary elliptic \(\mathbb{F}_{q} \)-curves of \(j=0\) with the cost of one exponentiation in \(\mathbb{F}_{q} \). (English) Zbl 1483.14048 Des. Codes Cryptography 90, No. 3, 801-812 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14G50 14H52 14Q20 PDF BibTeX XML Cite \textit{D. Koshelev}, Des. Codes Cryptography 90, No. 3, 801--812 (2022; Zbl 1483.14048) Full Text: DOI OpenURL
Eremenko, Alexandre; Gabrielov, Andrei; Mondello, Gabriele; Panov, Dmitri Moduli spaces for Lamé functions and abelian differentials of the second kind. (English) Zbl 07493080 Commun. Contemp. Math. 24, No. 2, Article ID 2150028, 68 p. (2022). MSC: 14H15 33E10 30F30 57M50 PDF BibTeX XML Cite \textit{A. Eremenko} et al., Commun. Contemp. Math. 24, No. 2, Article ID 2150028, 68 p. (2022; Zbl 07493080) Full Text: DOI arXiv OpenURL
Kazalicki, Matija; Naskręcki, Bartosz Diophantine triples and K3 surfaces. (English) Zbl 07493015 J. Number Theory 236, 41-70 (2022). MSC: 14H52 14J28 11D09 11G05 PDF BibTeX XML Cite \textit{M. Kazalicki} and \textit{B. Naskręcki}, J. Number Theory 236, 41--70 (2022; Zbl 07493015) Full Text: DOI arXiv OpenURL
Lagheliel, Saida; Chillali, Abdelhakim; Mokhtar, Ahmed Ait New encryption scheme using \(k\)-Fibonacci-like sequence. (English) Zbl 07490799 Asian-Eur. J. Math. 15, No. 2, Article ID 2250037, 10 p. (2022). MSC: 11T71 11B39 94A60 11G05 PDF BibTeX XML Cite \textit{S. Lagheliel} et al., Asian-Eur. J. Math. 15, No. 2, Article ID 2250037, 10 p. (2022; Zbl 07490799) Full Text: DOI OpenURL
Ďuriš, Viliam; Šumný, Timotej Number of rational points of elliptic curves. (English) Zbl 07490779 Asian-Eur. J. Math. 15, No. 1, Article ID 2250017, 11 p. (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G05 14G05 11H06 PDF BibTeX XML Cite \textit{V. Ďuriš} and \textit{T. Šumný}, Asian-Eur. J. Math. 15, No. 1, Article ID 2250017, 11 p. (2022; Zbl 07490779) Full Text: DOI OpenURL
Amir, Malik; Hong, Letong On \(L\)-functions of modular elliptic curves and certain \(K3\) surfaces. (English) Zbl 07490457 Ramanujan J. 57, No. 3, 1001-1019 (2022). MSC: 11F11 11G05 11G40 11B39 PDF BibTeX XML Cite \textit{M. Amir} and \textit{L. Hong}, Ramanujan J. 57, No. 3, 1001--1019 (2022; Zbl 07490457) Full Text: DOI arXiv OpenURL
Hatley, Jeffrey; Lei, Antonio; Vigni, Stefano \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves. (English) Zbl 07489549 Manuscr. Math. 167, No. 3-4, 589-612 (2022). MSC: 11R23 11G05 11R20 PDF BibTeX XML Cite \textit{J. Hatley} et al., Manuscr. Math. 167, No. 3--4, 589--612 (2022; Zbl 07489549) Full Text: DOI arXiv OpenURL
Berg, Jennifer; Nakahara, Masahiro Rational points on conic bundles over elliptic curves. (English) Zbl 07489515 Math. Z. 300, No. 3, 2429-2449 (2022). MSC: 14G05 14F22 11G05 PDF BibTeX XML Cite \textit{J. Berg} and \textit{M. Nakahara}, Math. Z. 300, No. 3, 2429--2449 (2022; Zbl 07489515) Full Text: DOI arXiv OpenURL
Dujella, Andrej; Soydan, Gökhan On elliptic curves induced by rational Diophantine quadruples. (English) Zbl 07488520 Proc. Japan Acad., Ser. A 98, No. 1, 1-6 (2022). MSC: 11G05 PDF BibTeX XML Cite \textit{A. Dujella} and \textit{G. Soydan}, Proc. Japan Acad., Ser. A 98, No. 1, 1--6 (2022; Zbl 07488520) Full Text: DOI arXiv Link OpenURL
Lei, Antonio; Lim, Meng Fai Mordell-Weil ranks and Tate-Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions. (English) Zbl 07488466 Int. J. Number Theory 18, No. 2, 303-330 (2022). MSC: 11R23 11F11 11R20 PDF BibTeX XML Cite \textit{A. Lei} and \textit{M. F. Lim}, Int. J. Number Theory 18, No. 2, 303--330 (2022; Zbl 07488466) Full Text: DOI arXiv OpenURL
Michaud-Rodgers, Philippe Quadratic points on non-split Cartan modular curves. (English) Zbl 07488463 Int. J. Number Theory 18, No. 2, 245-267 (2022). MSC: 11G05 11G18 14G05 PDF BibTeX XML Cite \textit{P. Michaud-Rodgers}, Int. J. Number Theory 18, No. 2, 245--267 (2022; Zbl 07488463) Full Text: DOI arXiv OpenURL
Yin, Hongbo On the 8 case of the Sylvester conjecture. (English) Zbl 07487607 Trans. Am. Math. Soc. 375, No. 4, 2705-2728 (2022). MSC: 11G05 PDF BibTeX XML Cite \textit{H. Yin}, Trans. Am. Math. Soc. 375, No. 4, 2705--2728 (2022; Zbl 07487607) Full Text: DOI arXiv OpenURL
Kleinjung, Thorsten; Wesolowski, Benjamin Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic. (English) Zbl 07485052 J. Am. Math. Soc. 35, No. 2, 581-624 (2022). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y16 14H52 11T71 PDF BibTeX XML Cite \textit{T. Kleinjung} and \textit{B. Wesolowski}, J. Am. Math. Soc. 35, No. 2, 581--624 (2022; Zbl 07485052) Full Text: DOI arXiv OpenURL
Ayano, Takanori; Buchstaber, Victor M. Relationships between hyperelliptic functions of genus 2 and elliptic functions. (English) Zbl 1481.14057 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 010, 30 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H40 14H42 14K25 32A20 33E05 PDF BibTeX XML Cite \textit{T. Ayano} and \textit{V. M. Buchstaber}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 010, 30 p. (2022; Zbl 1481.14057) Full Text: DOI arXiv OpenURL
Bertolini, Massimo; Darmon, Henri; Venerucci, Rodolfo Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou. (English) Zbl 07483895 Adv. Math. 398, Article ID 108172, 50 p. (2022). MSC: 11F67 11G40 11G35 PDF BibTeX XML Cite \textit{M. Bertolini} et al., Adv. Math. 398, Article ID 108172, 50 p. (2022; Zbl 07483895) Full Text: DOI OpenURL
Kamel, Alwaleed; Saleem, Mohammed A.; Elshareef, Waleed K. Group generated by total sextactic points of a family of quartic curves. (English) Zbl 07482349 Commun. Algebra 50, No. 3, 1342-1362 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 14H45 PDF BibTeX XML Cite \textit{A. Kamel} et al., Commun. Algebra 50, No. 3, 1342--1362 (2022; Zbl 07482349) Full Text: DOI OpenURL
Kundu, Debanjana; Lei, Antonio; Ray, Anwesh Arithmetic statistics and noncommutative Iwasawa theory. (English) Zbl 07482152 Doc. Math. 27, 89-149 (2022). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{D. Kundu} et al., Doc. Math. 27, 89--149 (2022; Zbl 07482152) Full Text: DOI arXiv OpenURL
Dražić, Goran; Kazalicki, Matija Rational \(D(q)\)-quadruples. (English) Zbl 07478450 Indag. Math., New Ser. 33, No. 2, 440-449 (2022). MSC: 11D09 11G05 PDF BibTeX XML Cite \textit{G. Dražić} and \textit{M. Kazalicki}, Indag. Math., New Ser. 33, No. 2, 440--449 (2022; Zbl 07478450) Full Text: DOI arXiv OpenURL
Ahmadi, Mahnaz; Janfada, Ali S. On quartic Diophantine equations with trivial solutions in the Gaussian integer. (English) Zbl 07477347 Int. Electron. J. Algebra 31, 134-142 (2022). Reviewer: István Gaál (Debrecen) MSC: 11D25 11G05 11D45 PDF BibTeX XML Cite \textit{M. Ahmadi} and \textit{A. S. Janfada}, Int. Electron. J. Algebra 31, 134--142 (2022; Zbl 07477347) Full Text: DOI OpenURL
Slob, Robert Primitive divisors of sequences associated to elliptic curves over function fields. (English) Zbl 07474315 New York J. Math. 28, 230-249 (2022). MSC: 14H52 11G05 11B83 14H05 14J27 PDF BibTeX XML Cite \textit{R. Slob}, New York J. Math. 28, 230--249 (2022; Zbl 07474315) Full Text: arXiv Link OpenURL
Jones, Nathan; McMurdy, Ken Elliptic curves with non-abelian entanglements. (English) Zbl 07474314 New York J. Math. 28, 182-229 (2022). MSC: 11G05 11F80 PDF BibTeX XML Cite \textit{N. Jones} and \textit{K. McMurdy}, New York J. Math. 28, 182--229 (2022; Zbl 07474314) Full Text: arXiv Link OpenURL
Chen, Dandan; Chen, Rong On decomposition of \(\theta_2^{2n}(\tau)\) as the sum of Eisenstein series and cusp forms. (English) Zbl 07472664 Ramanujan J. 57, No. 2, 583-615 (2022). MSC: 33E05 14H42 11M36 PDF BibTeX XML Cite \textit{D. Chen} and \textit{R. Chen}, Ramanujan J. 57, No. 2, 583--615 (2022; Zbl 07472664) Full Text: DOI arXiv OpenURL
Freitas, Nuno; Kraus, Alain; Siksek, Samir On asymptotic Fermat over the \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}\). (Le théorème de Fermat asymptotique sur la \(\mathbb{Z}_2\)-extension de \(\mathbb{Q}\).) (English. French summary) Zbl 07472233 Ann. Math. Blaise Pascal 28, No. 1, 1-6 (2022). MSC: 11D41 11F80 11G05 PDF BibTeX XML Cite \textit{N. Freitas} et al., Ann. Math. Blaise Pascal 28, No. 1, 1--6 (2022; Zbl 07472233) Full Text: DOI arXiv OpenURL
Castella, Francesc; Grossi, Giada; Lee, Jaehoon; Skinner, Christopher On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes. (English) Zbl 07470587 Invent. Math. 227, No. 2, 517-580 (2022). MSC: 11G40 11R23 11G05 11S40 PDF BibTeX XML Cite \textit{F. Castella} et al., Invent. Math. 227, No. 2, 517--580 (2022; Zbl 07470587) Full Text: DOI arXiv OpenURL
Sprung, Florian Ito Chromatic Selmer groups and arithmetic invariants of elliptic curves. (English. French summary) Zbl 07469027 J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1103-1114 (2022). MSC: 11G40 11R23 14H52 PDF BibTeX XML Cite \textit{F. I. Sprung}, J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1103--1114 (2022; Zbl 07469027) Full Text: DOI OpenURL
Lei, Antonio; Lim, Meng Fai Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\). (English. French summary) Zbl 07469022 J. Théor. Nombres Bordx. 33, No. 3, Part 2, 997-1019 (2022). MSC: 11G05 11R23 PDF BibTeX XML Cite \textit{A. Lei} and \textit{M. F. Lim}, J. Théor. Nombres Bordx. 33, No. 3, Part 2, 997--1019 (2022; Zbl 07469022) Full Text: DOI arXiv OpenURL
Kezuka, Yukako Tamagawa number divisibility of central \(L\)-values of twists of the Fermat elliptic curve. (English. French summary) Zbl 07469020 J. Théor. Nombres Bordx. 33, No. 3, Part 2, 945-970 (2022). MSC: 11G05 14H52 11R23 PDF BibTeX XML Cite \textit{Y. Kezuka}, J. Théor. Nombres Bordx. 33, No. 3, Part 2, 945--970 (2022; Zbl 07469020) Full Text: DOI arXiv OpenURL
Hamidi, Parham; Ray, Jishnu Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves. (English. French summary) Zbl 07469018 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 853-886 (2022). MSC: 11G40 11R23 14H52 PDF BibTeX XML Cite \textit{P. Hamidi} and \textit{J. Ray}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 853--886 (2022; Zbl 07469018) Full Text: DOI arXiv OpenURL
Gatti, Francesca; Guitart, Xavier; Masdeu, Marc; Rotger, Victor Special values of triple-product \(p\)-adic L-functions and non-crystalline diagonal classes. (English. French summary) Zbl 07469016 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 809-834 (2022). MSC: 11G40 11F85 PDF BibTeX XML Cite \textit{F. Gatti} et al., J. Théor. Nombres Bordx. 33, No. 3, Part 1, 809--834 (2022; Zbl 07469016) Full Text: DOI arXiv OpenURL
Agboola, Adebisi; Castella, Francesc On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture. (English. French summary) Zbl 07469011 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 629-658 (2022). MSC: 11G05 11R23 11G16 PDF BibTeX XML Cite \textit{A. Agboola} and \textit{F. Castella}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 629--658 (2022; Zbl 07469011) Full Text: DOI arXiv OpenURL
Dofs, Erik; Nguyen Xuan Tho The equation \(\frac{x_1}{x_2}+\frac{x_2}{x_3}+\frac{x_3}{x_4}+\frac{x_4}{x_1}=n\). (English) Zbl 07468300 Int. J. Number Theory 18, No. 1, 75-87 (2022). MSC: 11D72 11D68 PDF BibTeX XML Cite \textit{E. Dofs} and \textit{Nguyen Xuan Tho}, Int. J. Number Theory 18, No. 1, 75--87 (2022; Zbl 07468300) Full Text: DOI OpenURL
Bannai, S.; Kawana, N.; Masuya, R.; Tokunaga, H. Trisections on certain rational elliptic surfaces and families of Zariski pairs degenerating to the same conic-line arrangement. (English) Zbl 1479.14043 Geom. Dedicata 216, No. 1, Paper No. 8, 23 p. (2022). Reviewer: Piotr Pokora (Kraków) MSC: 14J27 14D06 14Q05 13P10 14N20 PDF BibTeX XML Cite \textit{S. Bannai} et al., Geom. Dedicata 216, No. 1, Paper No. 8, 23 p. (2022; Zbl 1479.14043) Full Text: DOI arXiv OpenURL
Trbović, Antonela Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny. (English) Zbl 07466543 J. Number Theory 234, 74-94 (2022). MSC: 11-XX PDF BibTeX XML Cite \textit{A. Trbović}, J. Number Theory 234, 74--94 (2022; Zbl 07466543) Full Text: DOI arXiv OpenURL
Moerman, Boaz \(L\)-values for conductor 32. (English) Zbl 07466540 J. Number Theory 234, 1-30 (2022). Reviewer: François Brunault (Lyon) MSC: 11F67 11F03 11F20 14H52 33E05 PDF BibTeX XML Cite \textit{B. Moerman}, J. Number Theory 234, 1--30 (2022; Zbl 07466540) Full Text: DOI arXiv OpenURL
Duc Hiep Pham Elliptic curves and \(p\)-adic elliptic transcendence. (English) Zbl 07461965 Bull. Aust. Math. Soc. 105, No. 1, 31-36 (2022). MSC: 14H52 11J89 11G07 11S99 PDF BibTeX XML Cite \textit{Duc Hiep Pham}, Bull. Aust. Math. Soc. 105, No. 1, 31--36 (2022; Zbl 07461965) Full Text: DOI OpenURL
He, Yang-Hui; Lee, Kyu-Hwan; Oliver, Thomas Machine-learning the Sato-Tate conjecture. (English) Zbl 1483.11133 J. Symb. Comput. 111, 61-72 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G40 11G30 11Y99 14G10 68T05 PDF BibTeX XML Cite \textit{Y.-H. He} et al., J. Symb. Comput. 111, 61--72 (2022; Zbl 1483.11133) Full Text: DOI arXiv OpenURL
Hu, Zhi; Liu, Zhe; Wang, Lin; Zhou, Zijian Simplified isogeny formulas on twisted Jacobi quartic curves. (English) Zbl 07457369 Finite Fields Appl. 78, Article ID 101981, 17 p. (2022). MSC: 14H52 14K02 94A60 PDF BibTeX XML Cite \textit{Z. Hu} et al., Finite Fields Appl. 78, Article ID 101981, 17 p. (2022; Zbl 07457369) Full Text: DOI OpenURL
Corvaja, Pietro; Demeio, Julian; Masser, David; Zannier, Umberto On the torsion values for sections of an elliptic scheme. (English) Zbl 07456562 J. Reine Angew. Math. 782, 1-41 (2022). Reviewer: Matthias Schütt (Hannover) MSC: 14K15 11G50 11J68 11G05 11J99 PDF BibTeX XML Cite \textit{P. Corvaja} et al., J. Reine Angew. Math. 782, 1--41 (2022; Zbl 07456562) Full Text: DOI arXiv OpenURL
Petit, Valentin Non-divisible point on a two-parameter family of elliptic curves. (English) Zbl 07456314 Res. Number Theory 8, No. 1, Paper No. 6, 16 p. (2022). Reviewer: Andrej Dujella (Zagreb) MSC: 11G05 11G50 PDF BibTeX XML Cite \textit{V. Petit}, Res. Number Theory 8, No. 1, Paper No. 6, 16 p. (2022; Zbl 07456314) Full Text: DOI arXiv OpenURL
Barrios, Alexander J. Minimal models of rational elliptic curves with non-trivial torsion. (English) Zbl 07456312 Res. Number Theory 8, No. 1, Paper No. 4, 39 p. (2022). Reviewer: José María Tornero (Sevilla) MSC: 11G05 11G07 PDF BibTeX XML Cite \textit{A. J. Barrios}, Res. Number Theory 8, No. 1, Paper No. 4, 39 p. (2022; Zbl 07456312) Full Text: DOI arXiv OpenURL
Pries, Rachel; Ulmer, Douglas Every \(BT_1\) group scheme appears in a Jacobian. (English) Zbl 1483.14054 Proc. Am. Math. Soc. 150, No. 2, 525-537 (2022). Reviewer: Noriko Yui (Kingston) MSC: 14H40 11G05 11D41 11G20 14F40 14K20 14L15 14K10 14K15 14L05 11G18 PDF BibTeX XML Cite \textit{R. Pries} and \textit{D. Ulmer}, Proc. Am. Math. Soc. 150, No. 2, 525--537 (2022; Zbl 1483.14054) Full Text: DOI arXiv OpenURL
Blum, Talia; Choi, Caroline; Hoey, Alexandra; Iskander, Jonas; Lakein, Kaya; Martinez, Thomas C. On class numbers, Torsion subgroups, and quadratic twists of elliptic curves. (English) Zbl 07453321 Trans. Am. Math. Soc. 375, No. 1, 351-368 (2022). MSC: 11R29 11G05 PDF BibTeX XML Cite \textit{T. Blum} et al., Trans. Am. Math. Soc. 375, No. 1, 351--368 (2022; Zbl 07453321) Full Text: DOI arXiv OpenURL
Halbeisen, Lorenz; Hungerbühler, Norbert Pairing Pythagorean pairs. (English) Zbl 07452408 J. Number Theory 233, 467-480 (2022). MSC: 11D72 11G05 PDF BibTeX XML Cite \textit{L. Halbeisen} and \textit{N. Hungerbühler}, J. Number Theory 233, 467--480 (2022; Zbl 07452408) Full Text: DOI arXiv OpenURL
González, Josep On the \(p\)-th division polynomial. (English) Zbl 07452400 J. Number Theory 233, 285-300 (2022). MSC: 11F03 14H52 PDF BibTeX XML Cite \textit{J. González}, J. Number Theory 233, 285--300 (2022; Zbl 07452400) Full Text: DOI OpenURL
Roy, Manami Paramodular forms coming from elliptic curves. (English) Zbl 07452395 J. Number Theory 233, 126-157 (2022). MSC: 11F46 11F70 14H52 11G07 PDF BibTeX XML Cite \textit{M. Roy}, J. Number Theory 233, 126--157 (2022; Zbl 07452395) Full Text: DOI arXiv OpenURL
Jorgenson, Jay; Smajlović, Lejla; Then, Holger An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative. (English) Zbl 07446419 Math. Comput. 91, No. 333, 331-379 (2022). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R37 11R29 11G05 PDF BibTeX XML Cite \textit{J. Jorgenson} et al., Math. Comput. 91, No. 333, 331--379 (2022; Zbl 07446419) Full Text: DOI OpenURL
Nguyen Xuan Tho On a Diophantine equation. (English) Zbl 1478.11050 Vietnam J. Math. 50, No. 1, 183-194 (2022). MSC: 11D68 11G05 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Vietnam J. Math. 50, No. 1, 183--194 (2022; Zbl 1478.11050) Full Text: DOI OpenURL
Battagliola, Michele; Longo, Riccardo; Meneghetti, Alessio; Sala, Massimiliano Threshold ECDSA with an offline recovery party. (English) Zbl 1478.94105 Mediterr. J. Math. 19, No. 1, Paper No. 4, 29 p. (2022). MSC: 94A60 94A62 12E20 14H52 68W40 PDF BibTeX XML Cite \textit{M. Battagliola} et al., Mediterr. J. Math. 19, No. 1, Paper No. 4, 29 p. (2022; Zbl 1478.94105) Full Text: DOI arXiv OpenURL
Chien, Mao-Ting; Nakazato, Hiroshi Inverse numerical range and Abel-Jacobi map of Hermitian determinantal representation. (English) Zbl 07432149 Linear Algebra Appl. 633, 227-243 (2022). MSC: 15A60 47A12 15B57 14H52 PDF BibTeX XML Cite \textit{M.-T. Chien} and \textit{H. Nakazato}, Linear Algebra Appl. 633, 227--243 (2022; Zbl 07432149) Full Text: DOI OpenURL
Basso, Andrea; Pazuki, Fabien On the supersingular GPST attack. (English) Zbl 1478.14052 J. Math. Cryptol. 16, 14-19 (2022). Reviewer: Manjit Singh (Murthal) MSC: 14H52 14K02 11T71 94A60 81P94 PDF BibTeX XML Cite \textit{A. Basso} and \textit{F. Pazuki}, J. Math. Cryptol. 16, 14--19 (2022; Zbl 1478.14052) Full Text: DOI arXiv OpenURL
Dražić, Goran Rational \(D(q)\)-quintuples. (English) Zbl 1483.11051 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 9, 18 p. (2022). MSC: 11D09 11G05 PDF BibTeX XML Cite \textit{G. Dražić}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 9, 18 p. (2022; Zbl 1483.11051) Full Text: DOI arXiv OpenURL
Schröer, Stefan Elliptic curves over the rational numbers with semi-abelian reduction and two-division points. (English) Zbl 07419370 J. Number Theory 231, 80-101 (2022). MSC: 14H52 14G05 14G25 PDF BibTeX XML Cite \textit{S. Schröer}, J. Number Theory 231, 80--101 (2022; Zbl 07419370) Full Text: DOI arXiv OpenURL
Byeon, Dongho; Kim, Jigu Class numbers of real quadratic fields. (English) Zbl 07419368 J. Number Theory 231, 1-47 (2022). MSC: 11R29 11G40 11G05 11R11 PDF BibTeX XML Cite \textit{D. Byeon} and \textit{J. Kim}, J. Number Theory 231, 1--47 (2022; Zbl 07419368) Full Text: DOI OpenURL
Burungale, Ashay; Tian, Ye The even parity Goldfeld conjecture: congruent number elliptic curves. (English) Zbl 07412719 J. Number Theory 230, 161-195 (2022). Reviewer: Riccardo Pengo (Lyon) MSC: 11G05 11G40 PDF BibTeX XML Cite \textit{A. Burungale} and \textit{Y. Tian}, J. Number Theory 230, 161--195 (2022; Zbl 07412719) Full Text: DOI arXiv OpenURL
Salami, Sajad; Zargar, Arman Shamsi Families of cubic elliptic curves containing sequences of consecutive powers. (English) Zbl 07524106 Rocky Mt. J. Math. 51, No. 5, 1833-1845 (2021). MSC: 11G05 PDF BibTeX XML Cite \textit{S. Salami} and \textit{A. S. Zargar}, Rocky Mt. J. Math. 51, No. 5, 1833--1845 (2021; Zbl 07524106) Full Text: DOI Link OpenURL
Kim, Shin-Wook Ranks in some elliptic curves \(y^2 = x^3 \pm Apx\). (English) Zbl 07523033 JP J. Algebra Number Theory Appl. 51, No. 2, 223-248 (2021). MSC: 11A41 11G05 PDF BibTeX XML Cite \textit{S.-W. Kim}, JP J. Algebra Number Theory Appl. 51, No. 2, 223--248 (2021; Zbl 07523033) Full Text: DOI OpenURL
Djerassem, Laurent; Tieudjo, Daniel; Tonga, Marcel A congruence property of Fourier coefficients for modular forms. (English) Zbl 07523002 JP J. Algebra Number Theory Appl. 50, No. 1, 1-17 (2021). MSC: 14H52 11G05 11G07 PDF BibTeX XML Cite \textit{L. Djerassem} et al., JP J. Algebra Number Theory Appl. 50, No. 1, 1--17 (2021; Zbl 07523002) Full Text: DOI OpenURL
Kim, Shin-Wook At least rank 2 in several elliptic curves. (English) Zbl 07522998 JP J. Algebra Number Theory Appl. 49, No. 2, 139-155 (2021). MSC: 11A41 11G05 PDF BibTeX XML Cite \textit{S.-W. Kim}, JP J. Algebra Number Theory Appl. 49, No. 2, 139--155 (2021; Zbl 07522998) Full Text: DOI OpenURL
de Quehen, Victoria; Kutas, Péter; Leonardi, Chris; Martindale, Chloe; Panny, Lorenz; Petit, Christophe; Stange, Katherine E. Improved torsion-point attacks on SIDH variants. (English) Zbl 07512107 Malkin, Tal (ed.) et al., Advances in cryptology – CRYPTO 2021. 41st annual international cryptology conference, CRYPTO 2021, virtual event, August 16–20, 2021. Proceedings. Part III. Cham: Springer. Lect. Notes Comput. Sci. 12827, 432-470 (2021). MSC: 94A60 81P94 11G20 14H52 11G07 PDF BibTeX XML Cite \textit{V. de Quehen} et al., Lect. Notes Comput. Sci. 12827, 432--470 (2021; Zbl 07512107) Full Text: DOI OpenURL
Koshelev, D. I. Faster point compression for elliptic curves of \(j\)-invariant 0. (English) Zbl 07511189 Mat. Vopr. Kriptografii 12, No. 4, 115-123 (2021). MSC: 11T71 94A60 PDF BibTeX XML Cite \textit{D. I. Koshelev}, Mat. Vopr. Kriptografii 12, No. 4, 115--123 (2021; Zbl 07511189) Full Text: DOI MNR OpenURL
Ibrahim, Saleh; Abbas, Alaa M. Efficient key-dependent dynamic S-boxes based on permutated elliptic curves. (English) Zbl 07510170 Inf. Sci. 558, 246-264 (2021). MSC: 94A60 14G50 11G05 PDF BibTeX XML Cite \textit{S. Ibrahim} and \textit{A. M. Abbas}, Inf. Sci. 558, 246--264 (2021; Zbl 07510170) Full Text: DOI OpenURL
Gao, Hongliang; Xu, Jing Bifurcation curves and exact multiplicity of positive solutions for Dirichlet problems with the Minkowski-curvature equation. (English) Zbl 07509925 Bound. Value Probl. 2021, Paper No. 81, 10 p. (2021). MSC: 35J93 34B18 PDF BibTeX XML Cite \textit{H. Gao} and \textit{J. Xu}, Bound. Value Probl. 2021, Paper No. 81, 10 p. (2021; Zbl 07509925) Full Text: DOI OpenURL
Jeong, Keunyoung; Kim, Jigu; Kim, Taekyung Distribution of root numbers of Hecke characters attached to some elliptic curves. (English) Zbl 07509472 Forum Math. 33, No. 3, 653-668 (2021). MSC: 11G05 11G15 11N69 PDF BibTeX XML Cite \textit{K. Jeong} et al., Forum Math. 33, No. 3, 653--668 (2021; Zbl 07509472) Full Text: DOI OpenURL
Koshelev, Dmitrii Hashing to elliptic curves of \(j\)-invariant 1728. (English) Zbl 07502001 Cryptogr. Commun. 13, No. 4, 479-494 (2021). MSC: 14E05 14G15 14G50 14Q20 14K02 14H52 PDF BibTeX XML Cite \textit{D. Koshelev}, Cryptogr. Commun. 13, No. 4, 479--494 (2021; Zbl 07502001) Full Text: DOI OpenURL
Lavrinenko, Tat’yana Alekseevna; Belyaev, Alekseĭ Aleksandrovich From the algebraic methods of Diophantus-Fermats-Euler to the arithmetic of algebraic curves: about the history of Diophantine equations after Euler. (Russian. English summary) Zbl 07499730 Chebyshevskiĭ Sb. 22, No. 3(79), 383-404 (2021). Reviewer: Roman Murawski (Poznań) MSC: 01A50 01A55 11-03 PDF BibTeX XML Cite \textit{T. A. Lavrinenko} and \textit{A. A. Belyaev}, Chebyshevskiĭ Sb. 22, No. 3(79), 383--404 (2021; Zbl 07499730) Full Text: DOI MNR OpenURL
Cheng, Hao; Großschädl, Johann; Tian, Jiaqi; Rønne, Peter B.; Ryan, Peter Y. A. High-throughput elliptic curve cryptography using AVX2 vector instructions. (English) Zbl 07498240 Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 698-719 (2021). MSC: 94A60 11G20 11G07 14G50 PDF BibTeX XML Cite \textit{H. Cheng} et al., Lect. Notes Comput. Sci. 12804, 698--719 (2021; Zbl 07498240) Full Text: DOI OpenURL
Kutas, Péter; Petit, Christophe; Silva, Javier Trapdoor DDH groups from pairings and isogenies. (English) Zbl 07498230 Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 431-450 (2021). MSC: 94A60 11G07 14G50 PDF BibTeX XML Cite \textit{P. Kutas} et al., Lect. Notes Comput. Sci. 12804, 431--450 (2021; Zbl 07498230) Full Text: DOI OpenURL
Galbraith, Steven D.; Granger, Robert; Merz, Simon-Philipp; Petit, Christophe On index calculus algorithms for subfield curves. (English) Zbl 07498218 Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 115-138 (2021). MSC: 94A60 11G07 14G50 PDF BibTeX XML Cite \textit{S. D. Galbraith} et al., Lect. Notes Comput. Sci. 12804, 115--138 (2021; Zbl 07498218) Full Text: DOI OpenURL
Hashimoto, Yuji; Nuida, Koji Improved supersingularity testing of elliptic curves using Legendre form. (English) Zbl 07497952 Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 121-135 (2021). MSC: 68W30 PDF BibTeX XML Cite \textit{Y. Hashimoto} and \textit{K. Nuida}, Lect. Notes Comput. Sci. 12865, 121--135 (2021; Zbl 07497952) Full Text: DOI OpenURL
Lim, Meng Fai On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions. (English) Zbl 1483.11115 Tokyo J. Math. 44, No. 2, 477-494 (2021). MSC: 11G05 11R23 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Tokyo J. Math. 44, No. 2, 477--494 (2021; Zbl 1483.11115) Full Text: DOI OpenURL
Nguyen Xuan Tho What positive integers \(n\) can be presented in the form \(n=(x+y+z)(1/x+1/y+1/z)\)? (English) Zbl 07493387 Ann. Math. Inform. 54, 141-146 (2021). MSC: 11D25 11G05 11D88 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Ann. Math. Inform. 54, 141--146 (2021; Zbl 07493387) Full Text: DOI OpenURL