Debarre, Olivier; Mongardi, Giovanni Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold. (English) Zbl 1502.14037 Boll. Unione Mat. Ital. 15, No. 1-2, 133-161 (2022). Reviewer: Annalisa Grossi (Chemnitz) MSC: 14E08 14J45 14J42 14J30 14J35 14J40 14J50 14K22 14K30 14C25 14H52 14J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aka, Menny; Luethi, Manuel; Michel, Philippe; Wieser, Andreas Simultaneous supersingular reductions of CM elliptic curves. (English) Zbl 1536.11083 J. Reine Angew. Math. 786, 1-43 (2022). Reviewer: Nikolaj M. Glazunov (Sofia) MSC: 11G05 11G15 37A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Babinkostova, Liljana; Hernández-Espiet, A.; Kim, H. Y. On types of elliptic pseudoprimes. (English) Zbl 07875709 J. Groups Complex. Cryptol. 13, No. 1, Paper No. 1, 33 p. (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y11 11G07 11G20 14K22 11N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Babinkostova, Liljana; Fillmore, Dylan; Lamkin, Philip; Lin, Alice; Yost-Wolff, Calvin L. Strongly nonzero points and elliptic pseudoprimes. (English) Zbl 1465.11190 Involve 14, No. 1, 65-88 (2021). MSC: 11N25 11G07 11G20 14H52 14K22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barquero-Sanchez, Adrian; Cadwallader, Lindsay; Cannon, Olivia; Genao, Tyler; Masri, Riad Faltings heights of CM elliptic curves and special gamma values. (English) Zbl 1405.11081 Res. Number Theory 3, Paper No. 13, 16 p. (2017). MSC: 11G15 11G50 14K22 × Cite Format Result Cite Review PDF Full Text: DOI
Bourdon, Abbey; Clark, Pete L.; Pollack, Paul Anatomy of torsion in the CM case. (English) Zbl 1422.11139 Math. Z. 285, No. 3-4, 795-820 (2017). MSC: 11G15 11G05 11N25 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bannai, Kenichi; Furusho, Hidekazu; Kobayashi, Shinichi \(p\)-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas. (English) Zbl 1336.11050 Nagoya Math. J. 219, 269-302 (2015). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G55 11G07 11G15 14F30 14G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Huang, Hsiu-Lien The average number of torsion points on elliptic curves. (English) Zbl 1373.11047 J. Number Theory 135, 374-389 (2014). MSC: 11G05 11N45 11G15 × Cite Format Result Cite Review PDF Full Text: DOI
Kani, Ernst Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms. (English) Zbl 1356.11030 J. Number Theory 139, 138-174 (2014). Reviewer: Vladimir L. Popov (Moskva) MSC: 11G05 11G10 11G15 11E76 14H40 × Cite Format Result Cite Review PDF Full Text: DOI
Besser, Amnon; Livné, Ron Universal Kummer families over Shimura curves. (English) Zbl 1310.14039 Laza, Radu (ed.) et al., Arithmetic and geometry of \(K3\) surfaces and Calabi-Yau threefolds. Proceedings of the workshop, Toronto, Canada, August 16–25, 2011. New York, NY: Springer (ISBN 978-1-4614-6402-0/hbk; 978-1-4614-6403-7/ebook). Fields Institute Communications 67, 201-265 (2013). Reviewer: Paola Comparin (Consepción) MSC: 14J28 14J27 14J15 14K02 14K10 11G10 11G15 11F32 × Cite Format Result Cite Review PDF Full Text: DOI
Bannai, Kenichi; Kobayashi, Shinichi; Tsuji, Takeshi On the de Rham and \(p\)-adic realizations of the elliptic polylogarithm for CM elliptic curves. (English) Zbl 1197.11073 Ann. Sci. Éc. Norm. Supér. (4) 43, No. 2, 185-234 (2010). Reviewer: Oliver Petras (Bonn) MSC: 11G55 11G05 11G15 14F30 11G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bannai, Kenichi; Kobayashi, Shinichi; Tsuji, Takeshi Realizations of the elliptic polylogarithm for CM elliptic curves. (English) Zbl 1197.11072 RIMS Kôkyûroku Bessatsu B12, 33-50 (2009). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G55 11G07 11G15 14F30 14G10 × Cite Format Result Cite Review PDF
Bertin, Marie José Mahler’s measure: from number theory to geometry. (English) Zbl 1266.11081 McKee, James (ed.) et al., Number theory and polynomials. Proceedings of the workshop, Bristol, UK, April 3–7, 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-71467-9/pbk). London Mathematical Society Lecture Note Series 352, 20-32 (2008). MSC: 11G55 11G05 11G15 11G40 14J28 × Cite Format Result Cite Review PDF Full Text: DOI
Boukraa, Salah; Hassani, Saoud; Maillard, Jean-Marie; Zenine, Nadjah From holonomy of the Ising model form factors to \(n\)-fold integrals and the theory of elliptic curves. (English) Zbl 1137.34040 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 099, 43 p. (2007). MSC: 34M55 47E05 32G34 34Lxx 34Kxx 14H52 81T27 33E20 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Frey, Gerhard; Jarden, Moshe On the number of elliptic curves with CM over large algebraic fields. (English) Zbl 1090.11036 Ann. Inst. Fourier 55, No. 7, 2361-2374 (2005). Reviewer: Manouchehr Misaghian (Charlotte) MSC: 11G05 12E30 14H52 14K22 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Manin, Yu. I. Real multiplication and noncommutative geometry (ein Alterstraum). (English) Zbl 1091.11022 Laudal, Olav Arnfinn (ed.) et al., The legacy of Niels Henrik Abel. Papers from the Abel bicentennial conference, University of Oslo, Oslo, Norway, June 3–8, 2002. Berlin: Springer (ISBN 3-540-43826-2/hbk). 685-727 (2004). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 11M55 11G15 58B34 11R37 11R42 46L89 × Cite Format Result Cite Review PDF
Bannai, Kenichi On the \(p\)-adic realization of elliptic polylogarithms for CM-elliptic curves. (English) Zbl 1019.11018 Duke Math. J. 113, No. 2, 193-236 (2002). Reviewer: Horst G.Zimmer (Saarbrücken) MSC: 11G55 11G05 11G15 14F30 14G10 11R23 11G07 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Kings, Guido The Tamagawa number conjecture for CM elliptic curves. (English) Zbl 1159.11311 Invent. Math. 143, No. 3, 571-627 (2001). Reviewer: Werner Kleinert (Berlin) MSC: 11G40 11G05 11G55 11G10 11G15 14F30 14G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guerzhoy, P. On a conjecture of Kohnen. (English) Zbl 0972.11040 Math. Ann. 319, No. 1, 65-73 (2001). Reviewer: Taro Horie (Shiroko) MSC: 11F67 11F85 11F33 11G15 × Cite Format Result Cite Review PDF Full Text: DOI
Gusić, Ivica On isogenies of elliptic curves. (English) Zbl 1003.11022 Glas. Mat., III. Ser. 35, No. 2, 335-337 (2000). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 11G05 14H52 × Cite Format Result Cite Review PDF
Ably, Mohammed Formes linéaires de logarithmes de points algébriques sur une courbe elliptique. (Linear forms of logarithms of algebraic points on an elliptic curve). (French) Zbl 0957.11030 Ann. Inst. Fourier 50, No. 1, 1-33 (2000). Reviewer: Michel Waldschmidt (Paris) MSC: 11G15 11J89 11R11 14H52 14K22 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
André, Yves Finiteness of couples of singular modular invariants on a plane non-modular algebraic curve. (Finitude des couples d’invariants modulaires singuliers sur une courbe algébrique plane non modulaire.) (French) Zbl 0918.14010 J. Reine Angew. Math. 505, 203-208 (1998). Reviewer: Yves André (Paris) MSC: 14G35 14H10 14H25 14H52 11J81 11G05 × Cite Format Result Cite Review PDF Full Text: DOI
Agboola, A. On \(p\)-adic height pairings and locally free classgroups of Hopf orders. (English) Zbl 0967.11046 Math. Proc. Camb. Philos. Soc. 123, No. 3, 447-459 (1998). Reviewer: Gabriel D.Villa-Salvador (México) MSC: 11R33 11G05 11R23 14H52 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zesen; Hayes, David R. Norm and trace of the \(j\)-invariants of Drinfeld modules associated to hyperelliptic curves. (English) Zbl 0872.11031 J. Number Theory 63, No. 1, 1-11 (1997). Reviewer: D.Goss (Columbus/Ohio) MSC: 11G09 11G07 × Cite Format Result Cite Review PDF Full Text: DOI
Gonzalez-Avilés, Cristian D. On the conjecture of Birch and Swinnerton-Dyer. (English) Zbl 0918.11037 Trans. Am. Math. Soc. 349, No. 10, 4181-4200 (1997). MSC: 11G40 11G05 11G15 14G10 × Cite Format Result Cite Review PDF Full Text: DOI
Martin, Yves; Ono, Ken Eta-quotients and elliptic curves. (English) Zbl 0894.11020 Proc. Am. Math. Soc. 125, No. 11, 3169-3176 (1997). Reviewer: G.Köhler (Würzburg) MSC: 11F20 11G05 11F66 11F11 × Cite Format Result Cite Review PDF Full Text: DOI
Leprévost, F.; Morain, F. Coverings of elliptic curves with complex multiplication by hyperelliptic curves and character sums. (Revêtements de courbes elliptiques à multiplication complexe par des courbes hyperelliptiques et sommes de caractères.) (French) Zbl 0874.11044 J. Number Theory 64, No. 2, 165-182 (1997). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G15 11G05 14H52 11T24 × Cite Format Result Cite Review PDF Full Text: DOI
Hajir, Farshid On units related to the arithmetic of elliptic curves with complex multiplication. (English) Zbl 0855.11027 Arch. Math. 66, No. 4, 280-291 (1996). Reviewer: F.Hajir (Pasadena / CA) MSC: 11G16 11G15 11R27 14K22 × Cite Format Result Cite Review PDF Full Text: DOI
McConnell, Gary On the Iwasawa theory of CM elliptic curves at supersingular primes. (English) Zbl 0864.11054 Compos. Math. 101, No. 1, 1-19 (1996). Reviewer: J.-F.Jaulent (Talence) MSC: 11R23 11G05 14H52 11G15 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Joux, A.; Morain, F. On character sums related to elliptic curves with complex multiplication. (Sur les sommes de caractères liées aux courbes elliptiques à multiplication complexe.) (French) Zbl 0841.11042 J. Number Theory 55, No. 1, 108-128 (1995). Reviewer: D.Poulakis (Thessaloniki) MSC: 11L40 11G05 11G15 × Cite Format Result Cite Review PDF Full Text: DOI
Rodriguez Villegas, Fernando On the Taylor coefficients of theta functions of CM elliptic curves. (English) Zbl 0813.11037 Childress, Nancy (ed.) et al., Arithmetic geometry. Conference on arithmetic geometry with an emphasis on Iwasawa theory, March 15-18, 1993, Arizona State Univ., Tempe, AZ, USA. Providence, RI: American Mathematical Society. Contemp. Math. 174, 185-201 (1994). Reviewer: W.Kleinert (Berlin) MSC: 11G40 11G05 11F85 × Cite Format Result Cite Review PDF
Agboola, A.; Taylor, M. J. Class invariants of Mordell-Weil groups. (English) Zbl 0799.11049 J. Reine Angew. Math. 447, 23-61 (1994). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R33 11G05 × Cite Format Result Cite Review PDF Full Text: DOI Crelle EuDML
Atkin, A. O. L.; Morain, F. Finding suitable curves for the elliptic curve method of factorization. (English) Zbl 0815.11063 Math. Comput. 60, No. 201, 399-405 (1993). Reviewer: M.Pohst (Berlin) MSC: 11Y05 14H52 × Cite Format Result Cite Review PDF Full Text: DOI
Agboola, A. Iwasawa theory of elliptic curves and Galois module structure. (English) Zbl 0802.11051 Duke Math. J. 71, No. 2, 441-462 (1993). Reviewer: Lindsay N. Childs (Albany) MSC: 11R23 11G05 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Atkin, A. O. L.; Morain, F. Elliptic curves and primality proving. (English) Zbl 0792.11056 Math. Comput. 61, No. 203, 29-68 (1993). Reviewer: H.J.J.te Riele (Amsterdam) MSC: 11Y11 14H52 11F11 11R37 × Cite Format Result Cite Review PDF Full Text: DOI
Michel, Alexis A Riemann-Hurwitz formula for the Selmer group of an elliptic curve. (Une formule de Riemann-Hurwitz pour le groupe de Selmer d’une courbe elliptique.) (French) Zbl 0769.11027 Ann. Inst. Fourier 43, No. 1, 57-84 (1993). Reviewer: A.Michel (Bordeaux) MSC: 11G05 11R23 11R32 11G15 14H52 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Tashpulatov, B. T.; Kogan, L. A. Representation of numbers by quadratic forms. (Predstavlenie chisel kvadratichnymi formami.) (Russian) Zbl 0922.11033 Tashkent: Fan. 112 p. (1993). Reviewer: V.V.Karachik (Tashkent) MSC: 11E25 11-02 11F27 11E12 14K25 33E05 × Cite Format Result Cite Review PDF
Feng, Keqin On the BSD conjecture for series of elliptic curves with complex multiplication. (English) Zbl 0766.14014 Chin. Sci. Bull. 37, No. 7, 548-551 (1992). Reviewer: J.Jones (Tempe) MSC: 14G10 14H52 11G40 14K22 11G15 × Cite Format Result Cite Review PDF
Robert, Gilles La racine 12-ième canonique de \(\Delta{}(L)^{[\underline L:L]}/\Delta{}({\underline L})\). (Canonical 12th root of \(\Delta{}(L)^{[\underline L:L]}/\Delta{}({\underline L})\)). (French) Zbl 0751.11025 Théorie des nombres, Sémin., Paris/Fr. 1989-90, Prog. Math. 102, 209-232 (1992). Reviewer: J.Wolfart (Frankfurt / Main) MSC: 11F11 11G15 14H52 14K25 × Cite Format Result Cite Review PDF
Feng, Keqin On the even part of BSD conjecture for elliptic curves with complex multiplication by \(\mathbb{Z}[\frac{1+\sqrt{-7}}{2}]\). (English) Zbl 0823.11034 Gong, Sheng (ed.) et al., International symposium on number theory and analysis in memory of Hua Loo Keng, held August 1-7, 1988 at the Tsing Hua University, Beijing, China. Volume I: Number theory. Berlin: Springer-Verlag. 43-57 (1991). Reviewer: D.Poulakis (Thessaloniki) MSC: 11G40 14H52 × Cite Format Result Cite Review PDF
Plater, A. An orthogonality relation on the points of an elliptic curve. (English) Zbl 0752.11026 J. Lond. Math. Soc., II. Ser. 44, No. 2, 227-249 (1991). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11G05 14H52 11R23 11G15 × Cite Format Result Cite Review PDF Full Text: DOI
Schoof, René The exponents of the groups of points on the reductions of an elliptic curve. (English) Zbl 0726.14023 Arithmetic algebraic geometry, Proc. Conf., Texel/Neth. 1989, Prog. Math. 89, 325-335 (1991). Reviewer: H. G. Zimmer (Saarbrücken) MSC: 11G20 14G05 14G15 94A60 14K22 × Cite Format Result Cite Review PDF
Coates, John Elliptic curves with complex multiplication and Iwasawa theory. (English) Zbl 0752.11024 Bull. Lond. Math. Soc. 23, No. 4, 321-350 (1991). Reviewer: L.Washington (College Park) MSC: 11G05 11R23 14H52 14G05 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Rubin, Karl The one-variable main conjecture for elliptic curves with complex multiplication. (English) Zbl 0741.11028 \(L\)-functions and arithmetic, Proc. Symp., Durham/UK 1989, Lond. Math. Soc. Lect. Note Ser. 153, 353-371 (1991). Reviewer: H.-G.Rück (Essen) MSC: 11G05 11R23 14H52 14K22 11G40 11G16 11R27 × Cite Format Result Cite Review PDF
Mestre, J.-F. Families de courbes hyperelliptiques à multiplications réelles. (Families of hyperelliptic curves with real multiplication). (French) Zbl 0754.14020 Arithmetic algebraic geometry, Proc. Conf., Texel/Neth. 1989, Prog. Math. 89, 193-208 (1991). MSC: 14H52 14H10 14K22 × Cite Format Result Cite Review PDF
Wingberg, Kay On the étale K-theory of an elliptic curve with complex multiplication for regular primes. (English) Zbl 0729.14009 Can. Math. Bull. 33, No. 2, 145-150 (1990). Reviewer: Li Fuan (Beijing) MSC: 14C35 19E08 14H52 11G05 19E20 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastav, Anupam; Taylor, Martin J. Elliptic curves with complex multiplication and Galois module structure. (English) Zbl 0705.14031 Invent. Math. 99, No. 1, 165-184 (1990). Reviewer: M. J. Taylor MSC: 11R33 11G05 11G15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hazama, Fumio Demjanenko matrix, class number, and Hodge group. (English) Zbl 0697.12003 J. Number Theory 34, No. 2, 174-177 (1990). Reviewer: W.Hulsbergen MSC: 11R18 11T22 14H52 11R23 14K22 × Cite Format Result Cite Review PDF Full Text: DOI
Parish, James L. Rational torsion in complex-multiplication elliptic curves. (English) Zbl 0703.14023 J. Number Theory 33, No. 2, 257-265 (1989). Reviewer: A.N.Parshin MSC: 14H52 14K22 × Cite Format Result Cite Review PDF Full Text: DOI
Gordon, Daniel M. On the number of elliptic pseudoprimes. (English) Zbl 0658.10005 Math. Comput. 52, No. 185, 231-245 (1989). Reviewer: J.Silverman MSC: 11A15 11A41 14H52 × Cite Format Result Cite Review PDF Full Text: DOI
Rubin, Karl Tate-Shafarevich groups of elliptic curves with complex multiplication. (English) Zbl 0753.14026 Algebraic number theory - in honor of K. Iwasawa, Proc. Workshop Iwasawa Theory Spec. Values \(L\)-Funct., Berkeley/CA (USA) 1987, Adv. Stud. Pure Math. 17, 409-419 (1989). Reviewer: J.Top (Rotterdam) MSC: 14H52 11G16 14K22 11G05 14G05 × Cite Format Result Cite Review PDF
Deninger, Christopher; Wingberg, Kay On the Beilinson conjectures for elliptic curves with complex multiplication. (English) Zbl 0721.14006 Beilinson’s conjectures on special values of L-functions, Meet. Oberwolfach/FRG 1986, Perspect. Math. 4, 249-272 (1988). Reviewer: W.W.J.Hulsbergen (Breda) MSC: 14C35 14K22 14G10 14H52 14A20 × Cite Format Result Cite Review PDF
Deninger, Christopher Higher regulators of elliptic curves with complex multiplication. (English) Zbl 0701.14008 Sémin. Théor. Nombres, Paris 1986-87, Prog. Math. 75, 111-128 (1988). Reviewer: W.Hulsbergen MSC: 14C35 14K22 14H52 19E20 19E08 × Cite Format Result Cite Review PDF
Rubin, Karl On the main conjecture of Iwasawa theory for imaginary quadratic fields. (English) Zbl 0673.12004 Invent. Math. 93, No. 3, 701-713 (1988). Reviewer: J.-F.Jaulent MSC: 11R18 11R11 14K22 14H52 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Taylor, M. J. Mordell-Weil groups and the Galois module structure of rings of integers. (English) Zbl 0631.14033 Ill. J. Math. 32, No. 3, 428-452 (1988). MSC: 14K22 14G05 11R33 14H45 14H52 11R32 × Cite Format Result Cite Review PDF
Poulakis, Dimitrios Évaluation d’une somme cubique de caractères. (Evaluation of a cubic character sum). (French) Zbl 0619.10035 J. Number Theory 27, 41-45 (1987). Reviewer: A.R.Rajwade MSC: 11L10 14H52 14G15 11T06 × Cite Format Result Cite Review PDF Full Text: DOI
Momose, Fumiyuki Rational points on the modular curves \(X^ +_ 0(p^ r)\). (English) Zbl 0621.14018 J. Fac. Sci., Univ. Tokyo, Sect. I A 33, 441-466 (1986). Reviewer: T.Ekedahl MSC: 14G05 14H25 14G25 14K22 11F06 × Cite Format Result Cite Review PDF
Abdullaev, I.; Dusumbetov, A. D.; Kogan, L. A. Generalized conjecture of A. Weil in connection with special Dirichlet series. (Russian) Zbl 0621.10020 Dokl. Akad. Nauk UzSSR 1986, No. 12, 6-7 (1986). Reviewer: G.Gogishvili MSC: 11F67 11F27 × Cite Format Result Cite Review PDF
Bertrand, Daniel Relations d’orthogonalité sur les groupes de Mordell-Weil. (Relations of orthogonality on the Mordell-Weil groups). (French) Zbl 0607.14014 Théorie des nombres, Sémin. Paris 1984-85, Prog. Math. 63, 33-39 (1986). Reviewer: S.Kamienny MSC: 14G25 14K22 14H52 14H45 × Cite Format Result Cite Review PDF
Gupta, Rajiv Ramification in the Coates-Wiles tower. (English) Zbl 0601.12011 Invent. Math. 81, 59-69 (1985). Reviewer: H.-G.Rück MSC: 11R18 11S15 14K22 11R27 14H52 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Robert, Gilles Sur le corps de définition de certaines courbes elliptiques à multiplications complexes. (French) Zbl 0564.14016 Théorie des nombres, Sémin. Delange-Pisot-Poitou, Paris 1983-84, Prog. Math. 59, 235-253 (1985). MSC: 14H45 14K22 14G10 14H52 14H25 × Cite Format Result Cite Review PDF Full Text: EuDML
Perrin-Riou, Bernadette Arithmétique des courbes elliptiques et théorie d’Iwasawa. (Arithmetic of elliptic curves and Iwasawa theory). (French) Zbl 0599.14020 Mém. Soc. Math. Fr., Nouv. Sér. 17, 130 p. (1984). MSC: 14G25 14H45 14K22 14H52 11R18 14G10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Mazur, B. Modular curves and arithmetic. (English) Zbl 0597.14023 Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 185-211 (1984). Reviewer: S.Kamienny MSC: 14H25 14K22 11F27 14H52 14G25 14G20 14H45 11G15 × Cite Format Result Cite Review PDF
Robert, Gilles Sur le corps de définition de certaines courbes elliptiques à multiplications complexes. (French) Zbl 0559.14025 Sémin. Théor. Nombres, Univ. Bordeaux I 1983-1984, Exp. No. 8, 8 p. (1984). Reviewer: Gilles Robert MSC: 11G15 14H45 14K22 14G10 14H52 14H25 × Cite Format Result Cite Review PDF Full Text: EuDML
Gross, Benedict H. Heegner points on \(X_ 0(N)\). (English) Zbl 0559.14011 Modular forms, Symp. Durham/Engl. 1983, 87-105 (1984). Reviewer: David Goss (Columbus/Ohio) MSC: 11G05 11G16 11G40 × Cite Format Result Cite Review PDF
Koblitz, Neal Introduction to elliptic curves and modular forms. (English) Zbl 0553.10019 Graduate Texts in Mathematics, 97. New York etc.: Springer-Verlag. viii, 248 pp. DM 112.00 (1984). Reviewer: L. D. Olson MSC: 11G05 11-01 11F37 11G40 11D09 11G15 × Cite Format Result Cite Review PDF
Bertrand, Daniel Propriétés arithmétiques de fonctions thêta à plusieurs variables. (French) Zbl 0546.14029 Number theory, Proc. Journ. arith., Noordwijkerhout/Neth. 1983, Lect. Notes Math. 1068, 17-22 (1984). MSC: 14K25 11J81 14K22 14G25 × Cite Format Result Cite Review PDF
Bernardi, D.; Goldstein, C.; Stephens, N. Notes p-adiques, sur les courbes elliptiques. (French) Zbl 0529.14018 J. Reine Angew. Math. 351, 129-170 (1984). MSC: 14H25 14G20 11S40 14H52 14H45 14G10 × Cite Format Result Cite Review PDF Full Text: Crelle EuDML
Rishi, Dharam Bir; Parnami, J. C.; Rajwade, A. R. Complex multipliction by \((1+\sqrt{-19})/2\). (English) Zbl 0559.14029 Indian J. Pure Appl. Math. 14, 630-634 (1983). Reviewer: H.G.Zimmer MSC: 14K22 14H25 14H52 14H45 11G15 11D25 × Cite Format Result Cite Review PDF
Perrin-Riou, Bernadette Infinite descent and \(p\)-adic heights over elliptic curves with complex multiplication. (Descente infinie et hauteur \(p\)-adique sur les courbes elliptiques à multiplication complexe.) (French) Zbl 0547.14025 Invent. Math. 70, 369-398 (1983). Reviewer: G.Frey MSC: 11G40 11G07 11G15 11G50 14K22 14G10 14G20 14G40 14K15 11F80 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Greenberg, Ralph On the Birch and Swinnerton-Dyer conjecture. (English) Zbl 0546.14015 Invent. Math. 72, 241-265 (1983). Reviewer: G.Horrocks MSC: 11G40 11G15 14G10 14H45 14K22 14H52 14G05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Coates, John Infinite descent on elliptic curves with complex multiplication. (English) Zbl 0541.14026 Arithmetic and geometry, Pap. dedic. I. R. Shafarevich, Vol. I: Arithmetic, Prog. Math. 35, 107-137 (1983). Reviewer: I.G.Macdonald MSC: 14H25 14K22 11R18 14H52 14H45 14G25 × Cite Format Result Cite Review PDF
Coates, John; Goldstein, Catherine Some remarks on the main conjecture for elliptic curves with complex multipliation. (English) Zbl 0524.14023 Am. J. Math. 105, 337-366 (1983). MSC: 14G10 11S40 14K22 11R11 14H45 14H52 × Cite Format Result Cite Review PDF Full Text: DOI
Rubin, Karl Congruences for special values of L-functions of elliptic curves with complex multiplication. (English) Zbl 0513.14012 Invent. Math. 71, 339-364 (1983). MSC: 14G10 14H52 14K22 14G25 14H25 14H45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Gross, Benedict H. Minimal models for elliptic curves with complex multiplication. (English) Zbl 0541.14010 Compos. Math. 45, 155-164 (1982). Reviewer: R.Gillard MSC: 14E30 14H45 14K22 14H52 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Rubin, Karl Iwasawa theory and elliptic curves: supersingular primes. (English) Zbl 0532.14021 Journées arithmétiques, Exeter 1980, Lond. Math. Soc. Lect. Note Ser. 56, 379-383 (1982). Reviewer: David Goss (Columbus/Ohio) MSC: 11G05 11G15 11R23 × Cite Format Result Cite Review PDF
Rubin, Karl; Wiles, Andrew Mordell-Weil groups of elliptic curves over cyclotomic fields. (English) Zbl 0519.14017 Number theory related to Fermat’s last theorem, Proc. Conf., Prog. Math. 26, 237-254 (1982). MSC: 14G10 14H52 11R18 14G05 14H45 11R11 14G25 14K22 11G15 11R32 × Cite Format Result Cite Review PDF
Goldstein, C. Valeurs speciales de fonctions L. (French) Zbl 0518.14012 Semin. Theor. Nombres, Univ. Grenoble I 1981-1982, Expose No. 4, 1-14 (1982). MSC: 14G10 14K22 14G05 11R42 14H52 × Cite Format Result Cite Review PDF
Gross, Benedict H. On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication. (English) Zbl 0506.14040 Number theory related to Fermat’s last theorem, Proc. Conf., Prog. Math. 26, 219-236 (1982). Reviewer: C,-G. Schmidt MSC: 11G40 11G15 11G05 14H45 × Cite Format Result Cite Review PDF
Rohrlich, David E. Elliptic curves with good reduction everywhere. (English) Zbl 0499.14011 J. Lond. Math. Soc., II. Ser. 25, 216-222 (1982). MSC: 14H52 11R11 14K22 14G25 14H45 11R42 14K15 × Cite Format Result Cite Review PDF Full Text: DOI
Yager, Rodney I. On two variable \(p\)-adic \(L\)-functions. (English) Zbl 0496.12010 Ann. Math. (2) 115, 411-449 (1982). Reviewer: Norbert Klingen (Köln) MSC: 11M38 11S40 11R23 11G15 11G16 11G40 14K22 14H52 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yager, Rodney Ian On two variable p-adic L-functions. (English) Zbl 0474.12013 Bull. Aust. Math. Soc. 25, 313 (1982). MSC: 11R42 14K22 11S40 14H52 14K15 14H45 11R11 × Cite Format Result Cite Review PDF Full Text: DOI
Rubin, Karl Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. (English) Zbl 0506.14039 Invent. Math. 64, 455-470 (1981). Reviewer: M. Nagata MSC: 11G40 11G15 11G05 14H45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Perrin-Riou, Bernadette The Selmer group of an elliptic curve with complex multiplication. (Groupe de Selmer d’une courbe elliptique à multiplication complexe.) (French) Zbl 0479.14019 Compos. Math. 43, 387-417 (1981). Reviewer: G. Henniart MSC: 11G40 11G07 11G15 14G10 11R11 14K22 14G05 14K15 14H45 14H25 11S15 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Hwang-Ma, Shu-Yin Periods of iterated integrals of holomorphic forms on a compact Riemann surface. (English) Zbl 0478.32016 Trans. Am. Math. Soc. 264, 295-300 (1981). MSC: 32G20 30F10 14H52 14H40 14K22 22E30 × Cite Format Result Cite Review PDF Full Text: DOI
Perrin-Riou, Bernadette Groupe de Selmer à 2 variables des courbes elliptiques à multiplication complexe. (French) Zbl 0471.14021 Theorie des nombres, Semin. Delange-Pisot-Poitou, Paris 1979-80, Prog. Math. 12, 236-244 (1981). MSC: 14H52 11R32 14G25 11R11 14K15 14K22 14H45 × Cite Format Result Cite Review PDF
Goldstein, Catherine; Schappacher, Norbert Series d’Eisenstein et fonctions L de courbes elliptiques à multiplication complexe. (French) Zbl 0456.12007 J. Reine Angew. Math. 327, 184-218 (1981). MSC: 11R42 11R11 14G25 14G05 14H52 14G10 × Cite Format Result Cite Review PDF Full Text: Crelle EuDML
Robert, Gilles Some congruences between Eisenstein series (supersingular case). (English) Zbl 0462.10018 Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 441-452 (1980). MSC: 11F12 11S80 14H52 14K20 × Cite Format Result Cite Review PDF
Serre, Jean-Pierre Annexe: Deux lettres. (French) Zbl 0452.14010 Mém. Soc. Math. Fr., Nouv. Sér. 2, 95-102 (1980). MSC: 14K22 11R18 14K15 14H52 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Rohrlich, David E. On the L-functions of canonical Hecke characters of imaginary quadratic fields. (English) Zbl 0446.12010 Duke Math. J. 47, 547-557 (1980). MSC: 11R42 11R11 14G10 14K22 × Cite Format Result Cite Review PDF Full Text: DOI
Coates, John The arithmetic of elliptic curves with complex multiplication. (English) Zbl 0435.14005 Proc. int. Congr. Math., Helsinki 1978, Vol. 1, 351-355 (1980). MSC: 14G05 14H52 14H45 14K22 14G10 11R42 × Cite Format Result Cite Review PDF
Rohrlich, David E. The non-vanishing of certain Hecke \(L\)-functions at the center of the critical strip. (English) Zbl 0434.12007 Duke Math. J. 47, 223-232 (1980). Reviewer: David E. Rohrlich MSC: 11R42 11G40 11R11 × Cite Format Result Cite Review PDF Full Text: DOI
Gross, Benedict H. [Mazur, B.] Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur. (English) Zbl 0433.14032 Lecture Notes in Mathematics. 776. Berlin-Heidelberg-New York: Springer-Verlag. V, 95 p. DM 18.00; $ 10.10 (1980). MSC: 14K22 14G05 14G10 14H52 14-02 11G15 × Cite Format Result Cite Review PDF Full Text: DOI
Gross, Benedict H. On an identity of Chowla and Selberg. (English) Zbl 0418.14024 J. Number Theory 11, 344-348 (1979). MSC: 14K22 14H45 11G15 × Cite Format Result Cite Review PDF Full Text: DOI
Lang, Serge Sur la conjecture de Birch-Swinnerton Dyer (d’apres J. Coates et A. Wiles). (French) Zbl 0422.14013 Semin. Bourbaki, Vol. 1976/77, Expose No. 503, Lect. Notes Math. 677, 189-200 (1978). MSC: 14G05 14K22 14H52 14G10 14H25 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Gross, Benedict H. [Rohrlich, D. E.] On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich. (English) Zbl 0418.14023 Invent. Math. 45, 193-211 (1978). MSC: 14K22 14H10 14H25 11G15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML