Edit Profile Rück, Hans-Georg Compute Distance To: Compute Author ID: ruck.hans-georg Published as: Rück, H.-G.; Rück, Hans-Georg External Links: MGP · Wikidata Documents Indexed: 22 Publications since 1980, including 1 Book all top 5 Co-Authors 12 single-authored 3 Frey, Gerhard 2 Breuer, Florian 2 Stichtenoth, Henning 2 Tipp, Ulrich 1 Garcia, Arnaldo 1 Müller, Michael W. 1 Paulus, Sachar Manfred all top 5 Serials 4 Mathematics of Computation 3 Archiv der Mathematik 3 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 1 IEEE Transactions on Information Theory 1 Compositio Mathematica 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Documenta Mathematica all top 5 Fields 18 Number theory (11-XX) 14 Algebraic geometry (14-XX) 3 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 14 Publications have been cited 259 times in 240 Documents Cited by ▼ Year ▼ A remark concerning \(m\)-divisibility and the discrete logarithm in the divisor class group of curves. Zbl 0813.14045Frey, Gerhard; Rück, Hans-Georg 73 1994 A characterization of Hermitian function fields over finite fields. Zbl 0802.11053Rück, Hans-Georg; Stichtenoth, Henning 52 1994 A note on elliptic curves over finite fields. Zbl 0628.14019Rück, Hans-Georg 31 1987 On tame towers over finite fields. Zbl 1055.11039Garcia, Arnaldo; Stichtenoth, Henning; Rück, Hans-Georg 27 2003 The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems. Zbl 0957.94025Frey, Gerhard; Müller, Michael; Rück, Hans-Georg 19 1999 Abelian surfaces and Jacobian varieties over finite fields. Zbl 0742.14037Rück, Hans-Georg 18 1990 Real and imaginary quadratic representations of hyperelliptic function fields. Zbl 0923.11160Paulus, Sachar; Rück, Hans-Georg 14 1999 Heegner points and \(L\)-series of automorphic cusp forms of Drinfeld type. Zbl 1012.11039Tipp, Ulrich; Rück, Hans-Georg 6 2000 Drinfeld modular polynomials in higher rank. Zbl 1254.11058Breuer, Florian; Rück, Hans-Georg 4 2009 On the discrete logarithm in the divisor class group of curves. Zbl 1036.11030Rück, Hans-Georg 4 1999 The strong Lefschetz principle in algebraic geometry. Zbl 0609.14019Frey, Gerhard; Rück, Hans-Georg 4 1986 Theta series of imaginary quadratic function fields. Zbl 0855.11021Rück, Hans-Georg 3 1995 Class groups and L-series of function fields. Zbl 0581.14025Rück, H.-G. 3 1986 Hasse-Witt-invariants and dihedral extensions. Zbl 0563.12011Rück, Hans-Georg 1 1986 Drinfeld modular polynomials in higher rank. Zbl 1254.11058Breuer, Florian; Rück, Hans-Georg 4 2009 On tame towers over finite fields. Zbl 1055.11039Garcia, Arnaldo; Stichtenoth, Henning; Rück, Hans-Georg 27 2003 Heegner points and \(L\)-series of automorphic cusp forms of Drinfeld type. Zbl 1012.11039Tipp, Ulrich; Rück, Hans-Georg 6 2000 The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems. Zbl 0957.94025Frey, Gerhard; Müller, Michael; Rück, Hans-Georg 19 1999 Real and imaginary quadratic representations of hyperelliptic function fields. Zbl 0923.11160Paulus, Sachar; Rück, Hans-Georg 14 1999 On the discrete logarithm in the divisor class group of curves. Zbl 1036.11030Rück, Hans-Georg 4 1999 Theta series of imaginary quadratic function fields. Zbl 0855.11021Rück, Hans-Georg 3 1995 A remark concerning \(m\)-divisibility and the discrete logarithm in the divisor class group of curves. Zbl 0813.14045Frey, Gerhard; Rück, Hans-Georg 73 1994 A characterization of Hermitian function fields over finite fields. Zbl 0802.11053Rück, Hans-Georg; Stichtenoth, Henning 52 1994 Abelian surfaces and Jacobian varieties over finite fields. Zbl 0742.14037Rück, Hans-Georg 18 1990 A note on elliptic curves over finite fields. Zbl 0628.14019Rück, Hans-Georg 31 1987 The strong Lefschetz principle in algebraic geometry. Zbl 0609.14019Frey, Gerhard; Rück, Hans-Georg 4 1986 Class groups and L-series of function fields. Zbl 0581.14025Rück, H.-G. 3 1986 Hasse-Witt-invariants and dihedral extensions. Zbl 0563.12011Rück, Hans-Georg 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 295 Authors 11 Torres, Fernando 9 Garcia, Arnaldo 9 Tafazolian, Saeed 8 Galbraith, Steven D. 7 Ballet, Stéphane 7 Menezes, Alfred J. 7 Miret, Josep M. 6 Giulietti, Massimo 6 Stichtenoth, Henning 5 Breuer, Florian 5 Chara, Maria de los Angeles 5 Howe, Everett W. 5 Lee, Hyangsook 5 Marcolla, Chiara 5 Teske, Edlyn 5 Toledano, Ricardo 4 Abdón, Miriam 4 Beelen, Pieter Hendrik Turdus 4 Korchmáros, Gábor 4 Pujolàs, Jordi 4 Quoos, Luciane 4 Shparlinski, Igor E. 4 Stein, Andreas 4 Xing, Chaoping 3 Blake, Ian F. 3 Duursma, Iwan Maynard 3 Fanali, Stefania 3 Haloui, Safia 3 Hasegawa, Takehiro 3 Lee, Eunjeong 3 Ritzenthaler, Christophe 3 Rück, Hans-Georg 3 Smart, Nigel P. 3 Thériault, Nicolas 3 Zhang, Fangguo 2 Achter, Jeffrey D. 2 Adj, Gora 2 Alimoradi, Reza 2 Aubry, Yves 2 Ballico, Edoardo 2 Bassa, Alp 2 Bezerra, Juscelino 2 Bruin, Peter 2 Chaumine, Jean 2 Chiesa, Alessandro 2 Choie, YoungJu 2 Cossidente, Antonio 2 Enge, Andreas 2 Fouotsa, Emmanuel 2 Frey, Gerhard 2 Fuhrmann, Rainer 2 Garefalakis, Theo 2 Giangreco-Maidana, Alejandro J. 2 Hadian Dehkordi, Massoud 2 Hess, Florian 2 Hirschfeld, James William Peter 2 Huang, Mingdeh 2 Jedrzejak, Tomasz 2 Jeong, Eunkyung 2 Joux, Antoine 2 Karati, Sabyasachi 2 Kawakita, Motoko Qiu 2 Koblitz, Neal I. 2 Konstantinou, Elisavet 2 Kontogeorgis, Aristides I. 2 Maharaj, Hiren 2 Montanucci, Maria 2 Moreno, Ramiro 2 Novoselov, S. A. 2 Ó hÉigeartaigh, Colm 2 Oliveira, Thomaz 2 Özbudak, Ferruh 2 Papikian, Mihran 2 Park, Cheol Min 2 Paulus, Sachar Manfred 2 Pellegrini, Marco Antonio 2 Perret, Marc 2 Pieltant, Julia 2 Re, Riccardo 2 Rio, Anna 2 Rodríguez-Henríquez, Francisco 2 Roggero, Margherita 2 Rolland, Robert 2 Rybakov, Sergey Yu. 2 Sala, Massimiliano 2 Sarkar, Palash 2 Scheidler, Renate 2 Schweizer, Andreas 2 Sha, Min 2 Stange, Katherine E. 2 Sutherland, Andrew V. 2 Valera, Javier 2 Valls, Magda 2 Vercauteren, Frederik 2 Vlǎduţ, Sergei Georgievich 2 Xu, Maozhi 1 Ahmadi, Omran 1 Alderson, Tim L. 1 Ansari, Bijan 1 Anuradha, N. ...and 195 more Authors all top 5 Cited in 71 Serials 32 Finite Fields and their Applications 29 Journal of Number Theory 14 Mathematics of Computation 10 Journal of Pure and Applied Algebra 8 Journal of Cryptology 8 Designs, Codes and Cryptography 7 LMS Journal of Computation and Mathematics 6 Applicable Algebra in Engineering, Communication and Computing 5 Applied Mathematics and Computation 5 Journal of Algebra 5 Journal of Mathematical Cryptology 5 Advances in Mathematics of Communications 4 Archiv der Mathematik 4 Mathematische Annalen 4 Journal de Théorie des Nombres de Bordeaux 4 Advances in Geometry 3 Communications in Algebra 3 Information Sciences 3 Tokyo Journal of Mathematics 3 Journal of Symbolic Computation 3 Experimental Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Algebra and its Applications 3 International Journal of Number Theory 2 Discrete Mathematics 2 Information Processing Letters 2 Manuscripta Mathematica 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Prikladnaya Diskretnaya Matematika 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Revista Colombiana de Matemáticas 1 Journal of Complexity 1 Journal of Computer Science and Technology 1 Algorithmica 1 Journal of the Ramanujan Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Tatra Mountains Mathematical Publications 1 Annales Mathématiques Blaise Pascal 1 Arab Journal of Mathematical Sciences 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Journal of Discrete Algorithms 1 Science in China. Series F 1 Mathematics in Computer Science 1 Discrete Mathematics, Algorithms and Applications 1 Groups, Complexity, Cryptology 1 Science China. Mathematics 1 Science China. Information Sciences 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 13 Fields 195 Number theory (11-XX) 161 Algebraic geometry (14-XX) 88 Information and communication theory, circuits (94-XX) 12 Computer science (68-XX) 5 Geometry (51-XX) 3 Commutative algebra (13-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.