Edit Profile (opens in new tab) Rück, Hans-Georg Co-Author Distance Author ID: ruck.hans-georg Published as: Rück, Hans-Georg; Rück, H.-G. External Links: MGP Documents Indexed: 22 Publications since 1980, including 1 Book Co-Authors: 6 Co-Authors with 10 Joint Publications 107 Co-Co-Authors all top 5 Co-Authors 12 single-authored 3 Frey, Gerhard 2 Breuer, Florian 2 Stichtenoth, Henning 2 Tipp, Ulrich 1 Garcia, Arnaldo 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 Open 14 Publications have been cited 317 times in 293 Documents Cited by ▼ Year ▼ A remark concerning \(m\)-divisibility and the discrete logarithm in the divisor class group of curves. Zbl 0813.14045 Frey, Gerhard; Rück, Hans-Georg 89 1994 A characterization of Hermitian function fields over finite fields. Zbl 0802.11053 Rück, Hans-Georg; Stichtenoth, Henning 62 1994 A note on elliptic curves over finite fields. Zbl 0628.14019 Rück, Hans-Georg 40 1987 On tame towers over finite fields. Zbl 1055.11039 Garcia, Arnaldo; Stichtenoth, Henning; Rück, Hans-Georg 31 2003 The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems. Zbl 0957.94025 Frey, Gerhard; Müller, Michael; Rück, Hans-Georg 26 1999 Abelian surfaces and Jacobian varieties over finite fields. Zbl 0742.14037 Rück, Hans-Georg 21 1990 Real and imaginary quadratic representations of hyperelliptic function fields. Zbl 0923.11160 Paulus, Sachar; Rück, Hans-Georg 16 1999 Heegner points and \(L\)-series of automorphic cusp forms of Drinfeld type. Zbl 1012.11039 Tipp, Ulrich; Rück, Hans-Georg 9 2000 Drinfeld modular polynomials in higher rank. Zbl 1254.11058 Breuer, Florian; Rück, Hans-Georg 6 2009 The strong Lefschetz principle in algebraic geometry. Zbl 0609.14019 Frey, Gerhard; Rück, Hans-Georg 5 1986 On the discrete logarithm in the divisor class group of curves. Zbl 1036.11030 Rück, Hans-Georg 4 1999 Class groups and L-series of function fields. Zbl 0581.14025 Rück, H.-G. 4 1986 Theta series of imaginary quadratic function fields. Zbl 0855.11021 Rück, Hans-Georg 3 1995 Hasse-Witt-invariants and dihedral extensions. Zbl 0563.12011 Rück, Hans-Georg 1 1986 Drinfeld modular polynomials in higher rank. Zbl 1254.11058 Breuer, Florian; Rück, Hans-Georg 6 2009 On tame towers over finite fields. Zbl 1055.11039 Garcia, Arnaldo; Stichtenoth, Henning; Rück, Hans-Georg 31 2003 Heegner points and \(L\)-series of automorphic cusp forms of Drinfeld type. Zbl 1012.11039 Tipp, Ulrich; Rück, Hans-Georg 9 2000 The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems. Zbl 0957.94025 Frey, Gerhard; Müller, Michael; Rück, Hans-Georg 26 1999 Real and imaginary quadratic representations of hyperelliptic function fields. Zbl 0923.11160 Paulus, Sachar; Rück, Hans-Georg 16 1999 On the discrete logarithm in the divisor class group of curves. Zbl 1036.11030 Rück, Hans-Georg 4 1999 Theta series of imaginary quadratic function fields. Zbl 0855.11021 Rück, Hans-Georg 3 1995 A remark concerning \(m\)-divisibility and the discrete logarithm in the divisor class group of curves. Zbl 0813.14045 Frey, Gerhard; Rück, Hans-Georg 89 1994 A characterization of Hermitian function fields over finite fields. Zbl 0802.11053 Rück, Hans-Georg; Stichtenoth, Henning 62 1994 Abelian surfaces and Jacobian varieties over finite fields. Zbl 0742.14037 Rück, Hans-Georg 21 1990 A note on elliptic curves over finite fields. Zbl 0628.14019 Rück, Hans-Georg 40 1987 The strong Lefschetz principle in algebraic geometry. Zbl 0609.14019 Frey, Gerhard; Rück, Hans-Georg 5 1986 Class groups and L-series of function fields. Zbl 0581.14025 Rück, H.-G. 4 1986 Hasse-Witt-invariants and dihedral extensions. Zbl 0563.12011 Rück, Hans-Georg 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 359 Authors 13 Torres, Fernando 11 Tafazolian, Saeed 9 Ballet, Stéphane 9 Galbraith, Steven D. 9 Garcia, Arnaldo 7 Menezes, Alfred J. 7 Miret, Josep M. 7 Toledano, Ricardo 6 Chara, Maria de los Angeles 6 Giulietti, Massimo 6 Stichtenoth, Henning 5 Beelen, Pieter Hendrik Turdus 5 Breuer, Florian 5 Howe, Everett W. 5 Lee, Hyangsook 5 Marcolla, Chiara 5 Sala, Massimiliano 5 Teske, Edlyn 5 Xing, Chaoping 4 Abdón, Miriam 4 Giangreco-Maidana, Alejandro José 4 Hasegawa, Takehiro 4 Korchmáros, Gábor 4 Montanucci, Maria 4 Pujolàs, Jordi 4 Quoos, Luciane 4 Rolland, Robert 4 Sarkar, Palash 4 Shparlinski, Igor E. 4 Stein, Andreas 4 Vercauteren, Frederik 3 Blake, Ian F. 3 Castryck, Wouter 3 Chaumine, Jean 3 Duursma, Iwan Maynard 3 El Mrabet, Nadia 3 Fanali, Stefania 3 Fouotsa, Emmanuel 3 Haloui, Safia 3 Hess, Florian 3 Kawakita, Motoko Qiu 3 Lee, Eunjeong 3 Maharaj, Hiren 3 Özbudak, Ferruh 3 Pieltant, Julia 3 Ritzenthaler, Christophe 3 Rodríguez-Henríquez, Francisco 3 Rück, Hans-Georg 3 Scheidler, Renate 3 Smart, Nigel Paul 3 Sutherland, Andrew V. 3 Taufer, Daniele 3 Thériault, Nicolas 3 Wei, Fu-Tsun 3 Zhang, Fangguo 2 Achter, Jeffrey D. 2 Adj, Gora 2 Alimoradi, Reza 2 Aubry, Yves 2 Ballico, Edoardo 2 Bartoli, Daniele 2 Bassa, Alp 2 Beuchat, Jean-Luc 2 Bezerra, Juscelino 2 Böttcher, Albrecht 2 Bruin, Peter 2 Chiesa, Alessandro 2 Choie, YoungJu 2 Cossidente, Antonio 2 Detrey, Jérémie 2 Enge, Andreas 2 Fan, Xinxin 2 Frey, Gerhard 2 Fuhrmann, Rainer 2 Fukshansky, Lenny 2 Garcia, Stephan Ramon 2 Garefalakis, Theo 2 Gong, Guang 2 Hadian Dehkordi, Massoud 2 Hirschfeld, James William Peter 2 Houben, Marc 2 Iezzi, Annamaria 2 Jedrzejak, Tomasz 2 Jeong, Eunkyung 2 Karati, Sabyasachi 2 Koblitz, Neal I. 2 Konstantinou, Elisavet 2 Kontogeorgis, Aristides I. 2 Lange, Tanja 2 Le, Duc-Phong 2 Ma, Liming 2 Matthews, Gretchen L. 2 Moreno, Ramiro 2 Nourozi, Vahid 2 Novoselov, S. A. 2 Ó hÉigeartaigh, Colm 2 Oliveira, Thomaz 2 Papikian, Mihran 2 Park, Cheol Min 2 Paulus, Sachar Manfred ...and 259 more Authors all top 5 Cited in 87 Serials 33 Finite Fields and their Applications 30 Journal of Number Theory 13 Mathematics of Computation 12 Journal of Pure and Applied Algebra 8 Journal of Cryptology 8 Designs, Codes and Cryptography 8 Applicable Algebra in Engineering, Communication and Computing 7 LMS Journal of Computation and Mathematics 7 Advances in Geometry 6 Journal of Mathematical Cryptology 5 Applied Mathematics and Computation 5 Journal of Algebra 5 Mathematische Annalen 5 International Journal of Number Theory 5 Advances in Mathematics of Communications 4 Archiv der Mathematik 4 Journal de Théorie des Nombres de Bordeaux 4 Journal of Algebra and its Applications 3 Communications in Algebra 3 Information Sciences 3 Proceedings of the American Mathematical Society 3 Tokyo Journal of Mathematics 3 Journal of Symbolic Computation 3 Experimental Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Prikladnaya Diskretnaya Matematika 2 Bulletin of the Australian Mathematical Society 2 Discrete Mathematics 2 Information Processing Letters 2 Russian Mathematical Surveys 2 Manuscripta Mathematica 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Journal of Discrete Mathematical Sciences & Cryptography 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Mathematical Notes 1 Nonlinearity 1 ACM Transactions on Mathematical Software 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 Combinatorial Theory. Series A 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 Pacific Journal of Mathematics 1 Revista Colombiana de Matemáticas 1 Journal of Complexity 1 Journal of Computer Science and Technology 1 Algorithmica 1 SIAM Journal on Discrete Mathematics 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 Documenta Mathematica 1 Mathematical Communications 1 The Ramanujan Journal 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 Missouri Journal of Mathematical Sciences 1 Journal of Discrete Algorithms 1 Science in China. Series F 1 Mathematics in Computer Science 1 Discrete Mathematics, Algorithms and Applications 1 São Paulo Journal of Mathematical Sciences 1 Groups, Complexity, Cryptology 1 Cryptography and Communications 1 Science China. Mathematics 1 Science China. Information Sciences 1 International Journal of Group Theory 1 Transactions on Combinatorics 1 Research in Number Theory 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 20 Fields 231 Number theory (11-XX) 191 Algebraic geometry (14-XX) 107 Information and communication theory, circuits (94-XX) 16 Computer science (68-XX) 5 Geometry (51-XX) 4 Commutative algebra (13-XX) 4 Group theory and generalizations (20-XX) 3 Field theory and polynomials (12-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year