Locally imprimitive points on elliptic curves

Autor: Jones, Nathan, Pappalardi, Francesco, Stevenhagen, Peter

Under GRH, any element in the multiplicative group of a number field $K$ that is globally primitive (i.e., not a perfect power in $K^*$) is a primitive root modulo a set of primes of $K$ of positive density. For elliptic curves $E/K$ that are known t

Externí odkaz: http://arxiv.org/abs/2304.03964

Redei reciprocity, governing fields, and negative Pell

Autor: Stevenhagen, Peter

Publikováno v: Math. Proc. of the Cambridge Phil. Soc., 2021

We discuss the origin, an improved definition and the key reciprocity property of the trilinear symbol introduced by R\'edei in the study of 8-ranks of narrow class groups of quadratic number fields. It can be used to show that such 8-ranks are gover

Externí odkaz: http://arxiv.org/abs/1806.06250

Safety of the oral factor XIa inhibitor asundexian compared with apixaban in patients with atrial fibrillation (PACIFIC-AF): a multicentre, randomised, double-blind, double-dummy, dose-finding phase 2 study

Autor: Auer, Johann, Hubauer, Martin, Pandzic, Sead, Preishuber, Eva, Primus-Grabscheit, Carina, Reitgruber, Dietmar, Schmalzer, Florian, Adlbrecht, Christopher, Schober, Andreas, Hajos, Johannes, Keil, Christoph, Schratter, Alexandra, Frick, Matthias, Benda, Magdalena Anna, Mächler, Maximilian, Mutschlechner, Beatrix, Saely, Christoph, Sprenger, Lukas, Lichtenauer, Michael, Eber, Miriam, Hoppe, Uta, Kolbitsch, Tobias, Jirak, Peter Michael, Mirna, Moritz, Schönbauer, Robert, Bergler-Klein, Jutta, Hengstenberg, Christian, Stojkovic, Stefan, Scherr, Daniel, Manninger-Wünscher, Martin, Rohrer, Ursula, Stühlinger, Markus, Schgoer, Wilfried, Schwarzl, Jana, Pürerfellner, Helmut, Derndorfer, Michael, Ebner, Christian, Eder, Veronika, Kollias, Georgios, Sturmberger, Thomas, Sieghartsleitner, Stefan, Vijgen, Johan, Koopman, Peter, Dujardin, Karl, Anné, Wim, De Ceuninck, Michel, Tavernier, Rene, Duytschaever, Mattias, Knecht, Sébastien, Missault, Luc, Vandekerckhove, Yves, Rossenbacker, Tom, Ector, Bavo, Charlier, Filip, Debruyne, Philippe, Dewilde, Willem, Janssens, Luc, Roosen, John, Vankelecom, Bart, Heidbuchel, Hein, Delesie, Michiel, Vervoort, Gert, Rombouts, Hans, Vanassche, Thomas, Engelen, Matthias, Verhamme, Peter, Willems, Rik, Constance, Christian, Pranno, Nicolas, Cox, Jafna, Bata, Iqbal, Macle, Laurent, Aguilar, Martin, Tourigny, Julia Cadrin, Dubuc, Marc, Dyrda, Katia, Guerra, Peter, Khairy, Paul, Mondésert, Blandine, Rivard, Léna, Roy, Denis, Tadros, Rafik, Talajic, Mario, Thibault, Bernard, Nault, Isabelle, Blier, Louis, Champagne, Jean, Molin, Franck, O'Hara, Gilles, Philippon, François, Plourde, Benoit, Sarrazin, Jean-François, Steinberg, Christian, Coufal, Zdenek, Balazsik, David, Mikulica, Michal, Zapeca, Jakub, Cermak, Ondrej, Drasnar, Tomas, Falc, Matej, Hornof, Josef, Racz, Blazej, Weissova, Danica, Linkova, Hana, Paskova, Eva, Petr, Robert, Sirakova, Andrea, Kettner, Jiri, Benak, Ales, Holek, Martin, Podpera, Ivo, Podperova, Monika, Vancura, Vlastimil, Jandik, Tomas, Smid, Jiri, Dedek, Vratislav, Banik, Jan, Durdil, Vaclav, Hnat, Tomas, Lellouche, Nicolas, Rouffiac, Ségolène, Taldir, Guillaume, Bridonneau, Valentin, Couffon, Philippe, Daudin, Magalie, Hamon, Cécile, Lacaze, Jonathan, Quentin, Anne, Thebault, Christophe, Boiffard, Emmanuel, Billon, Olivier, Miette, Fabien, Pouliquen, Hervé, Turlotte, Guillaume, Gorka, Hervé, Albert, Franck, Bayle, Sandrine, Bensaid, Reda, Dasoveanu, Madalina, Demichili, Thibaud, Dutoiu, Teodora, Khalil, Cliff, Loghin, Caterina, Range, Grégoire, Roussel, Laurent, Socié, Pierre, Thuaire, Christophe, Extramiana, Fabrice, Algalarrondo, Vincent, Boughanmi, Haten, El Mansour, Noreddine, Mohammad, Usman, Sellier, Romain, Elbaz, Meyer, Laperche, Clémence, Maury, Philippe, Kiss, Robert, Borsanyi, Tunde, Gingl, Zoltan, Polgar, Balaza, Benczur, Bela, Bodor, Alexandra, Hepp, Tamas, Malati, Eva, Nagy, Laszlo, Erdei, Norbert, Kapus, Jozsef, Kapus, Katalin, Toth, Brigitta, Matoltsy, Andras, Kiss, Tunde, Merkely, Bela, Herczeg, Szilvia, Kiss, Orsolya, Sallo, Zoltan, Toth, Kalman, Habon, Tamas, Rabai, Miklos, Totsimon, Kinga, Zilahi, Zsolt, Bencze, Gabriella, Santa, Janos, Aradi, Daniel, Kelemen, Barbara, Bolognese, Leonardo, Nesti, Martina, Notarstefano, Pasquale Giovanni, D'Orazio, Simona, Cosmi, Franco, Becattini, Cecilia, Agnelli, Giancarlo, Broccatelli, Belinda, Mosconi, Maria Giulia, Paciaroni, Maurizio, Urbini, Chiara, Parato, Vito Maurizio, Notaristefani, Camilla, Scarano, Michele, Ameri, Pietro, Ghigliotti, Giorgio, Guglielmi, Giulia, Lotti, Roberta, Merlo, Andrea Carlo, Muiesan, Maria Lorenza, Abondio, Andrea, Berasi, Caterina, Mattiuzzo, Elena, Mutti, Claudio, Salvetti, Massimo, Pignatelli, Pasquale, Menichelli, Danilo, Pastori, Daniele, Tamiya, Eiji, Matsumoto, Takahiro, Takabe, Tomosato, Yamamoto, Shoichi, Yamashita, Haruyo, Higashiue, Shinichi, Furuya, Onichi, Hiramatsu, Norihiko, Kasuga, Kensuke, Kojima, Saburo, Komooka, Masatoshi, Kuroyanagi, Satoshi, Matsuura, Makoto, Takemoto, Tetsushi, Yamamoto, Shuji, Saito, Katusmi, Abe, Takuro, Ishida, Issei, Iwanami, Yuji, Kataoka, Shohei, Moriyama, Tetsu, Murohashi, Akira, Sasaki, Akihito, Nakamura, Yuichiro, Ueno, Tetsuya, Shimane, Akira, Hamana, Tomoyo, Ichibori, Hirotoshi, Inoue, Tomohiro, Itoh, Mitsuaki, Iwane, Seigo, Kawai, Hiroya, Kokawa, Tatsuya, Masumoto, Akiko, Matsuo, Koki, Miyata, Taishi, Nakano, Shinsuke, Oishi, Shogo, Onishi, Tetsuari, Sawada, Takahiro, Saito, Takayuki, Shoda, Mitsuhiko, Takahashi, Nobuyuki, Takaya, Tomofumi, Taniguchi, Yasuyo, Tsukamoto, Shota, Tsukishiro, Yasue, Tsukiyama, Yoshiro, Tsunamoto, Hiroshi, Uzu, Kenzo, Yamamoto, Hiroyuki, Yamamoto, Tetsuya, Yokoi, Kiminobu, Yoshida, Chiaki, Watanabe, Nobuhiro, Betsuyaku, Tetsuo, Adachi, Kumiko, Awane, Kouichi, Goto, Daisuke, Sakakibara, Mamoru, Watanabe, Masashi, Ueno, Hideki, Hiroe, Yoshitaka, Matsuo, Koshi, Ayata, Kenji, Fukuda, Ko, Hata, Yoshiki, Hashimoto, Katsushi, Matsumi, Hiroaki, Nikaido, Akira, Okamoto, Shuichi, Sime, Iveta, Stirna, Valters, Reinholde, Ilze, Hansone, Silvija, Kozlovska, Anita, Romanova, Janina, Klincare, Dace, Pontaga, Natalja, Dirmans, Igors, Kalnins, Artis, Upite, Dana, Gersamija, Arcils, Teleznikovs, Arturs, Rozkova, Nadezda, Safro, Jelena, Anguera Camós, Ignasi, Domenico Dallaglio, Paolo, Salguero Bodes, Rafael, Arnbas, Fernando, Borrego, Luis, Marco, Alvaro, Jimenez, Javier Ramos, Gómez-Doblas, Juan José, Pérez Cabeza, Alejandro, Ferreira Gonzålez, Ignacio, Limeres Freire, Javier, Lopez Grau, Merce, Viñolas Prat, Xavier, Moreno Weidmann, Zoraida, Guerra Ramos, Jose Maria, Alonso Martin, Maria Concepcion, Campos Garcia, Bieito, Mogro Carranza, Javier Mauricio, Mendez Zurita, Francisco Javier, Rodriguez Font, Enrique, Gonzales Matos, Carlos Eduardo, García Hernando, Víctor, Lindholm, Carl-Johan, Thulin, Jörgen, Wallén, Håkan, Hagwall, Kristina, Eliasson, Ken, Lundvall, Martin, Olsson, Jens, Kjellman, Björn, Lind, Markus, Johansson, Lars, Svedberg, Niclas, Berglund, Stefan, Söderberg, Julia, Zedigh, Christer, Mooe, Thomas, Axelsson, Mattias, Binsell, Emil, Huber, Daniel, Müller, Christian, Danier, Isabelle, Kühne, Michael, Okamura, Bernhard, Schoepfer, Hadrien, Simmen, Cornelia, Reichlin, Tobias, Chollet, Laurève, Lam, Anna, Wittmer, Severin, Rickli, Hans, Gall, Christian, Hametner, Greta, Intorp, Stephanie, Luescher, Daniel, Haegeli, Laurent, Berg, Jan Christopher, Ebrahimi, Ramin, Auricchio, Angelo, Crljenica, Carmela, Moccetti, Tizziano, Monti, Cristina, Pasotti, Elena, Petrova, Iveta, Rossi, Mariagrazia, Mach, François, Namdar, Mehdi, de Groot, Joris, Proost, Virginnio, Neefs, Joline, Linz, Dominik, van Stipdonk, Twan, den Uijl, Dennis, Alings, Marco, Schaap, Jeroen, Segers, Dolf, Wouters, Noemi, Bartels, Louis, Tieleman, Robert, Pisters, Ron, de Vries, Tim, Selig, Jaap, Kuijper, Aaf, Bot, Pieter, Keijzers, Mitran, Verdel, Gerardus, Tukkie, Raymond, van den Bos, Ewout, Kauer, Floris, Oemrawsingh, Rohit, Stevenhagen, Jeroen, van Es, Jan, Lip, Gregory, Gupta, Dhiraj, Kotalczyk, Agnieszka, Gunstone, Anthony, Brixey, Richard David, Gorog, Diana, Dinarvand, Danial, Gue, Ying, Kanji, Rahim, Memtsas, Vassilios, Senior, Roxy, Bioh, Gabriel, Wong, Yuk-Ki, Child, Nick, Piccini, Jonathan P ^*, Caso, Valeria, Connolly, Stuart J, Fox, Keith A A, Oldgren, Jonas, Jones, W Schuyler, Gorog, Diana A, Durdil, Václav, Viethen, Thomas, Neumann, Christoph, Mundl, Hardi, Patel, Manesh R

Publikováno v: In The Lancet 9 April 2022 399(10333):1383-1390

Cyclic reduction densities for elliptic curves.

Autor: Campagna, Francesco¹ (AUTHOR) campagna@math.uni-hannover.de, Stevenhagen, Peter² (AUTHOR)

Publikováno v: Research in Number Theory. 7/31/2023, Vol. 9 Issue 3, p1-21. 21p.

Imaginary quadratic fields with isomorphic abelian Galois groups

Autor: Angelakis, Athanasios, Stevenhagen, Peter

Publikováno v: Everett W. Howe and Kiran Kedlaya, eds: ANTS X: Proceedings of the Tenth Algorithmic Number Theory Symposium, the Open Book Series 1, Mathematical Sciences Publishers, Berkeley, 2013

In 1976, Onabe discovered that, in contrast to the Neukirch-Uchida results that were proved around the same time, a number field $K$ is not completely characterized by its absolute abelian Galois group $A_K$. The first examples of non-isomorphic $K$

Externí odkaz: http://arxiv.org/abs/1209.6005