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Lemmermeyer, Franz Josef

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Author ID: lemmermeyer.franz-josef Recent zbMATH articles by "Lemmermeyer, Franz Josef"
Published as: Lemmermeyer, Franz; Lemmermeyer, F.; Lemmermeyer, Franz Josef
Homepage: http://www.rzuser.uni-heidelberg.de/~hb3/
External Links: IdRef · MGP · Wikidata · dblp · GND
Documents Indexed: 65 Publications since 1994, including 11 Books
Reviewing Activity: 974 Reviews

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 385 times in 261 Documents Cited by Year
Reciprocity laws. From Euler to Eisenstein. Zbl 0949.11002
Lemmermeyer, Franz
69
2000
Real quadratic fields with abelian 2-class field tower. Zbl 0919.11073
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C.
32
1998
Kuroda’s class number formula. Zbl 0807.11052
Lemmermeyer, Franz
29
1994
The Euclidean algorithm in algebraic number fields. Zbl 0843.11046
Lemmermeyer, Franz
28
1995
Ideal class groups of cyclotomic number fields. I. Zbl 0837.11059
Lemmermeyer, Franz
24
1995
Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\). Zbl 0919.11074
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
17
1997
On 2-class field towers of some imaginary quadratic number fields. Zbl 0919.11075
Lemmermeyer, F.
16
1997
On 2-class field towers of imaginary quadratic number fields. Zbl 0826.11052
Lemmermeyer, Franz
13
1994
Unramified quaternion extensions of quadratic number fields. Zbl 0890.11031
Lemmermeyer, Franz
13
1997
Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\). Zbl 1045.11077
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
13
2003
On the family of Thue equations \(x^ 3 - (n-1)x^ 2y - (n+2)xy^ 2 - y^ 3 = k\). Zbl 0862.11028
Mignotte, M.; Pethö, A.; Lemmermeyer, F.
12
1996
The class number one problem for some non-abelian normal CM-fields of degree 24. Zbl 1010.11063
Lemmermeyer, F.; Louboutin, S.; Okazaki, R.
11
1999
Class groups of dihedral extensions. Zbl 1067.11069
Lemmermeyer, Franz
10
2005
The ambiguous class number formula revisited. Zbl 1402.11133
Lemmermeyer, Franz
10
2013
Simplest cubic fields. Zbl 0851.11059
Lemmermeyer, Franz; Pethö, Attila
8
1995
On Tate-Shafarevich groups of some elliptic curves. Zbl 0973.11061
Lemmermeyer, Franz
5
2000
Imaginary quadratic fields \(k\) with \(\text{Cl}_ 2(k)\simeq(2,2^ m)\) and rank \(\text{Cl}_ 2(k^ 1)=2\). Zbl 1063.11038
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
5
2001
Ideal class groups of cyclotomic number fields. II. Zbl 0901.11031
Lemmermeyer, Franz
5
1998
The Euclidean algorithm in cubic number fields. Zbl 0918.11057
Cavallar, Stefania; Lemmermeyer, Franz
5
1998
Galois action on class groups. Zbl 1032.12008
Lemmermeyer, Franz
5
2003
Counterexamples to the Hasse principle. Zbl 1294.11029
Aitken, W.; Lemmermeyer, F.
5
2011
The construction of class fields. (Die Konstruktion von Klassenkörpern.) Zbl 0956.11515
Lemmermeyer, Franz Josef
4
1995
Jacobi and Kummer’s ideal numbers. Zbl 1178.01020
Lemmermeyer, Franz
4
2009
A note on Pépin’s counterexamples to the Hasse principle for curves of genus 1. Zbl 0949.11019
Lemmermeyer, F.
4
1999
Rational quartic reciprocity. Zbl 0833.11049
Lemmermeyer, Franz
4
1994
Emil Artin and Helmut Hasse. The correspondence 1923–1958. Translated from the German by Franz Lemmermeyer. Zbl 1294.01004
Frei, Günther (ed.); Lemmermeyer, Franz (ed.); Roquette, Peter J. (ed.)
4
2014
Number theory of the Greeks. I: Euclid’s fundamental theorem of arithmetics. (Zur Zahlentheorie der Griechen. I: Euklids Fundamentalsatz der Arithmetik.) Zbl 1245.01011
Lemmermeyer, Franz
3
2008
On Tate-Shafarevich groups of \(y^2=x(x^2-k^2)\). Zbl 1097.11012
Lemmermeyer, F.; Mollin, R.
3
2003
Why is the class number of \(\mathbb {Q}(\root 3\of {11})\) even? Zbl 1274.11162
Lemmermeyer, Franz
3
2013
Arithmetic of Pell surfaces. Zbl 1211.14026
Hambleton, S.; Lemmermeyer, F.
2
2011
Parametrization of algebraic curves from a number theorist’s point of view. Zbl 1264.11024
Lemmermeyer, F.
2
2012
Relations in the 2-class group of quadratic number fields. Zbl 1294.11190
Lemmermeyer, F.
2
2012
David Hilbert: The theory of algebraic number fields. Jahresber. Deutsche Math. Ver. 4 (1897), 175–546. (David Hilbert: Die Theorie der algebraischen Zahlkörper. Jahresber. Deutsche Math. Ver. 4 (1897), 175–546.) Zbl 1397.01016
Lemmermeyer, Franz
2
2018
Selmer groups and quadratic reciprocity. Zbl 1141.11051
Lemmermeyer, F.
2
2006
Helmut Hasse and Emmy Noether. Their correspondence 1925–1935. With comments and an introduction in English. (Helmut Hasse und Emmy Noether. Die Korrespondenz 1925–1935.) Zbl 1101.01010
Lemmermeyer, Franz (ed.); Roquette, Peter (ed.)
1
2006
Euler, Goldbach, and “Fermat’s theorem”. Zbl 1215.11039
Lemmermeyer, Franz
1
2010
On the unit group of some multiquadratic number fields. Zbl 1221.11210
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, Chip
1
2007
The correspondence Hasse – Scholz – Taussky. (Der Briefwechsel Hasse – Scholz – Taussky.) Zbl 1353.01002
Lemmermeyer, Franz (ed.); Roquette, Peter (ed.)
1
2016
Circles and squares modulo \(p\). (Kreise und Quadrate modulo \(p\).) Zbl 1004.11002
Lemmermeyer, Franz
1
2000
Euclidean windows. Zbl 1036.11051
Cavallar, Stefania; Lemmermeyer, Franz
1
2000
Some families of non-congruent numbers. Zbl 1047.11055
Lemmermeyer, Franz
1
2003
Number theory of the Greeks. II: Gauss lemmas and Riesz rings. (Zur Zahlentheorie der Griechen. II: Gaußsche Lemmas und Rieszsche Ringe.) Zbl 1184.01006
Lemmermeyer, Franz
1
2009
Leonardo da Vinci’s proof of the Pythagorean theorem. Zbl 1442.01007
Lemmermeyer, Franz
1
2016
Algebra 1. Fields and Galois theory. 4th ed. (Algebra 1. Körper und Galoistheorie.) Zbl 1144.12001
Lorenz, Falko; Lemmermeyer, Franz
1
2007
Ideal class groups of cyclotomic number fields. III. Zbl 1149.11050
Lemmermeyer, Franz
1
2008
David Hilbert: The theory of algebraic number fields. Jahresber. Deutsche Math. Ver. 4 (1897), 175–546. (David Hilbert: Die Theorie der algebraischen Zahlkörper. Jahresber. Deutsche Math. Ver. 4 (1897), 175–546.) Zbl 1397.01016
Lemmermeyer, Franz
2
2018
The correspondence Hasse – Scholz – Taussky. (Der Briefwechsel Hasse – Scholz – Taussky.) Zbl 1353.01002
Lemmermeyer, Franz; Roquette, Peter
1
2016
Leonardo da Vinci’s proof of the Pythagorean theorem. Zbl 1442.01007
Lemmermeyer, Franz
1
2016
Emil Artin and Helmut Hasse. The correspondence 1923–1958. Translated from the German by Franz Lemmermeyer. Zbl 1294.01004
Frei, Günther; Lemmermeyer, Franz; Roquette, Peter J.
4
2014
The ambiguous class number formula revisited. Zbl 1402.11133
Lemmermeyer, Franz
10
2013
Why is the class number of \(\mathbb {Q}(\root 3\of {11})\) even? Zbl 1274.11162
Lemmermeyer, Franz
3
2013
Parametrization of algebraic curves from a number theorist’s point of view. Zbl 1264.11024
Lemmermeyer, F.
2
2012
Relations in the 2-class group of quadratic number fields. Zbl 1294.11190
Lemmermeyer, F.
2
2012
Counterexamples to the Hasse principle. Zbl 1294.11029
Aitken, W.; Lemmermeyer, F.
5
2011
Arithmetic of Pell surfaces. Zbl 1211.14026
Hambleton, S.; Lemmermeyer, F.
2
2011
Euler, Goldbach, and “Fermat’s theorem”. Zbl 1215.11039
Lemmermeyer, Franz
1
2010
Jacobi and Kummer’s ideal numbers. Zbl 1178.01020
Lemmermeyer, Franz
4
2009
Number theory of the Greeks. II: Gauss lemmas and Riesz rings. (Zur Zahlentheorie der Griechen. II: Gaußsche Lemmas und Rieszsche Ringe.) Zbl 1184.01006
Lemmermeyer, Franz
1
2009
Number theory of the Greeks. I: Euclid’s fundamental theorem of arithmetics. (Zur Zahlentheorie der Griechen. I: Euklids Fundamentalsatz der Arithmetik.) Zbl 1245.01011
Lemmermeyer, Franz
3
2008
Ideal class groups of cyclotomic number fields. III. Zbl 1149.11050
Lemmermeyer, Franz
1
2008
On the unit group of some multiquadratic number fields. Zbl 1221.11210
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, Chip
1
2007
Algebra 1. Fields and Galois theory. 4th ed. (Algebra 1. Körper und Galoistheorie.) Zbl 1144.12001
Lorenz, Falko; Lemmermeyer, Franz
1
2007
Selmer groups and quadratic reciprocity. Zbl 1141.11051
Lemmermeyer, F.
2
2006
Helmut Hasse and Emmy Noether. Their correspondence 1925–1935. With comments and an introduction in English. (Helmut Hasse und Emmy Noether. Die Korrespondenz 1925–1935.) Zbl 1101.01010
Lemmermeyer, Franz; Roquette, Peter
1
2006
Class groups of dihedral extensions. Zbl 1067.11069
Lemmermeyer, Franz
10
2005
Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\). Zbl 1045.11077
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
13
2003
Galois action on class groups. Zbl 1032.12008
Lemmermeyer, Franz
5
2003
On Tate-Shafarevich groups of \(y^2=x(x^2-k^2)\). Zbl 1097.11012
Lemmermeyer, F.; Mollin, R.
3
2003
Some families of non-congruent numbers. Zbl 1047.11055
Lemmermeyer, Franz
1
2003
Imaginary quadratic fields \(k\) with \(\text{Cl}_ 2(k)\simeq(2,2^ m)\) and rank \(\text{Cl}_ 2(k^ 1)=2\). Zbl 1063.11038
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
5
2001
Reciprocity laws. From Euler to Eisenstein. Zbl 0949.11002
Lemmermeyer, Franz
69
2000
On Tate-Shafarevich groups of some elliptic curves. Zbl 0973.11061
Lemmermeyer, Franz
5
2000
Circles and squares modulo \(p\). (Kreise und Quadrate modulo \(p\).) Zbl 1004.11002
Lemmermeyer, Franz
1
2000
Euclidean windows. Zbl 1036.11051
Cavallar, Stefania; Lemmermeyer, Franz
1
2000
The class number one problem for some non-abelian normal CM-fields of degree 24. Zbl 1010.11063
Lemmermeyer, F.; Louboutin, S.; Okazaki, R.
11
1999
A note on Pépin’s counterexamples to the Hasse principle for curves of genus 1. Zbl 0949.11019
Lemmermeyer, F.
4
1999
Real quadratic fields with abelian 2-class field tower. Zbl 0919.11073
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C.
32
1998
Ideal class groups of cyclotomic number fields. II. Zbl 0901.11031
Lemmermeyer, Franz
5
1998
The Euclidean algorithm in cubic number fields. Zbl 0918.11057
Cavallar, Stefania; Lemmermeyer, Franz
5
1998
Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\). Zbl 0919.11074
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
17
1997
On 2-class field towers of some imaginary quadratic number fields. Zbl 0919.11075
Lemmermeyer, F.
16
1997
Unramified quaternion extensions of quadratic number fields. Zbl 0890.11031
Lemmermeyer, Franz
13
1997
On the family of Thue equations \(x^ 3 - (n-1)x^ 2y - (n+2)xy^ 2 - y^ 3 = k\). Zbl 0862.11028
Mignotte, M.; Pethö, A.; Lemmermeyer, F.
12
1996
The Euclidean algorithm in algebraic number fields. Zbl 0843.11046
Lemmermeyer, Franz
28
1995
Ideal class groups of cyclotomic number fields. I. Zbl 0837.11059
Lemmermeyer, Franz
24
1995
Simplest cubic fields. Zbl 0851.11059
Lemmermeyer, Franz; Pethö, Attila
8
1995
The construction of class fields. (Die Konstruktion von Klassenkörpern.) Zbl 0956.11515
Lemmermeyer, Franz Josef
4
1995
Kuroda’s class number formula. Zbl 0807.11052
Lemmermeyer, Franz
29
1994
On 2-class field towers of imaginary quadratic number fields. Zbl 0826.11052
Lemmermeyer, Franz
13
1994
Rational quartic reciprocity. Zbl 0833.11049
Lemmermeyer, Franz
4
1994
all top 5

Cited by 261 Authors

25 Azizi, Abdelmalek
18 Lemmermeyer, Franz Josef
17 Zekhnini, Abdelkader
14 Taous, Mohammed
12 Benjamin, Elliot
10 Louboutin, Stéphane R.
9 Kwon, Soun-Hi
8
7 Snyder, Chip
6 Mizusawa, Yasushi
6 Mouhib, Ali
5 Bayer-Fluckiger, Eva
4 Cerri, Jean-Paul
4 Gao, Peng
4 Jerrari, Idriss
4 McGown, Kevin J.
4 Tsumura, Hirofumi
4 Wakabayashi, Isao
4 Zhao, Liangyi
3 Chang, Ku-Young
3 Maciak, Piotr
3 Maire, Christian
3 Mayer, Daniel C.
3 Nomura, Akito
3 Pethő, Attila
3 Pollack, Paul
3 Yamamura, Ken
2 Atsuta, Mahiro
2 Avigad, Jeremy
2 Boutteaux, Gérard
2 Buratti, Marco
2 Chakraborty, Debopam
2 Chems-Eddin, Mohamed Mahmoud
2 Flynn, Eugene Victor
2 Gras, Georges
2 Heuberger, Clemens
2 Ismaili, Moulay Chrif
2 Joye, Marc
2 Lee, Geon-No
2 Lezowski, Pierre
2 Naccache, David
2 Nguyen Ngoc Dong Quan
2 Ott, Udo
2 Park, Sun-Mi
2 Saikia, Anupam
2 Sun, Zhihong
2 Thuswaldner, Jörg Maximilian
2 Weilert, André
2 Yamamoto, Kota
2 Yang, Hee-Sun
2 Yue, Qin
2 Ziegler, Volker
1 Abatzoglou, Alexander
1 Adelstein, Ian M.
1 Agathocleous, Eleni
1 Agnihotri, Rishabh
1 Ahn, Jeoung-Hwan
1 Akbary, Amir
1 Alberts, Brandon
1 Alexanderson, Gerald L.
1 Amano, Fumiya
1 Amram, Meirav
1 Andrica, Dorin
1 Aouissi, Siham
1 Ashline, George Lawrence
1 Atake, Daisuke
1 Ayadi, Mohamed Ali
1 Bachmann, Henrik
1 Bartel, Alex
1 Beli, Constantin-Nicolae
1 Benli, Kübra
1 Bennett-Tennenhaus, Raphael
1 Bérczes, Attila
1 Bluher, Antonia Wilson
1 Bonifant, Araceli M.
1 Borello, Martino
1 Boston, Nigel
1 Boucard, Jenny
1 Brier, Eric
1 Budden, Mark R.
1 Bush, Michael R.
1 Caputo, Luca
1 Chabert, Jean-Luc
1 Chakraborty, Kalyan
1 Chan, Wai Kiu
1 Chen, Jianhua
1 Cho, Peter Jaehyun
1 Chung, Hee-Joong
1 Cima, Anna
1 Clark, David Alan
1 Clark, Peter Louis
1 Cohen, Henri
1 Conidis, Chris J.
1 Cox, David A.
1 Crişan, Vlad
1 Dagan, Miriam
1 Dakkak, Ahmed
1 Damgård, Ivan Bjerre
1 Del Centina, Andrea
1 Deng, Yingpu
...and 161 more Authors
all top 5

Cited in 84 Serials

46 Journal of Number Theory
23 Journal de Théorie des Nombres de Bordeaux
16 Mathematics of Computation
9 Acta Arithmetica
9 International Journal of Number Theory
7 Journal of Algebra
6 Transactions of the American Mathematical Society
5 Rocky Mountain Journal of Mathematics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Proceedings of the Japan Academy. Series A
5 The Ramanujan Journal
4 Archive for History of Exact Sciences
4 Archiv der Mathematik
4 Proceedings of the American Mathematical Society
4 Journal of Symbolic Computation
4 Annales Mathématiques Blaise Pascal
3 Mathematische Semesterberichte
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 Designs, Codes and Cryptography
3 Finite Fields and their Applications
3 Journal of Mathematical Cryptology
2 Communications in Algebra
2 Journal of Mathematical Analysis and Applications
2 The Mathematical Intelligencer
2 Acta Mathematica Vietnamica
2 Advances in Mathematics
2 Czechoslovak Mathematical Journal
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Nagoya Mathematical Journal
2 Results in Mathematics
2 Tokyo Journal of Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Annales Mathématiques du Québec
2 Research in Number Theory
1 American Mathematical Monthly
1 International Journal of Mathematical Education in Science and Technology
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 The Mathematical Gazette
1 Periodica Mathematica Hungarica
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Archivum Mathematicum
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Differential Equations
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Mathematika
1 Monatshefte für Mathematik
1 Synthese
1 Science in China. Series A
1 L’Enseignement Mathématique. 2e Série
1 Historia Mathematica
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Applicable Algebra in Engineering, Communication and Computing
1 Experimental Mathematics
1 Turkish Journal of Mathematics
1 The New York Journal of Mathematics
1 Arab Journal of Mathematical Sciences
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 LMS Journal of Computation and Mathematics
1 Integers
1 Journal of Nonlinear Mathematical Physics
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Algebra and its Applications
1 Journal of Discrete Algorithms
1 The College Mathematics Journal
1 International Electronic Journal of Geometry
1 Confluentes Mathematici
1 The Review of Symbolic Logic

Citations by Year

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