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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/
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Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 480 times in 293 Documents Cited by Year
Reciprocity laws. From Euler to Eisenstein. Zbl 0949.11002
Lemmermeyer, Franz
78
2000
Real quadratic fields with abelian 2-class field tower. Zbl 0919.11073
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C.
34
1998
Kuroda’s class number formula. Zbl 0807.11052
Lemmermeyer, Franz
33
1994
The Euclidean algorithm in algebraic number fields. Zbl 0843.11046
Lemmermeyer, Franz
30
1995
Ideal class groups of cyclotomic number fields. I. Zbl 0837.11059
Lemmermeyer, Franz
27
1995
The shaping of arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae. Zbl 1149.01001
17
2007
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.
17
1997
On 2-class field towers of imaginary quadratic number fields. Zbl 0826.11052
Lemmermeyer, Franz
15
1994
The theory of algebraic number fields. Transl. from the German by Iain T. Adamson. With an introduction by Franz Lemmermeyer and Norbert Schappacher. Zbl 0984.11001
Hilbert, David
15
1998
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.
14
1996
The ambiguous class number formula revisited. Zbl 1402.11133
Lemmermeyer, Franz
13
2013
Class field theory. The Bonn lectures. Edited by Alexander Schmidt. Translated from the German by F. Lemmermeyer and W. Snyder. Zbl 1282.11001
Neukirch, Jürgen
13
2013
Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\). Zbl 1045.11077
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
13
2003
Unramified quaternion extensions of quadratic number fields. Zbl 0890.11031
Lemmermeyer, Franz
13
1997
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
Simplest cubic fields. Zbl 0851.11059
Lemmermeyer, Franz; Pethö, Attila
8
1995
Counterexamples to the Hasse principle. Zbl 1294.11029
Aitken, W.; Lemmermeyer, F.
5
2011
A note on Pépin’s counterexamples to the Hasse principle for curves of genus 1. Zbl 0949.11019
Lemmermeyer, F.
5
1999
On Tate-Shafarevich groups of some elliptic curves. Zbl 0973.11061
Lemmermeyer, Franz
5
2000
Galois action on class groups. Zbl 1032.12008
Lemmermeyer, Franz
5
2003
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 \(\text{Cl}_ 2(k)\simeq(2,2^ m)\) and rank \(\text{Cl}_ 2(k^ 1)=2\). Zbl 1063.11038
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
5
2001
The construction of class fields. (Die Konstruktion von Klassenkörpern.) Zbl 0956.11515
Lemmermeyer, Franz Josef
4
1995
Emil Artin and Helmut Hasse. Their correspondence 1923–1934. With comments by Günther Frei and Peter Roquette with the collaboration of Franz Lemmermeyer. With an introduction in English. (Emil Artin und Helmut Hasse. Die Korrespondenz 1923–1934.) Zbl 1161.01002
4
2008
Correspondence of Leonhard Euler with Christian Goldbach. Part II. Edited by Martin Mattmüller and Franz Lemmermeyer. (Leonhardi Euleri commercium epistolicum cum Christiano Goldbach. Pars II.) Zbl 1361.01009
Euler, Leonhard
4
2015
Jacobi and Kummer’s ideal numbers. Zbl 1178.01020
Lemmermeyer, Franz
4
2009
Arithmetic of Pell surfaces. Zbl 1211.14026
Hambleton, S.; Lemmermeyer, F.
4
2011
Emil Artin and Helmut Hasse. The correspondence 1923–1958. Translated from the German by Franz Lemmermeyer. Zbl 1294.01004
4
2014
Why is the class number of \(\mathbb {Q}(\root 3\of {11})\) even? Zbl 1274.11162
Lemmermeyer, Franz
4
2013
Rational quartic reciprocity. Zbl 0833.11049
Lemmermeyer, Franz
4
1994
The quadratic reciprocity law. A collection of classical proofs. Edited and translated from the German by Franz Lemmermeyer. Zbl 1338.11003
Baumgart, Oswald
4
2015
Selmer groups and quadratic reciprocity. Zbl 1141.11051
Lemmermeyer, F.
3
2006
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
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
On the unit group of some multiquadratic number fields. Zbl 1221.11210
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, Chip
2
2007
Quadratic number fields. Zbl 07384464
Lemmermeyer, Franz
1
2021
Kronecker-Weber via Stickelberger. Zbl 1103.11030
Lemmermeyer, Franz
1
2005
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
1
2006
Ideal class groups of cyclotomic number fields. III. Zbl 1149.11050
Lemmermeyer, Franz
1
2008
A simple proof of the infinitude of primes. Zbl 1460.11012
Lemmermeyer, Franz
1
2020
Algebra 1. Fields and Galois theory. 4th ed. (Algebra 1. Körper und Galoistheorie.) Zbl 1144.12001
Lorenz, Falko; Lemmermeyer, Franz
1
2007
The correspondence Hasse – Scholz – Taussky. (Der Briefwechsel Hasse – Scholz – Taussky.) Zbl 1353.01002
1
2016
Quadratic number fields. An introduction with many examples. (Quadratische Zahlkörper. Eine Einführung mit vielen Beispielen.) Zbl 1393.11001
Lemmermeyer, Franz
1
2017
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
Circles and squares modulo \(p\). (Kreise und Quadrate modulo \(p\).) Zbl 1004.11002
Lemmermeyer, Franz
1
2000
Some families of non-congruent numbers. Zbl 1047.11055
Lemmermeyer, Franz
1
2003
Euler, Goldbach, and “Fermat’s theorem”. Zbl 1215.11039
Lemmermeyer, Franz
1
2010
Leonardo da Vinci’s proof of the Pythagorean theorem. Zbl 1442.01007
Lemmermeyer, Franz
1
2016
Euclidean windows. Zbl 1036.11051
Cavallar, Stefania; Lemmermeyer, Franz
1
2000
Quadratic number fields. Zbl 07384464
Lemmermeyer, Franz
1
2021
A simple proof of the infinitude of primes. Zbl 1460.11012
Lemmermeyer, Franz
1
2020
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
Quadratic number fields. An introduction with many examples. (Quadratische Zahlkörper. Eine Einführung mit vielen Beispielen.) Zbl 1393.11001
Lemmermeyer, Franz
1
2017
The correspondence Hasse – Scholz – Taussky. (Der Briefwechsel Hasse – Scholz – Taussky.) Zbl 1353.01002
1
2016
Leonardo da Vinci’s proof of the Pythagorean theorem. Zbl 1442.01007
Lemmermeyer, Franz
1
2016
Correspondence of Leonhard Euler with Christian Goldbach. Part II. Edited by Martin Mattmüller and Franz Lemmermeyer. (Leonhardi Euleri commercium epistolicum cum Christiano Goldbach. Pars II.) Zbl 1361.01009
Euler, Leonhard
4
2015
The quadratic reciprocity law. A collection of classical proofs. Edited and translated from the German by Franz Lemmermeyer. Zbl 1338.11003
Baumgart, Oswald
4
2015
Emil Artin and Helmut Hasse. The correspondence 1923–1958. Translated from the German by Franz Lemmermeyer. Zbl 1294.01004
4
2014
The ambiguous class number formula revisited. Zbl 1402.11133
Lemmermeyer, Franz
13
2013
Class field theory. The Bonn lectures. Edited by Alexander Schmidt. Translated from the German by F. Lemmermeyer and W. Snyder. Zbl 1282.11001
Neukirch, Jürgen
13
2013
Why is the class number of \(\mathbb {Q}(\root 3\of {11})\) even? Zbl 1274.11162
Lemmermeyer, Franz
4
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.
4
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
Emil Artin and Helmut Hasse. Their correspondence 1923–1934. With comments by Günther Frei and Peter Roquette with the collaboration of Franz Lemmermeyer. With an introduction in English. (Emil Artin und Helmut Hasse. Die Korrespondenz 1923–1934.) Zbl 1161.01002
4
2008
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
The shaping of arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae. Zbl 1149.01001
17
2007
On the unit group of some multiquadratic number fields. Zbl 1221.11210
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, Chip
2
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.
3
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
1
2006
Class groups of dihedral extensions. Zbl 1067.11069
Lemmermeyer, Franz
10
2005
Kronecker-Weber via Stickelberger. Zbl 1103.11030
Lemmermeyer, Franz
1
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
78
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.
5
1999
Real quadratic fields with abelian 2-class field tower. Zbl 0919.11073
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C.
34
1998
The theory of algebraic number fields. Transl. from the German by Iain T. Adamson. With an introduction by Franz Lemmermeyer and Norbert Schappacher. Zbl 0984.11001
Hilbert, David
15
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.
17
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.
14
1996
The Euclidean algorithm in algebraic number fields. Zbl 0843.11046
Lemmermeyer, Franz
30
1995
Ideal class groups of cyclotomic number fields. I. Zbl 0837.11059
Lemmermeyer, Franz
27
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
33
1994
On 2-class field towers of imaginary quadratic number fields. Zbl 0826.11052
Lemmermeyer, Franz
15
1994
Rational quartic reciprocity. Zbl 0833.11049
Lemmermeyer, Franz
4
1994
all top 5

Cited by 299 Authors

28 Azizi, Abdelmalek
19 Zekhnini, Abdelkader
18 Lemmermeyer, Franz Josef
15 Taous, Mohammed
12 Benjamin, Elliot
10 Louboutin, Stéphane R.
9 Kwon, Soun-Hi
8
7 Mizusawa, Yasushi
7 Mouhib, Ali
7 Zhao, Liangyi
6 Chems-Eddin, Mohamed Mahmoud
5 Bayer-Fluckiger, Eva
5 Jerrari, Idriss
5 Talbi, Mohammed
4 Cerri, Jean-Paul
4 Gao, Peng
4 McGown, Kevin J.
4 Tsumura, Hirofumi
4 Wakabayashi, Isao
3 Chang, Ku-Young
3 Li, Jianing
3 Maciak, Piotr
3 Maire, Christian
3 Mayer, Daniel C.
3 Nomura, Akito
3 Pethő, Attila
3 Pollack, Paul
3 Snyder, Chip
3 Yamamura, Ken
2 Atsuta, Mahiro
2 Avigad, Jeremy
2 Boutteaux, Gérard
2 Buratti, Marco
2 Chakraborty, Debopam
2 Flynn, Eugene Victor
2 Gras, Georges
2 Haynou, Mbarek
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 Rezzougui, Mohammed
2 Sadornil, Daniel
2 Saikia, Anupam
2 Srinivas, Kotyada
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 Antieau, Benjamin
1 Aouissi, Siham
1 Ashline, George Lawrence
1 Atake, Daisuke
1 Ayadi, Mohamed Ali
1 Bachmann, Henrik
1 Bartel, Alex
1 Bayad, Abdelmejid
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, Stephanie
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
...and 199 more Authors
all top 5

Cited in 95 Serials

48 Journal of Number Theory
23 Journal de Théorie des Nombres de Bordeaux
16 Mathematics of Computation
10 Acta Arithmetica
10 International Journal of Number Theory
7 Journal of Algebra
6 Transactions of the American Mathematical Society
6 The Ramanujan Journal
5 Rocky Mountain Journal of Mathematics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Proceedings of the Japan Academy. Series A
5 Journal of the Ramanujan Mathematical Society
4 Archive for History of Exact Sciences
4 Archiv der Mathematik
4 Functiones et Approximatio. Commentarii Mathematici
4 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
4 Journal of Symbolic Computation
4 Annales Mathématiques Blaise Pascal
3 Mathematische Semesterberichte
3 Periodica Mathematica Hungarica
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 Designs, Codes and Cryptography
3 Turkish Journal of Mathematics
3 Finite Fields and their Applications
3 Journal of Mathematical Cryptology
3 Research in Number Theory
2 Communications in Algebra
2 Journal of Mathematical Analysis and Applications
2 The Mathematical Intelligencer
2 Acta Mathematica Vietnamica
2 Advances in Mathematics
2 Canadian Mathematical Bulletin
2 Czechoslovak Mathematical Journal
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 Journal of the Australian Mathematical Society
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Annales Mathématiques du Québec
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
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 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Archivum Mathematicum
1 Canadian Journal of Mathematics
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 Mathematica Slovaca
1 Mathematika
1 Monatshefte für Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Synthese
1 Acta Mathematica Hungarica
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 The Electronic Journal of Combinatorics
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 Fundamenta Informaticae
1 La Gaceta de la Real Sociedad Matemática Española
1 Integers
1 Journal of Nonlinear Mathematical Physics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Algebra and its Applications
1 Journal of Discrete Algorithms
1 Algebra & Number Theory
1 The College Mathematics Journal
1 Applicable Analysis and Discrete Mathematics
1 International Electronic Journal of Geometry
1 Confluentes Mathematici
1 The Review of Symbolic Logic

Citations by Year

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