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Washington, Lawrence C.

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Author ID: washington.lawrence-c Recent zbMATH articles by "Washington, Lawrence C."
Published as: Washington, L.; Washington, L. C.; Washington, Lawrence; Washington, Lawrence C.
External Links: MGP · Wikidata · GND
Documents Indexed: 72 Publications since 1974, including 8 Books
Reviewing Activity: 141 Reviews

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 1,638 times in 1,417 Documents Cited by Year
Introduction to cyclotomic fields. Zbl 0484.12001
Washington, Lawrence C.
547
1982
Introduction to cyclotomic fields. 2nd ed. Zbl 0966.11047
Washington, Lawrence C.
540
1997
The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields. Zbl 0443.12001
Ferrero, Bruce; Washington, Lawrence C.
153
1979
Elliptic curves. Number theory and cryptography. 2nd ed. Zbl 1200.11043
Washington, Lawrence C.
52
2008
The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension. Zbl 0403.12007
Washington, Lawrence C.
41
1978
Quintic polynomials and real cyclotomic fields with large class numbers. Zbl 0649.12007
Schoof, René; Washington, Lawrence C.
36
1988
Elliptic curves. Number theory and cryptography. Zbl 1034.11037
Washington, Lawrence C.
28
2003
Class numbers of the simplest cubic fields. Zbl 0613.12002
Washington, Lawrence C.
26
1987
Class numbers and \(\mathbb Z_p\)-extensions. Zbl 0302.12007
Washington, Lawrence C.
23
1975
Class numbers of cyclotomic fields. Zbl 0582.12005
Cornell, Gary; Washington, Lawrence C.
20
1985
Introduction to cryptography with coding theory. 2nd ed. Zbl 1148.94002
Trappe, Wade; Washington, Lawrence C.
14
2006
On the distribution of divisor class groups of curves over a finite field. Zbl 0693.12013
Friedman, Eduardo; Washington, Lawrence C.
13
1989
Galois cohomology. Zbl 0928.12003
Washington, Lawrence C.
12
1997
\(p\)-adic \(L\)-functions and sums of powers. Zbl 0910.11047
Washington, Lawrence C.
11
1998
A family of cyclic quartic fields arising from modular curves. Zbl 0743.11058
Washington, Lawrence C.
10
1991
A note on p-adic L-functions. Zbl 0329.12017
Washington, L. C.
10
1976
Some remarks on Cohen-Lenstra heuristics. Zbl 0627.12002
Washington, Lawrence C.
8
1986
Counting spanning trees in the graphs of Kleitman and Golden and a generalization. Zbl 0569.05016
Vohra, R.; Washington, L.
7
1984
The calculation of a large cubic class number with an application to real cyclotomic fields. Zbl 0527.12004
Seah, Eric; Washington, Lawrence C.; Williams, Hugh C.
6
1983
Visibility of ideal classes. Zbl 1226.11123
Schoof, René; Washington, Lawrence C.
5
2010
A family of cubic fields and zeros of 3-adic \(L\)-functions. Zbl 0877.11054
Washington, Lawrence C.
5
1997
A note on the incongruence of consecutive integers to a fixed power. Zbl 0712.11003
Bremser, Priscilla S.; Schumer, Peter D.; Washington, Lawrence C.
5
1990
Relations between cyclotomic units and Smith equivalence of representations. Zbl 0681.57024
Dovermann, Karl Heinz; Washington, Lawrence C.
5
1989
Units of irregular cyclotomic fields. Zbl 0427.12004
Washington, Lawrence C.
5
1979
Heuristics for class numbers and lambda invariants. Zbl 1111.11049
Kraft, James S.; Washington, Lawrence C.
4
2007
Fourier transforms and the 2-adic span of periodic binary sequences. Zbl 0996.94029
Goresky, Mark; Klapper, Andrew M.; Washington, Lawrence
4
2000
Recent results on cyclotomic fields. Zbl 0502.12003
Washington, L.
4
1982
Iwasawa invariants of some non-cyclotomic \(\mathbb{Z}_p\)-extensions. Zbl 1455.11147
Hubbard, David; Washington, Lawrence C.
3
2018
Modification of Cohen-Lenstra heuristics for ideal class groups and numbers of certain real quadratic fields. Zbl 0914.11056
Washington, L. C.; Zhang, Xianke
3
1997
Siegel zeros for 2-adic \(L\)-functions. Zbl 0840.11050
Washington, Lawrence C.
3
1995
A family of real \(2^ n\)-tic fields. Zbl 0822.11071
Shen, Yuan-Yuan; Washington, Lawrence C.
3
1994
Zeroes of p-adic L-functions. Zbl 0495.12015
Washington, Lawrence C.
3
1982
An introduction to number theory with cryptography. Zbl 1288.11001
Kraft, James S.; Washington, Lawrence C.
2
2014
\(p\)-adic continued fractions. Zbl 1234.11089
Hirsh, Jordan; Washington, Lawrence C.
2
2011
A family of real \(p^ n\)-tic fields. Zbl 0834.11041
Shen, Yuan-Yuan; Washington, Lawrence C.
2
1995
\(p\)-adic \(L\)-functions and higher dimensional magic cubes. Zbl 0849.11093
Adler, Allan; Washington, Lawrence C.
2
1995
Homophonic quotients of free groups. Zbl 0818.20033
Mestre, Jean-François; Schoof, René; Washington, Lawrence; Zagier, Don
2
1993
Number fields and elliptic curves. Zbl 0693.14017
Washington, Lawrence C.
2
1989
Benford’s law for Fibonacci and Lucas numbers. Zbl 0455.10004
Washington, Lawrence C.
2
1981
Relative integral bases. Zbl 0331.12002
Washington, Lawrence C.
2
1976
Class numbers of elliptic function fields and the distribution of prime numbers. Zbl 0281.12013
Washington, Lawrence
2
1975
A family of cyclic quartic fields with explicit fundamental units. Zbl 1442.11141
Balady, Steve; Washington, Lawrence C.
1
2019
Arithmetic dynamics and dynamical units. Zbl 1291.37029
Panraksa, Chatchawan; Washington, Lawrence
1
2012
Kummer generators and lambda invariants. Zbl 1237.11047
Hubbard, David; Washington, Lawrence C.
1
2010
Zeros of 2-adic \(L\)-functions and congruences for class numbers and fundamental units. Zbl 0923.11149
Shanks, Daniel C.; Sime, Patrick J.; Washington, Lawrence C.
1
1999
Kummer’s lemma for prime power cyclotomic fields. Zbl 0746.11043
Washington, Lawrence C.
1
1992
Abelian number fields of small degree. Zbl 0732.11057
Washington, Lawrence C.
1
1990
Stickelberger’s theorem for cyclotomic fields, in the spirit of Kummer and Thaine. Zbl 0701.11050
Washington, Lawrence C.
1
1989
Class numbers and cyclotomic \(Z_ p-\)extensions. Zbl 0465.12003
Washington, Lawrence C.
1
1980
The calculation of \(L_p(1,\chi)\). Zbl 0363.12019
Washington, Lawrence C.
1
1977
On Fermat’s last theorem. Zbl 0337.10010
Washington, Lawrence C.
1
1977
On the self-duality of Q\(_p\). Zbl 0282.12013
Washington, Lawrence
1
1974
A family of cyclic quartic fields with explicit fundamental units. Zbl 1442.11141
Balady, Steve; Washington, Lawrence C.
1
2019
Iwasawa invariants of some non-cyclotomic \(\mathbb{Z}_p\)-extensions. Zbl 1455.11147
Hubbard, David; Washington, Lawrence C.
3
2018
An introduction to number theory with cryptography. Zbl 1288.11001
Kraft, James S.; Washington, Lawrence C.
2
2014
Arithmetic dynamics and dynamical units. Zbl 1291.37029
Panraksa, Chatchawan; Washington, Lawrence
1
2012
\(p\)-adic continued fractions. Zbl 1234.11089
Hirsh, Jordan; Washington, Lawrence C.
2
2011
Visibility of ideal classes. Zbl 1226.11123
Schoof, René; Washington, Lawrence C.
5
2010
Kummer generators and lambda invariants. Zbl 1237.11047
Hubbard, David; Washington, Lawrence C.
1
2010
Elliptic curves. Number theory and cryptography. 2nd ed. Zbl 1200.11043
Washington, Lawrence C.
52
2008
Heuristics for class numbers and lambda invariants. Zbl 1111.11049
Kraft, James S.; Washington, Lawrence C.
4
2007
Introduction to cryptography with coding theory. 2nd ed. Zbl 1148.94002
Trappe, Wade; Washington, Lawrence C.
14
2006
Elliptic curves. Number theory and cryptography. Zbl 1034.11037
Washington, Lawrence C.
28
2003
Fourier transforms and the 2-adic span of periodic binary sequences. Zbl 0996.94029
Goresky, Mark; Klapper, Andrew M.; Washington, Lawrence
4
2000
Zeros of 2-adic \(L\)-functions and congruences for class numbers and fundamental units. Zbl 0923.11149
Shanks, Daniel C.; Sime, Patrick J.; Washington, Lawrence C.
1
1999
\(p\)-adic \(L\)-functions and sums of powers. Zbl 0910.11047
Washington, Lawrence C.
11
1998
Introduction to cyclotomic fields. 2nd ed. Zbl 0966.11047
Washington, Lawrence C.
540
1997
Galois cohomology. Zbl 0928.12003
Washington, Lawrence C.
12
1997
A family of cubic fields and zeros of 3-adic \(L\)-functions. Zbl 0877.11054
Washington, Lawrence C.
5
1997
Modification of Cohen-Lenstra heuristics for ideal class groups and numbers of certain real quadratic fields. Zbl 0914.11056
Washington, L. C.; Zhang, Xianke
3
1997
Siegel zeros for 2-adic \(L\)-functions. Zbl 0840.11050
Washington, Lawrence C.
3
1995
A family of real \(p^ n\)-tic fields. Zbl 0834.11041
Shen, Yuan-Yuan; Washington, Lawrence C.
2
1995
\(p\)-adic \(L\)-functions and higher dimensional magic cubes. Zbl 0849.11093
Adler, Allan; Washington, Lawrence C.
2
1995
A family of real \(2^ n\)-tic fields. Zbl 0822.11071
Shen, Yuan-Yuan; Washington, Lawrence C.
3
1994
Homophonic quotients of free groups. Zbl 0818.20033
Mestre, Jean-François; Schoof, René; Washington, Lawrence; Zagier, Don
2
1993
Kummer’s lemma for prime power cyclotomic fields. Zbl 0746.11043
Washington, Lawrence C.
1
1992
A family of cyclic quartic fields arising from modular curves. Zbl 0743.11058
Washington, Lawrence C.
10
1991
A note on the incongruence of consecutive integers to a fixed power. Zbl 0712.11003
Bremser, Priscilla S.; Schumer, Peter D.; Washington, Lawrence C.
5
1990
Abelian number fields of small degree. Zbl 0732.11057
Washington, Lawrence C.
1
1990
On the distribution of divisor class groups of curves over a finite field. Zbl 0693.12013
Friedman, Eduardo; Washington, Lawrence C.
13
1989
Relations between cyclotomic units and Smith equivalence of representations. Zbl 0681.57024
Dovermann, Karl Heinz; Washington, Lawrence C.
5
1989
Number fields and elliptic curves. Zbl 0693.14017
Washington, Lawrence C.
2
1989
Stickelberger’s theorem for cyclotomic fields, in the spirit of Kummer and Thaine. Zbl 0701.11050
Washington, Lawrence C.
1
1989
Quintic polynomials and real cyclotomic fields with large class numbers. Zbl 0649.12007
Schoof, René; Washington, Lawrence C.
36
1988
Class numbers of the simplest cubic fields. Zbl 0613.12002
Washington, Lawrence C.
26
1987
Some remarks on Cohen-Lenstra heuristics. Zbl 0627.12002
Washington, Lawrence C.
8
1986
Class numbers of cyclotomic fields. Zbl 0582.12005
Cornell, Gary; Washington, Lawrence C.
20
1985
Counting spanning trees in the graphs of Kleitman and Golden and a generalization. Zbl 0569.05016
Vohra, R.; Washington, L.
7
1984
The calculation of a large cubic class number with an application to real cyclotomic fields. Zbl 0527.12004
Seah, Eric; Washington, Lawrence C.; Williams, Hugh C.
6
1983
Introduction to cyclotomic fields. Zbl 0484.12001
Washington, Lawrence C.
547
1982
Recent results on cyclotomic fields. Zbl 0502.12003
Washington, L.
4
1982
Zeroes of p-adic L-functions. Zbl 0495.12015
Washington, Lawrence C.
3
1982
Benford’s law for Fibonacci and Lucas numbers. Zbl 0455.10004
Washington, Lawrence C.
2
1981
Class numbers and cyclotomic \(Z_ p-\)extensions. Zbl 0465.12003
Washington, Lawrence C.
1
1980
The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields. Zbl 0443.12001
Ferrero, Bruce; Washington, Lawrence C.
153
1979
Units of irregular cyclotomic fields. Zbl 0427.12004
Washington, Lawrence C.
5
1979
The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension. Zbl 0403.12007
Washington, Lawrence C.
41
1978
The calculation of \(L_p(1,\chi)\). Zbl 0363.12019
Washington, Lawrence C.
1
1977
On Fermat’s last theorem. Zbl 0337.10010
Washington, Lawrence C.
1
1977
A note on p-adic L-functions. Zbl 0329.12017
Washington, L. C.
10
1976
Relative integral bases. Zbl 0331.12002
Washington, Lawrence C.
2
1976
Class numbers and \(\mathbb Z_p\)-extensions. Zbl 0302.12007
Washington, Lawrence C.
23
1975
Class numbers of elliptic function fields and the distribution of prime numbers. Zbl 0281.12013
Washington, Lawrence
2
1975
On the self-duality of Q\(_p\). Zbl 0282.12013
Washington, Lawrence
1
1974
all top 5

Cited by 1,350 Authors

44 Ichimura, Humio
27 Louboutin, Stéphane R.
15 Washington, Lawrence C.
14 Greither, Cornelius
13 Kim, Taekyun
12 Kim, Minsoo
12 Komatsu, Keiichi
12 Ozaki, Manabu
11 Horie, Kuniaki
11 Kwon, Soun-Hi
11 Sodaïgui, Bouchaïb
11 Young, Paul Thomas
10 Fujii, Satoshi
10 Metsänkylä, Tauno
10 Oh, Jangheon
10 Simsek, Yilmaz
9 Fukuda, Takashi
9 Itoh, Tsuyoshi
9 Kučera, Radan
9 Mizusawa, Yasushi
8 Qin, Hourong
8 Sumida-Takahashi, Hiroki
8 Thaine, Francisco
7 Gras, Georges
7 Hoechsmann, Klaus
7 Hu, Su
7 Kim, Jaemoon
7 Williams, Hugh Cowie
7 Zhang, Xianke
6 Agoh, Takashi
6 Anglès, Bruno
6 Chinburg, Ted
6 Hoshi, Akinari
6 Klosin, Krzysztof
6 Movahhedi, Abbas
6 Murty, Maruti Ram
6 Nakajima, Shōichi
6 Nickel, Andreas
6 Schoof, René
6 Seo, Soogil
6 Sun, Hae-Sang
6 Tsumura, Hirofumi
5 Amoroso, Francesco
5 Bars Cortina, Francesc
5 Farashahi, Reza Rezaeian
5 Friedman, Eduardo C.
5 Girstmair, Kurt
5 Hida, Haruzo
5 Huck, Christian
5 Jaulent, Jean-François
5 Johnston, Henri L. A.
5 Kim, Dae San
5 Kleine, Sören
5 Kurihara, Masato
5 Maire, Christian
5 Molteni, Giuseppe
5 Moree, Pieter
5 Morisawa, Takayuki
5 Mouhib, Ali
5 Nebe, Gabriele
5 Nguyen Quang Do, Thong
5 Okazaki, Ryotaro
5 Osada, Hiroyuki
5 Shiomi, Daisuke
5 Taya, Hisao
5 Urbanowicz, Jerzy
5 Zhou, Haiyan
5 Ziegler, Volker
4 Aoki, Miho
4 Byott, Nigel P.
4 Carmelo Interlando, J.
4 Childress, Nancy
4 Delbourgo, Daniel
4 Deng, Yingpu
4 Eie, Minking
4 Endo, Akira
4 Gillard, Roland
4 Gun, Sanoli
4 Helou, Charles
4 Jakubec, Stanislav
4 Kida, Masanari
4 Kolster, Manfred
4 Kraft, James Stuart
4 Lemmermeyer, Franz Josef
4 Luca, Florian
4 Matsuno, Kazuo
4 Mihăilescu, Preda
4 Ozden, Hacer
4 Park, Sun-Mi
4 Schmidt, Bernhard
4 Shparlinski, Igor E.
4 Skula, Ladislav
4 Solomon, David R.
4 Sutherland, Andrew V.
4 Tangedal, Brett A.
4 Tsuji, Takae
4 Ueki, Jun
4 van Wamelen, Paul B.
4 Zannier, Umberto M.
3 Ahmadi, Omran
...and 1,250 more Authors
all top 5

Cited in 204 Serials

267 Journal of Number Theory
79 Mathematics of Computation
55 Proceedings of the Japan Academy. Series A
50 Journal de Théorie des Nombres de Bordeaux
48 Journal of Algebra
44 Proceedings of the American Mathematical Society
41 Transactions of the American Mathematical Society
34 Manuscripta Mathematica
33 International Journal of Number Theory
27 Inventiones Mathematicae
27 Journal of Pure and Applied Algebra
25 Mathematische Annalen
24 Annales de l’Institut Fourier
24 Finite Fields and their Applications
23 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
18 Compositio Mathematica
16 Tokyo Journal of Mathematics
15 Duke Mathematical Journal
14 Communications in Algebra
14 Discrete Mathematics
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Journal of the Mathematical Society of Japan
13 Mathematische Zeitschrift
12 Advances in Mathematics
12 Archiv der Mathematik
11 Acta Arithmetica
11 Tohoku Mathematical Journal. Second Series
10 Nagoya Mathematical Journal
10 Osaka Journal of Mathematics
9 Rocky Mountain Journal of Mathematics
9 Functiones et Approximatio. Commentarii Mathematici
9 The Ramanujan Journal
8 Bulletin of the Australian Mathematical Society
8 Designs, Codes and Cryptography
8 Acta Mathematica et Informatica Universitatis Ostraviensis
8 Annales Mathématiques du Québec
7 Topology and its Applications
7 Linear Algebra and its Applications
7 Acta Mathematica Sinica. English Series
6 Israel Journal of Mathematics
6 Bulletin of the American Mathematical Society. New Series
6 Journal of the Australian Mathematical Society
6 Journal of Algebra and its Applications
5 Journal für die Reine und Angewandte Mathematik
5 European Journal of Combinatorics
5 Science in China. Series A
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Experimental Mathematics
5 Journal of Inequalities and Applications
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Communications in Mathematical Physics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal of Combinatorial Theory. Series A
4 Mathematica Slovaca
4 Memoirs of the American Mathematical Society
4 Monatshefte für Mathematik
4 Theoretical Computer Science
4 Journal of the American Mathematical Society
4 Applicable Algebra in Engineering, Communication and Computing
4 Russian Journal of Mathematical Physics
4 Annals of Mathematics. Second Series
4 Research in the Mathematical Sciences
4 Research in Number Theory
3 Computers & Mathematics with Applications
3 Journal of the Franklin Institute
3 Journal of Mathematical Analysis and Applications
3 Applied Mathematics and Computation
3 Journal of the London Mathematical Society. Second Series
3 Journal of Soviet Mathematics
3 Mathematische Nachrichten
3 Mathematika
3 Cryptologia
3 Journal of Symbolic Computation
3 \(K\)-Theory
3 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
3 Expositiones Mathematicae
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Algebraic Geometry
3 Geometry & Topology
2 Discrete Applied Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Mathematical Physics
2 Periodica Mathematica Hungarica
2 The Mathematical Intelligencer
2 Geometriae Dedicata
2 Glasgow Mathematical Journal
2 Illinois Journal of Mathematics
2 Publications Mathématiques
2 Journal of Computational and Applied Mathematics
2 Michigan Mathematical Journal
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the London Mathematical Society. Third Series
2 Acta Mathematica Hungarica
2 Discrete & Computational Geometry
2 Forum Mathematicum
2 International Journal of Mathematics
2 International Journal of Computer Mathematics
2 Chinese Science Bulletin
2 Indagationes Mathematicae. New Series
2 Cybernetics and Systems Analysis
...and 104 more Serials
all top 5

Cited in 48 Fields

1,248 Number theory (11-XX)
154 Algebraic geometry (14-XX)
79 Information and communication theory, circuits (94-XX)
75 Group theory and generalizations (20-XX)
59 \(K\)-theory (19-XX)
48 Field theory and polynomials (12-XX)
45 Combinatorics (05-XX)
34 Associative rings and algebras (16-XX)
27 Manifolds and cell complexes (57-XX)
25 Commutative algebra (13-XX)
23 Computer science (68-XX)
20 Convex and discrete geometry (52-XX)
18 Special functions (33-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Algebraic topology (55-XX)
10 Topological groups, Lie groups (22-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Quantum theory (81-XX)
8 Category theory; homological algebra (18-XX)
7 Geometry (51-XX)
6 History and biography (01-XX)
6 Functional analysis (46-XX)
5 Mathematical logic and foundations (03-XX)
5 Functions of a complex variable (30-XX)
5 Sequences, series, summability (40-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Nonassociative rings and algebras (17-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Abstract harmonic analysis (43-XX)
4 Probability theory and stochastic processes (60-XX)
3 General and overarching topics; collections (00-XX)
3 Measure and integration (28-XX)
2 Partial differential equations (35-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Statistics (62-XX)
2 Numerical analysis (65-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Real functions (26-XX)
1 Ordinary differential equations (34-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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