Lawrence C. Washington

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the Field Isomorphism Problem for the family of simplest quartic fields	2025	David L. Pincus Lawrence C. Washington
+ PDF Chat	The first level of $\mathbb{Z}_p$-extensions and compatibility of heuristics	2024	Debanjana Kundu Lawrence C. Washington
+	Sums of powers of primes II	2024	Lawrence C. Washington
+ PDF Chat	On the Field Isomorphism Problem for the Family of Simplest Quartic Fields	2024	David L. Pincus Lawrence C. Washington
+	Heuristics for Anti-cyclotomic ℤ<sub><i>p</i></sub>-extensions	2023	Debanjana Kundu Lawrence C. Washington
+	Review of: "Integer topological proof of Dirichlet's theorem"	2023	Lawrence C. Washington
+ PDF Chat	Relative ideal classes of arbitrary order	2023	David L. Pincus Lawrence C. Washington
+	Relative Ideal Classes of Arbitrary Order	2022	David L. Pincus Lawrence C. Washington
+	Heuristics for anti-cyclotomic $\mathbb{Z}_p$-extensions	2022	Debanjana Kundu Lawrence C. Washington
+	Sums of Powers of Primes II	2022	Lawrence C. Washington
+ PDF Chat	Dirichlet series expansions of p-adic L-functions	2021	Heiko Knospe Lawrence C. Washington
+ PDF Chat	An elliptic curve analogue of Pillai’s lower bound on primitive roots	2021	Steven Jin Lawrence C. Washington
+ PDF Chat	Class groups of real cyclotomic fields	2021	Mohit Mishra René Schoof Lawrence C. Washington
+	An Elliptic Curve Analogue of Pillai's Lower Bound on Primitive Roots	2021	Steven Jin Lawrence C. Washington
+ PDF Chat	Analogues of the Robin–Lagarias criteria for the Riemann hypothesis	2020	Lawrence C. Washington Ambrose Yang
+	Analogues of the Robin-Lagarias Criteria for the Riemann Hypothesis	2020	Lawrence C. Washington Ambrose Yang
+	Class groups of real cyclotomic fields	2020	Mohit Mishra René Schoof Lawrence C. Washington
+ PDF Chat	Explicit computations in Iwasawa theory	2019	Reinier Bröker David Hubbard Lawrence C. Washington
+ PDF Chat	A family of cyclic quartic fields with explicit fundamental units	2018	Steve Balady Lawrence C. Washington
+	On Sinnott’s Proof of the Vanishing of the Iwasawa Invariant $\mu_{p}$	2018	Lawrence C. Washington
+	Iwasawa invariants of some non-cyclotomic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-extensions	2018	David Hubbard Lawrence C. Washington
+	Geometry of Numbers	2018	James S. Kraft Lawrence C. Washington
+	The Distribution of Primes	2018	James S. Kraft Lawrence C. Washington
+	Fermat, Euler, and Wilson	2018	Lawrence C. Washington
+	A family of cyclic quartic fields with explicit fundamental units	2017	Steve Balady Lawrence C. Washington
+	The Coefficient-Choosing Game	2017	William Gasarch Lawrence C. Washington Sam Zbarsky
+	Iwasawa Invariants of Some Non-Cyclotomic $\mathbb Z_p$-extensions	2017	David Hubbard Lawrence C. Washington
+	A family of cyclic quartic fields with explicit fundamental units	2017	Steve Balady Lawrence C. Washington
+	Sums of powers of primes	2016	Jane Gerard Lawrence C. Washington
+	Real algebraic curves of constant width	2016	Chatchawan Panraksa Lawrence C. Washington
+	Epilogue: Fermat’s Last Theorem	2016	James S. Kraft Lawrence C. Washington
+	An Introduction to Number Theory with Cryptography	2016	James S. Kraft Lawrence C. Washington
+	P-adic continued fractions	2011	Jordan Hirsh Lawrence C. Washington
+	Visibility of ideal classes	2010	René Schoof Lawrence C. Washington
+	Kummer generators and lambda invariants	2009	David Hubbard Lawrence C. Washington
+	Elliptic Curves over C	2008	Lawrence C. Washington
+	Elliptic Curves: Number Theory and Cryptography, Second Edition	2008	Lawrence C. Washington
+	Elliptic Curves	2008	Lawrence C. Washington
+	Number theoretic algorithms for elliptic curves	2008	Lawrence C. Washington Juliana Belding
+	Visibility of ideal classes	2008	René Schoof Lawrence C. Washington
+	Kummer generators and lambda invariants	2008	David Hubbard Lawrence C. Washington
+ PDF Chat	Heuristics for class numbers and lambda invariants	2006	James S. Kraft Lawrence C. Washington
+	Elliptic Curves	2003	Lawrence C. Washington
+	Fourier transforms and the 2-adic span of periodic binary sequences	2000	Mark Goresky Andrew Klapper Lawrence C. Washington
+	Some Remarks on Fibonacci Matrices	1999	Lawrence C. Washington
+ PDF Chat	Zeros of 2-adic 𝐿-functions and congruences for class numbers and fundamental units	1999	Daniel Shanks Patrick J. Sime Lawrence C. Washington
+	Heuristics and related results on class groups of real quadratic fields	1998	Lawrence C. Washington Xianke Zhang
+	p-AdicL-Functions and Sums of Powers	1998	Lawrence C. Washington
+ PDF Chat	None	1998	Boyd B. Roberts Lawrence C. Washington
+	Modification of Cohen-Lenstra heuristics for ideal class groups and numbers of certain real quadratic fields	1997	Lawrence C. Washington Xianke Zhang
+	Ideal class groups and their subgroups of real quadratic fields	1997	Lawrence C. Washington Xianke Zhang
+	A Family of Cubic Fields and Zeros of 3-adicL-Functions	1997	Lawrence C. Washington
+	Fermat’s Last Theorem	1997	Lawrence C. Washington
+	Cyclotomic Fields of Class Number One	1997	Lawrence C. Washington
+	Iwasawa’s Construction of p-adic L-functions	1997	Lawrence C. Washington
+	p-adic L-functions and Bernoulli Numbers	1997	Lawrence C. Washington
+	Measures and Distributions	1997	Lawrence C. Washington
+	Galois Groups Acting on Ideal Class Groups	1997	Lawrence C. Washington
+	Stickelberger’s Theorem	1997	Lawrence C. Washington
+	Dirichlet L-series and Class Number Formulas	1997	Lawrence C. Washington
+	The Second Case of Fermat’s Last Theorem	1997	Lawrence C. Washington
+	The Kronecker—Weber Theorem	1997	Lawrence C. Washington
+	The Main Conjecture and Annihilation of Class Groups	1997	Lawrence C. Washington
+	Galois Cohomology	1997	Lawrence C. Washington
+	Dirichlet Characters	1997	Lawrence C. Washington
+	Cyclotomic Units	1997	Lawrence C. Washington
+	Miscellany	1997	Lawrence C. Washington
+	On the l-Adic Iwasawa λ-Invariant in A p-Extension	1995	Eduardo Friedman Jonathan W. Sands Lawrence C. Washington
+	p-Adic L-Functions and Higher-Dimensional Magic Cubes	1995	Allan Adler Lawrence C. Washington
+ PDF Chat	A Family of Real<i>P<sup>n</sup></i>-Tic Fields	1995	Yuan-Yuan Shen Lawrence C. Washington
+ PDF Chat	A family of real 2ⁿ-tic fields	1994	Y. Shen Lawrence C. Washington
+ PDF Chat	Quotients Homophones des Groupes Libres Homophonic Quotients of Free Groups	1993	lean-François Mestre René Schoof Lawrence C. Washington Don Zagier
+	Kummer's lemma for prime power cyclotomic fields	1992	Lawrence C. Washington
+ PDF Chat	A Family of Cyclic Quartic Fields Arising from Modular Curves	1991	Lawrence C. Washington
+ PDF Chat	A family of cyclic quartic fields arising from modular curves	1991	Lawrence C. Washington
+	A note on the incongruence of consecutive integers to a fixed power	1990	Priscilla Bremser Peter D. Schumer Lawrence C. Washington
+	On the distribution of divisor class groups of curves over a finite field	1989	Eduardo Friedman Lawrence C. Washington
+	Stickelberger's theorem for cyclotomic fields, in the spirit of Kummer and Thaine	1989	Lawrence C. Washington
+	Relations between cyclotomic units and Smith equivalence of representations	1989	Karl Heinz Dovermann Lawrence C. Washington
+	Quintic Polynomials and Real Cyclotomic Fields with Large Class Number	1988	René Schoof Lawrence C. Washington
+ PDF Chat	Quintic polynomials and real cyclotomic fields with large class numbers	1988	René Schoof Lawrence C. Washington
+ PDF Chat	Class numbers of the simplest cubic fields	1987	Lawrence C. Washington
+ PDF Chat	Class Numbers of the Simplest Cubic Fields	1987	Lawrence C. Washington
+ PDF Chat	Some Remarks on Cohen-Lenstra Heuristics	1986	Lawrence C. Washington
+ PDF Chat	Some remarks on Cohen-Lenstra heuristics	1986	Lawrence C. Washington
+	Class numbers of cyclotomic fields	1985	Gary Cornell Lawrence C. Washington
+ PDF Chat	On some cyclotomic congruences of F. Thaine	1985	Lawrence C. Washington
+ PDF Chat	On Some Cyclotomic Congruences of F. Thaine	1985	Lawrence C. Washington
+	Counting spanning trees in the graphs of Kleitman and Golden and a generalization	1984	Rakesh Vohra Lawrence C. Washington
+ PDF Chat	The Calculation of a Large Cubic Class Number with an Application to Real Cyclotomic Fields	1983	E. Seah Lawrence C. Washington Hugh C. Williams
+ PDF Chat	The calculation of a large cubic class number with an application to real cyclotomic fields	1983	E. Seah Lawrence C. Washington Hugh C. Williams
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington
+	Basic Results	1982	Lawrence C. Washington
+	Iwasawa’s Construction of p-adic L-functions	1982	Lawrence C. Washington
+	The Second Case of Fermat’s Last Theorem	1982	Lawrence C. Washington
+	Dirichlet L-series and Class Number Formulas	1982	Lawrence C. Washington
+	p-adic L-functions and Bernoulli Numbers	1982	Lawrence C. Washington
+	Dirichlet Characters	1982	Lawrence C. Washington
+	Fermat’s Last Theorem	1982	Lawrence C. Washington
+	Cyclotomic Units	1982	Lawrence C. Washington
+	Cyclotomic Fields of Class Number One	1982	Lawrence C. Washington
+	Stickelberger’s Theorem	1982	Lawrence C. Washington
+	Galois Groups Acting on Ideal Class Groups	1982	Lawrence C. Washington
+	Benford’s Law for Fibonacci and Lucas Numbers	1981	Lawrence C. Washington
+ PDF Chat	The derivative of p-adic L-functions	1981	Lawrence C. Washington
+ PDF Chat	Lectures on Fermat's Last Theorem	1981	Lawrence C. Washington Paulo Ribenboim
+	Zeros of p-adic L-functions	1981	Lawrence C. Washington
+	P-adic L-functions at s=0 and s=1	1981	Lawrence C. Washington
+	The Iwasawa Invariant μ p Vanishes for Abelian Number Fields	1979	Bruce Ferrero Lawrence C. Washington
+	Kummer's calculation of Lp (1,).	1979	Lawrence C. Washington
+	Fermat's Last Theorem. A Genetic Introduction to Algebraic Number Theory.	1978	Lawrence C. Washington Harold M. Edwards
+	Euler factors for<i>p</i>‐adic<i>L</i>‐functions	1978	Lawrence C. Washington
+	Erratum to "Relative Integral Bases"	1978	Lawrence C. Washington
+	The non-p-part of the class number in a cyclotomic ? p -extension	1978	Lawrence C. Washington
+ PDF Chat	Erratum to: “Relative integral bases” (Proc. Amer. Math. Soc. 56 (1976), 93–94)	1978	Lawrence C. Washington
+	The calculation of Lp(1, X)	1977	Lawrence C. Washington
+	The Class Number of the Field of 5 n th Roots of Unity	1976	Lawrence C. Washington
+	A note on p-adic L-functions	1976	Lawrence C. Washington
+ PDF Chat	Relative Integral Bases	1976	Lawrence C. Washington
+ PDF Chat	The class number of the field of 5ⁿth roots of unity	1976	Lawrence C. Washington
+ PDF Chat	Relative integral bases	1976	Lawrence C. Washington
+ PDF Chat	Class numbers of elliptic function fields and the distribution of prime numbers	1975	Lawrence C. Washington
+	On the Self-Duality of Q p	1974	Lawrence C. Washington
+	Heat Transfer and pressure drop in Rectangular Air Passage	1937	Lawrence C. Washington

Common Coauthors

Coauthor	Papers Together
René Schoof	7
David Hubbard	5
James S. Kraft	5
David L. Pincus	4
Debanjana Kundu	3
Steve Balady	3
Xianke Zhang	3
Hugh C. Williams	2
E. Seah	2
Eduardo Friedman	2
Steven Jin	2
Ambrose Yang	2
Mohit Mishra	2
Juliana Belding	1
Harold M. Edwards	1
Andrew Klapper	1
Daniel Shanks	1
Heiko Knospe	1
Bruce Ferrero	1
Jane Gerard	1
Allan Adler	1
Patrick J. Sime	1
William Gasarch	1
Gary Cornell	1
lean-François Mestre	1
Y. Shen	1
Reinier Bröker	1
Yuan-Yuan Shen	1
Boyd B. Roberts	1
Don Zagier	1
Paulo Ribenboim	1
Jonathan W. Sands	1
Rakesh Vohra	1
Karl Heinz Dovermann	1
Chatchawan Panraksa	1
Sam Zbarsky	1
Peter D. Schumer	1
Priscilla Bremser	1
Jordan Hirsh	1
Mark Goresky	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	15
+	Class numbers of cyclotomic fields	1985	Gary Cornell Lawrence C. Washington	8
+ PDF Chat	The simplest cubic fields	1974	Daniel Shanks	8
+ PDF Chat	Heuristics on class groups of number fields	1984	Henri Cohen H. W. Lenstra	8
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	6
+ PDF Chat	The Simplest Cubic Fields	1974	Daniel Shanks	5
+ PDF Chat	Connection Between Gaussian Periods and Cyclic Units	1988	Emma Lehmer	4
+	The Iwasawa Invariant μ p Vanishes for Abelian Number Fields	1979	Bruce Ferrero Lawrence C. Washington	4
+ PDF Chat	Class number computations of real abelian number fields	1982	F. J. van der Linden	4
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen	4
+ PDF Chat	Examples of Iwasawa invariants, II	1975	Robert S. Gold	4
+ PDF Chat	Special units in real cyclic sextic fields	1987	Marie-Nicole Gras	3
+	Computation of Iwasawa Lambda invariants for imaginary quadratic fields	1991	David S. Dummit D. Ford Hershy Kisilevsky Jonathan W. Sands	3
+	Algebraic number theory	1966	Raghavan Narasimhan	3
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	3
+ PDF Chat	Connection between Gaussian periods and cyclic units	1988	Emma Lehmer	3
+ PDF Chat	The Calculation of a Large Cubic Class Number with an Application to Real Cyclotomic Fields	1983	E. Seah Lawrence C. Washington Hugh C. Williams	3
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	3
+ PDF Chat	Number Theory Noordwijkerhout 1983	1984		3
+ PDF Chat	Quintic polynomials and real cyclotomic fields with large class numbers	1988	René Schoof Lawrence C. Washington	3
+ PDF Chat	Class numbers of cubic cyclic fields	1974	Kôji Uchida	3
+	Arithmetique des corps quadratiques reels et fractions continues	1987	Stéphane Louboutin	3
+	Lectures on p-adic L-functions	1972	Kenkichi Iwasawa	3
+	Algebraic Number Theory	1994	Serge Lang	3
+ PDF Chat	Special Units in Real Cyclic Sextic Fields	1987	Marie-Nicole Gras	3
+	Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper	1965	Helmut Hasse	2
+	Polynomials generalizing binomial coefficients and their application to the study of Fermat's last theorem	1982	F. Thaine	2
+ PDF Chat	A note on the different of the composed field	1955	Hiraku Tôyama	2
+ PDF Chat	Abundant Numbers and the Riemann Hypothesis	2006	Keith Briggs	2
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	2
+	On invisible elements of the Tate-Shafarevich group	1999	Amod Agashé	2
+ PDF Chat	Integral bases for bicyclic biquadratic fields over quadratic subfields	1976	Robert H. Bird Charles J. Parry	2
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	2
+	On Character Sums and Primitive Roots<sup>†</sup>	1962	D. A. Burgess	2
+	l-Extensions of CM-fields and cyclotomic invariants	1980	Yûji Kida	2
+	The Riemann hypothesis and an upper bound of the divisor function for odd integers	2014	Ick Sun Eum Ja Kyung Koo	2
+	Modification of Cohen-Lenstra heuristics for ideal class groups and numbers of certain real quadratic fields	1997	Lawrence C. Washington Xianke Zhang	2
+	The class group of all cyclotomic integers	1981	Armand Brumer	2
+ PDF Chat	Ueber die Klassenzahl eines relativzyklischen Zahlkörpers von Primzahlgrad	1933	Mikao Moriya	2
+	Dihedral side extensions and class groups	2007	David Hubbard	2
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	2
+	On the class-number of the maximal real subfield of a cyclotomic field.	1965	N. C. Ankeny S. Chowla Helmut Hasse	2
+ PDF Chat	The calculation of a large cubic class number with an application to real cyclotomic fields	1983	E. Seah Lawrence C. Washington Hugh C. Williams	2
+ PDF Chat	Real quadratic fields with class numbers divisible by n	1973	P. Weinberger	2
+	Nombre de classes d'une extension cyclique reelle deQ, de degre 4 ou 6 et de conducteur premier	1981	Claude Moser À Grenoble	2
+	Class numbers of real cyclotomic fields of prime conductor	2002	René Schoof	2
+ PDF Chat	Relative integral bases	1976	Lawrence C. Washington	2
+	Die Anzahl der durch vier teilbaren Invarianten der Klassengruppe eines beliebigen quadratischen Zahlkörpers.	1934	L. Rédei H. Reichardt	2
+ PDF Chat	On cyclotomic ${\bf Z}_{2}$-extensions of imaginary quadratic fields	1979	Yûji Kida	2
+ PDF Chat	On the least primitive root of a prime	1942	Loo-Keng Hua	2