Kenneth Ireland

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All published works

Action	Title	Year	Authors
+	Cubic and Biquadratic Reciprocity	1990	Kenneth Ireland Michael Rosen
+	The Stickelberger Relation and the Eisenstein Reciprocity Law	1990	Kenneth Ireland Michael Rosen
+	The Zeta Function	1990	Kenneth Ireland Michael Rosen
+	Dirichlet L-functions	1990	Kenneth Ireland Michael Rosen
+	The Structure of U(ℤ/nℤ)	1990	Kenneth Ireland Michael Rosen
+	Equations over Finite Fields	1990	Kenneth Ireland Michael Rosen
+	Gauss and Jacobi Sums	1990	Kenneth Ireland Michael Rosen
+	New Progress in Arithmetic Geometry	1990	Kenneth Ireland Michael Rosen
+	Algebraic Number Theory	1990	Kenneth Ireland Michael Rosen
+	Quadratic Gauss Sums	1990	Kenneth Ireland Michael Rosen
+ PDF Chat	A Classical Introduction to Modern Number Theory	1990	Kenneth Ireland Michael Rosen
+	Bernoulli Numbers	1990	Kenneth Ireland Michael Rosen
+	Elliptic Curves	1990	Kenneth Ireland Michael J. Rosen
+	Quadratic and Cyclotomic Fields	1990	Kenneth Ireland Michael Rosen
+	Diophantine Equations	1990	Kenneth Ireland Michael Rosen
+	Finite Fields	1990	Kenneth Ireland Michael J. Rosen
+	Quadratic Reciprocity	1990	Kenneth Ireland Michael Rosen
+	The Mordell-Weil Theorem	1990	Kenneth Ireland Michael Rosen
+ PDF Chat	Class Numbers of Cyclotomic Function Fields	1986	Kenneth Ireland Robert D. Small
+ PDF Chat	A Note on Bernoulli-Goss Polynomials	1984	Kenneth Ireland Donald B. Small
+	Quadratic and Cyclotomic Fields	1982	Kenneth Ireland Michael Rosen
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen
+	Cubic and Biquadratic Reciprocity	1982	Kenneth Ireland Michael Rosen
+	Diophantine Equations	1982	Kenneth Ireland Michael Rosen
+	The Stickelberger Relation and the Eisenstein Reciprocity Law	1982	Kenneth Ireland Michael Rosen
+	The Zeta Function	1982	Kenneth Ireland Michael Rosen
+	Equations over Finite Fields	1982	Kenneth Ireland Michael Rosen
+	Bernoulli Numbers	1982	Kenneth Ireland Michael J. Rosen
+	Elliptic Curves	1982	Kenneth Ireland Michael Rosen
+	Algebraic Number Theory	1982	Kenneth Ireland Michael Rosen
+	Gauss and Jacobi Sums	1982	Kenneth Ireland Michael Rosen
+	Finite Fields	1982	Kenneth Ireland Michael Rosen
+	The Structure of U(ℤ/nℤ)	1982	Kenneth Ireland Michael Rosen
+	Quadratic Reciprocity	1982	Kenneth Ireland Michael Rosen
+	Dirichlet L-functions	1982	Kenneth Ireland Michael Rosen
+	Unique Factorization	1982	Kenneth Ireland Michael Rosen
+	Quadratic Gauss Sums	1982	Kenneth Ireland Michael Rosen
+	Elements of number theory;: Including an introduction to equations over finite fields	1972	Kenneth Ireland Michael Rosen
+	An Introduction to Number Theory.	1971	Kenneth Ireland Harold Stark
+	On the Zeta Function of an Algebraic Variety	1967	Kenneth Ireland

Common Coauthors

Coauthor	Papers Together
Michael Rosen	20
Michael Rosen	13
Michael J. Rosen	3
Donald B. Small	1
Robert D. Small	1
Harold Stark	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1984	Neal Koblitz	2
+	Elliptic Curves	1978	Serge Lang	2
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	2
+	Über zahlentheoretische Methoden Fermats und Eulers, ihre Zusammenhänge und ihre Bedeutung	1960	J. E. Hofmann	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2
+	Elliptic Curves: Diophantine Analysis	1978	Serge Lang	2
+	Elliptic Curves	1987	Dale Husemöller	2
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz	2
+ PDF Chat	Rational Points on Elliptic Curves	2015	Joseph H. Silverman John Tate	1
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich	1
+ PDF Chat	Small class numbers and extreme values of 𝐿-functions of quadratic fields	1977	Duncan A. Buell	1
+	The arithmetic of elliptic curves	1974	John Tate	1
+ PDF Chat	Explicit class field theory for rational function fields	1974	David R. Hayes	1
+	�ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen	1967	Andr� Weil	1
+ PDF Chat	On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3	1985	Joe Buhler Benedict H. Gross Don Zagier	1
+	Units and class groups in cyclotomic function fields	1982	Steven Galovich Michael Rosen	1
+ PDF Chat	Construction of Elliptic Curves with Large Rank	1986	Thomas J. Kretschmer	1
+ PDF Chat	A nonvanishing theorem for derivatives of automorphic 𝐿-functions with applications to elliptic curves	1989	Daniel Bump Solomon Friedberg Jeffrey Hoffstein	1
+ PDF Chat	Gauss’ class number problem for imaginary quadratic fields	1985	Dorian Goldfeld	1
+	Diophantine Equations with Special Reference To Elliptic Curves	1966	J. W. S. Cassels	1
+	On the quadratic reciprocity theorem	1961	Alvin Hausner	1
+	The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer	1976	Dorian Goldfeld	1
+	Mean Values of Derivatives of Modular L-Series	1991	M. Ram Murty V. Kumar Murty	1
+	The Riemann Hypothesis and Hilbert's Tenth Problem.	1966	L. Carlitz S. Chowla	1
+ PDF Chat	Arithmetic on curves	1986	Barry Mazur	1
+ PDF Chat	Hyperbolic and Diophantine analysis	1986	Serge Lang	1
+ PDF Chat	On the imaginary bicyclic biquadratic fields with class-number 2	1977	Duncan A. Buell Hywel C Williams Kenneths. Williams	1
+	An Introduction to the Theory of Numbers.	1961	W. J. LeVeque Ivan Niven Herbert S. Zuckerman	1
+	The arithmetic of function fields 2: The ‘Cyclotomic’ theory	1983	David Goss	1
+	Lower bound for the canonical height on elliptic curves	1981	Joseph H. Silverman	1
+	Ambiguous divisor classes in function fields	1977	Michael Rosen	1
+ PDF Chat	Higher dimensional diophantine problems	1974	Serge Lang	1
+	v-adic zeta functions,L-series and measures for function fields	1979	David Goss	1
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	1
+	Diophantos of Alexandria: A Study in the History of Greek Algebra	1964	Thomas L. Heath	1
+	Diophantine Approximation on Abelian Varieties	1991	Герд Фалтингс	1
+	On a fermat equation arising in the arithmetic theory of function fields	1982	David Goss	1
+	Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication	1987	Karl Rubin	1
+ PDF Chat	Some theorems and conjectures in diophantine equations	1960	Serge Lang	1
+	Mordell's finite basis theorem revisited	1986	J. W. S. Cassels	1
+	The rank of elliptic curves	1977	Armand Brumer Kenneth Kramer	1
+ PDF Chat	On the zeta function for function fields overFp	1983	Paul Thomas	1
+	The proof of the mordell conjecture	1984	Spencer Bloch	1
+	Diophante et Fermat	1966	Isabelle Bach Maková	1
+	Basic algebraic geometry	1976	G.-C Rota	1
+	On Modular Forms With Associated Dirichlet Series	1969	A. P. Ogg	1
+ PDF Chat	L'arithmétique sur les courbes algébriques	1929	André Weil	1
+	Sur un théorème de Mordell	1979	André Weil	1
+	Über ternäre diophantische Gleichungen dritten Grades	1963	Adolf Hurwitz	1
+ PDF Chat	Arithmetic of Complex Manifolds	1989	Wolf-P Barth Herbert Lange	1