F. Thaine

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	On the Construction of Families of Cyclic Polynomials Whose Roots Are Units	2008	F. Thaine
+	Finding Families of Units of Cyclic Fields (代数的整数論とその周辺研究集会報告集)	2005	F. Thaine
+	FINDING FAMILIES OF UNITS OF CYCLIC FIELDS (Algebraic number theory and related topics)	2005	F. Thaine
+	Cyclic polynomials and the multiplication matrices of their roots	2003	F. Thaine
+ PDF Chat	On Gaussian periods that are rational intgers	2002	F. Thaine
+	Jacobi sums and new families of irreducible polynomials of Gaussian periods	2001	F. Thaine
+ PDF Chat	On the coefficients of Jacobi sums in prime cyclotomic fields	1999	F. Thaine
+ PDF Chat	Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers	1999	F. Thaine
+ PDF Chat	Properties that characterize Gaussian periods and cyclotomic numbers	1996	F. Thaine
+ PDF Chat	On the $p$-part of the ideal class group of $\bold Q(\zeta_p+\zeta_p^{-1})$ and Vandiver's conjecture.	1995	F. Thaine
+	On the relation between units and Jacobi sums in prime cyclotomic fields	1991	F. Thaine
+	On the orders of ideal classes in prime cyclotomic fields	1990	F. Thaine
+	On Fermat's last theorem and the arithmetic of Z[ζp + ζp−1]	1988	F. Thaine
+	On the Ideal Class Groups of Real Abelian Number Fields	1988	F. Thaine
+	On the first case of Fermat's last theorem	1985	F. Thaine
+	Polynomials generalizing binomial coefficients and their application to the study of Fermat's last theorem	1982	F. Thaine

Common Coauthors

Coauthor	Papers Together

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Cyclotomy, Higher Congruences, and Waring's Problem	1935	L. E. Dickson	7
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	7
+	Cyclotomy, Higher Congruences, and Waring's Problem II	1935	L. E. Dickson	6
+ PDF Chat	Properties that characterize Gaussian periods and cyclotomic numbers	1996	F. Thaine	5
+	Cyclotomic Fields I and II	1990	Serge Lang	5
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen	4
+ PDF Chat	Quintic polynomials and real cyclotomic fields with large class numbers	1988	René Schoof Lawrence C. Washington	4
+ PDF Chat	Connection between Gaussian periods and cyclic units	1988	Emma Lehmer	4
+ PDF Chat	Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers	1999	F. Thaine	3
+ PDF Chat	On the coefficients of Jacobi sums in prime cyclotomic fields	1999	F. Thaine	3
+	An Introduction to the Theory of Numbers.	1961	W. J. LeVeque Ivan Niven Herbert S. Zuckerman	3
+	INTRODUCTION TO CYCLOTOMIC FIELDS(Graduate Texts in Mathematics, 83)	1983	M. J. Taylor	3
+	L'équation indéterminée xl + yl + zl = 0 et le critérium de Kummer.	1905	M. Mirimanoff	3
+	Fermat's Last Theorem: Its History and the Nature of the Known Results Concerning it	1946	H. S. Vandiver	2
+ PDF Chat	On the $p$-part of the ideal class group of $\bold Q(\zeta_p+\zeta_p^{-1})$ and Vandiver's conjecture.	1995	F. Thaine	2
+	Jacobi sums and new families of irreducible polynomials of Gaussian periods	2001	F. Thaine	2
+	Topics in Analytic Number Theory	1973	Hans Rademacher	2
+	On the Ideal Class Groups of Real Abelian Number Fields	1988	F. Thaine	2
+	Fermat's Last Theorem: Its History and the Nature of the Known Results Concerning It	1946	H. S. Vandiver	2
+	Gauss and Jacobi sums	1998	Bruce C. Berndt Kenneth S. Williams Ronald J. Evans	2
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	2
+	Polynomials generalizing binomial coefficients and their application to the study of Fermat's last theorem	1982	F. Thaine	2
+	The quintic character of 2 and 3	1951	Emma Lehmer	2
+	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.	2
+	L'équation indéterminée x1 + y1 + z1 = 0 et le critérium de Kummer.	1905	M. Mirimanoff	2
+ PDF Chat	Connection Between Gaussian Periods and Cyclic Units	1988	Emma Lehmer	2
+	On the relation between units and Jacobi sums in prime cyclotomic fields	1991	F. Thaine	2
+ PDF Chat	On the Binomial Equation <i>x</i> <sup> <i>p</i> </sup> −1=0: Quinquisection	1886	H. W. Lloyd Tanner	2
+	Fermat's Last Theorem. A Genetic Introduction to Algebraic Number Theory.	1978	Lawrence C. Washington Harold M. Edwards	2
+ PDF Chat	Period polynomials and Gauss sums for finite fields	1981	Gerald Myerson	1
+	Handbook of Mathematical Functions	1972	Milton Abramowitz I. A. Stegun	1
+	AN ALGEBRAIC PROPERTY OF LAPLACE'S DIFFERENTIAL EQUATION	1939	Olga Taussky	1
+	Galois properties of torsion points on abelian varieties	1980	Nicholas M. Katz	1
+	On the first case of Fermat's last theorem	1985	F. Thaine	1
+	Global units and ideal class groups	1987	Karl Rubin	1
+	Cyclic polynomials and the multiplication matrices of their roots	2003	F. Thaine	1
+ PDF Chat	Fermat’s Last Theorem	1995	Henri Darmon Fred Diamond Richard Taylor	1
+ PDF Chat	Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations	2005	Kenji Hashimoto Akinari Hoshi	1
+ PDF Chat	On Gaussian periods that are rational intgers	2002	F. Thaine	1
+	Extension of the criteria of Wieferich and Mirimanoff in connection with Fermat's last theorem.	1914	H. S. Vandiver Ernst Hellinger Otto Toeplitz	1
+	Class Field Theory	1990	Emil Artin John Tate	1
+ PDF Chat	Arithmetic on curves	1986	Barry Mazur	1
+ PDF Chat	A note on Jacobi sums	1993	Masanari Kida Takashi Ono	1
+	Sur le dernier théorème de Fermat.	1911	D. Mirimanoff	1
+	Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper	1965	Helmut Hasse	1
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	1
+	Sur le dernier théorème de Fermat.	1911	D. Mirimanoff	1
+	Rings With Minimal Condition for Left Ideals	1939	Charles Hopkins	1
+	<i>Generalized Hypergeometric Functions</i>	1967	L. J. Slater Werner C. Rheinboldt	1
+	Generalized Hypergeometric Functions	1966	Y. L. L. L. J. Slater	1