On the relations among the class numbers of binary cubic forms

Jin Nakagawa

Type: Article

Publication Date: 1998-09-17

Citations: 35

DOI: https://doi.org/10.1007/s002220050259

View Publication

Locations

Inventiones mathematicae - View

Similar Works

Action	Title	Year	Authors
+	Arithmetic of Binary Cubic Forms	2020	Gennady Yassiyevich
+	On binary cubic forms.	1967	C. Hooley
+	On the Canonical Forms and Automorphs of Ternary Cubic Forms	1908	L. E. Dickson
+	Binary cubic forms and cubic number fields	1997	Karim Belabas Henri Cohen
+	On admissible integers of cubic forms	2019	Simona Diaconu
+ PDF Chat	ASSOCIATED FORMS OF BINARY QUARTICS AND TERNARY CUBICS	2015	Jarod Alper Alexander Isaev N. G. Kruzhilin
+	On the representation of numbers by a binary cubical irreducible form	1970	V. A. Dem’yanenko
+	On the Clifford Algebra of a Binary Cubic Form	1984	Darrell Haile
+	On representation numbers of ternary quadratic forms	2005	Kobi Snitz
+ PDF Chat	On the representation of integers by binary cubic forms of positive discriminant	1984	Jan‐Hendrik Evertse
+	On the representation of integers by binary cubic forms of positive discriminant	1983	Jan‐Hendrik Evertse
+ PDF Chat	On arithmetic invariants of binary cubic and binary trilinear forms	1936	Rufus Oldenburger
+	On the divisor-sum problem for binary cubic forms	1970	George Greaves
+ PDF Chat	On the representation of integers by certain binary cubic and biquadratic forms	1971	W. Ljunggren
+ PDF Chat	On the fractional parts of cubic forms	1978	Robert L. Cook
+	On binary cubic forms: II	2000	C. Hooley
+	The class-number of binary quadratic forms	1934	S. Chowla
+	On a Relation between two Ternary Cubic Forms	2009	Arthur Cayley
+	Determination of the class number of binary quadratic forms	1999	Peter Gustav Lejeune Dirichlet Richard Dedekind
+	Characterization of a Class of Cubic Forms	1962	T. A. Springer

Works That Cite This (33)

Action	Title	Year	Authors
+ PDF Chat	Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms	2009	Yasuo Ohno Takashi Taniguchi Satoshi Wakatsuki
+ PDF Chat	The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders	2016	Manjul Bhargava Ila Varma
+ PDF Chat	Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms II	2014	Yasuo Ohno Takashi Taniguchi
+	Decomposition of gamma matrices of local zeta functions associated with homogeneous cones	2024	Hideto Nakashima
+	Orders in cubic number fields	2016	Günter Lettl Chanwit Prabpayak
+	On a remarkable identity in class numbers of cubic rings	2017	Evan M. O’Dorney
+ PDF Chat	On Dℓ‐extensions of odd prime degree ℓ	2020	Henri Cohen Frank Thorne
+	Orbital exponential sums for prehomogeneous vector spaces	2016	Takashi Taniguchi Frank Thorne
+	On the zeta function associated with module classes of a number field	2011	Xia Gao
+	Dirichlet series associated to cubic fields with given quadratic resolvent	2014	Henri Cohen Frank Thorne

Works Cited by This (9)

Action	Title	Year	Authors
+ PDF Chat	Generalization of a theorem of Siegel	1991	Jonathan W. Sands
+	The Theory of Irrationalities of the Third Degree	2009	B. Delone D. K. Faddeev
+ PDF Chat	Untersuchungen über die cubischen Formen mit zwei Variabeln.	1844	Gotth. Eisenstein
+ PDF Chat	On Dirichlet series whose coefficients are class numbers of integral binary cubic forms	1972	Takuro Shintani
+ PDF Chat	Théoremes sur les formes cubiques et solution d'une équation du quatrième degré à quatre indéterminées.	1844	G. Eisenstein
+	On the Class-Number of Binary Cubic Forms (II)	1951	H. Davenport
+	A conjecture on coincidence among the zeta functions associated with the space of binary cubic forms	1997	Yasuo Ohno
+	On the density of discriminants of cubic fields. II	1971	H. Davenport H. Heilbronn
+	On Zeta Functions Associated with Prehomogeneous Vector Spaces	1974	Mikio Sato Takuro Shintani