On the product of three homogeneous linear forms and indefinite ternary quadratic forms

J. W. S. Cassels, H. P. F. Swinnerton-Dyer

Type: Article

Publication Date: 1955-06-23

Citations: 134

DOI: https://doi.org/10.1098/rsta.1955.0010

View Publication

Locations

Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences - View

Similar Works

Action	Title	Year	Authors
+	The inhomogeneous minimum of binary quadratic, ternary cubic and quaternary quartic forms	1952	J. W. S. Cassels
+	On the Minimum of a Ternary Cubic Form	1986	Werner Georg Nowak
+	Ternary quadratic forms	1998	Nigel P. Smart
+	Ternary quadratic forms	1950	Burton Jones
+	On minima of rational indefinite quadratic forms	1985	L. Ya. Vulakh
+	A Proof of a Theorem of Meyer on Indefinite Ternary Quadratic Forms	1955	Burton W. Jones Donald Marsh
+ PDF Chat	Non-homogeneous ternary quadratic forms	1948	H. Davenport
+	AN INEQUALITY FOR INDEFINITE TERNARY QUADRATIC FORMS OF TYPE (2, 1)	2015	MADHU RAKA R. J. HANS-GILL
+	Ternary Quadratic Forms and Norms	2020	Olga Taussky
+	An isolation theorem for the arithmetic minimum of the product of linear forms with complex coefficients	1988	U. A. Akramov
+	Ternary trilinear forms in the field of complex numbers	1938	Robert Thrall Josephine H. Chanler
+ PDF Chat	Regular positive ternary quadratic forms	2011	Byeong-Kweon Oh
+	Inequalities of inert primes and regular ternary $ m $-gonal forms	2019	Zilong He Ben Kane
+	Explicit solutions to the Oppenheim conjecture for indefinite ternary diagonal forms	2021	Youssef Lazar
+	On ternary quadratic forms over the rational numbers	2021	Amir Homayoun Jafari‬ Farhood Rostamkhani
+ PDF Chat	On ternary quadratic forms over the rational numbers	2022	Amir Jafari Farhood Rostamkhani
+	Review of Ternary Quadratic Forms and Norms	1984	Kwangil Koh
+	The inhomogeneous minimum of binary quadratic, ternary cubic and quaternary quartic forms	1952	J. W. S. Cassels
+	On Indefinite Ternary Quadratic Forms	1949	H. Davenport
+	On Indefinite Ternary Quadratic Forms	1952	Edwin Barnes

Works That Cite This (121)

Action	Title	Year	Authors
+ PDF Chat	Perfectly ordered quasicrystals and the Littlewood conjecture	2016	Alan Haynes Henna Koivusalo James Walton
+ PDF Chat	Диофантовы экспоненты решеток	2016	Oleg N. German
+ PDF Chat	On a mixed Littlewood conjecture in Diophantine approximation	2007	Yann Bugeaud Michael Drmota Bernard de Mathan
+	Convergence to the Mahler measure and the distribution of periodic points for algebraic Noetherian $\mathbb{Z}^d$-actions	2016	Vesselin Dimitrov
+ PDF Chat	Asymmetric minima of indefinite ternary quadratic forms	1967	R. T. Worley
+ PDF Chat	Effective estimates on indefinite ternary forms	2014	Elon Lindenstrauss G. A. Margulis
+	Rigidity of multiparameter actions	2004	Elon Lindenstrauss
+ PDF Chat	On a conjecture of Littlewood in Diophantine approximations	1985	S. Krass
+	Isolation theorem for forms corresponding to purely real algebraic fields	1992	U. A. Akramov
+ PDF Chat	Новый прогресс в теории однородных потоков	1997	A. N. Starkov A. N. Starkov

Works Cited by This (7)

Action	Title	Year	Authors
+	Die Arithmetik der Quadratischen Formen	1925	Paul Bachmann
+	On lattice points in <i>n</i> -dimensional star bodies I. Existence theorems	1946	Kurt Mahler L. J. Mordell
+	One-Side Inequalities for Quadratic Forms	1953	A. Oppenheim
+	A Note on the Geometry of Numbers	1949	H. Davenport C. A. Rogers
+	On the Product of Three Homogeneous Linear Forms. IV	1943	H. Davenport
+	One-Sided Inequalities for Quadratic Forms	1953	A. Oppenheim
+ PDF Chat	Transfer principle for linear inequalities	1939	Kurt Mahler