A new form of the circle method, and its application to quadratic forms.

D. R. Heath‐Brown

Type: Article

Publication Date: 1996-12-01

Citations: 177

DOI: https://doi.org/10.1515/crll.1996.481.149

Abstract

Article A new form of the circle method, and its application to quadratic forms. was published on January 1, 1996 in the journal Journal für die reine und angewandte Mathematik (volume 1996, issue 481).

Locations

Oxford University Research Archive (ORA) (University of Oxford) - View - PDF
Journal für die reine und angewandte Mathematik (Crelles Journal) - View

Similar Works

Action	Title	Year	Authors
+	An Algebraic Circle Method	2011	Thibaut Pugin
+	The j-circle method	1966	Albrecht Kuske
+	The Circle Method	2012	M. Ram Murty V. Kumar Murty
+	The Circle Method	2004	Steven J. Miller Ramin Takloo-Bighash
+	Cubic Forms and the Circle Method	2021	T. D. Browning
+	A modification of Cauchy's method for quadratic equations	2007	J.A. Ezquerro M.A. Hernández Natalia Romero
+	On the circle method	1991	Сергей Воронин
+	On the applications of the circle method to function fields, and related topics	2013	Siu-lun Alan Lee
+	A method for determining a quarternary differential quadratic form with prescribed charateristics	1970	P. I. Petrov
+	A Special Circle for Quadratic Equations	1991	Walter Mead Patterson André M. Lubecke
+ PDF Chat	Note on the Representation of a Circle by a Linear Equation	1900	John Griffiths
+	An Introduction to the Circle Method of Hardy, Littlewood, and Ramanujan	2021	Stephen Wainger
+ PDF Chat	The circle method and pairs of quadratic forms	2010	Henryk Iwaniec Ritabrata Munshi
+ PDF Chat	A two-dimensional delta symbol method and its application to pairs of quadratic forms	2024	Junxian Li Simon L. Rydin Myerson Pankaj Vishe
+	A Generalized Product Rule for the Circle	1971	Frank G. Lether
+	A survey of applications of the circle method to rational points	2015	T. D. Browning
+	On a generalization of the circle criterion.	1966	Michael Gruber J.L. Willems
+ PDF Chat	Connexion of Quadratic Forms	1896	Allan Cunningham
+	The Circle Method and Waring’s Problem	1991	Wang Yuan
+ PDF Chat	A generalization of the classical circle problem	2012	Yong-Gao Chen Min Tang

Works That Cite This (175)

Action	Title	Year	Authors
+ PDF Chat	GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS	2024	T. D. Browning Lillian B. Pierce Damaris Schindler
+ PDF Chat	Simultaneous integer values of pairs of quadratic forms	2015	D. R. Heath‐Brown Lillian B. Pierce
+	A shifted convolution sum for \mathrm{GL}(3) × \mathrm{GL}(2)	2018	Ping Xi
+ PDF Chat	Ramanujan graphs and exponential sums over function fields	2020	Naser T. Sardari Masoud Zargar
+	Correlations of Multiplicative Functions with Coefficients of Automorphic<i>L</i>-Functions	2023	Yujiao Jiang Guangshi Lü
+	Counting rational points on biprojective hypersurfaces of bidegree (1,2)	2020	Liqun Hu
+	Counting integer points on quadrics with arithmetic weights	2020	V. Vinay Kumaraswamy
+	Subconvexity in the inhomogeneous cubic Vinogradov system	2022	Trevor D. Wooley
+ PDF Chat	Rational solutions of pairs of diagonal equations, one cubic and one quadratic	2014	Trevor D. Wooley
+	Partial sums of typical multiplicative functions over short moving intervals	2022	Mayank Pandey Victor Y. Wang Max Wenqiang Xu

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	The lattice point problem of many-dimensional hyperboloids I	1963	Bhuvana Srinivasan
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke
+	Fourier coefficients of modular forms of half-integral weight	1987	Henryk Iwaniec
+	Introduction to Quadratic Forms	1973	O. T. O’Meara
+	Bounds for automorphic L-functions. III	2001	William Duke John Friedlander Henryk Iwaniec
+	Integral Quadratic Forms.	1961	Ivan Niven G. L. Watson
+	La conjecture de Weil. I	1974	Pierre Deligne
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown
+	The Hardy-Littlewood Method	1997	R. C. Vaughan
+	Equivalence of Quadratic Forms	1941	Carl Ludwig Siegel