Integral points on quadrics in three variables whose coordinates have few prime factors

Jianya Liu, Peter Sarnak

Type: Article

Publication Date: 2010-09-01

Citations: 32

DOI: https://doi.org/10.1007/s11856-010-0069-y

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Locations

Israel Journal of Mathematics - View
Israel Journal of Mathematics - View
Israel Journal of Mathematics - View

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Works That Cite This (32)

Action	Title	Year	Authors
+	On forms in prime variables	2021	Jianya Liu Lilu Zhao
+	Matrix coefficients, Counting and Primes for orbits of geometrically finite groups	2012	Amir Mohammadi Hee Oh
+	Zeroes of polynomials in many variables with prime inputs	2015	Stanley Yao Xiao Shuntaro Yamagishi
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+	Primes and almost primes on orbits of group actions	2024	Jianya Liu Zhao Wenjia
+ PDF Chat	Diophantine equations in the primes	2014	Brian Cook Ákos Magyar
+ PDF	On the saturation number for singular cubic surfaces	2023	Yuchao Wang Weili Yao
+ PDF Chat	On the saturation number for cubic surfaces	2015	Yuchao Wang
+ PDF	PRIME SOLUTIONS TO POLYNOMIAL EQUATIONS IN MANY VARIABLES AND DIFFERING DEGREES	2018	Shuntaro Yamagishi
+	Almost prime Pythagorean triples in thin orbits	2010	Alex Kontorovich Hee Oh

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+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim
+	Introduction to number theory	2009	Luo Hua
+	Rational Quadratic Forms	1982	J. W. S. Cassels
+ PDF	Lagrange's Four Squares Theorem with almost prime variables.	1994	Jörg Brüdern Étienne Fouvry
+	On the spectral gap for infinite index “congruence” subgroups of SL2(Z)	2002	Alex Gamburd
+	On Representations of Integers by Indefinite Ternary Quadratic Forms	2001	Mikhail Borovoi
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke
+ PDF	Prime and almost prime integral points on principal homogeneous spaces	2010	Amos Nevo Peter Sarnak
+	Fourier coefficients of modular forms of half-integral weight	1987	Henryk Iwaniec
+ PDF	Density of integer points on affine homogeneous varieties	1993	William Duke Zeév Rudnick Peter Sarnak