Large Sieve Inequality with Quadratic Amplitudes

Liangyi Zhao

Type: Article

Publication Date: 2006-10-17

Citations: 3

DOI: https://doi.org/10.1007/s00605-006-0408-6

Abstract

In this paper, we develop a large sieve type inequality with quadratic amplitude. We use the double large sieve to establish non-trivial bounds.

Locations

Monatshefte für Mathematik - View
DR-NTU (Nanyang Technological University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Large Sieve Inequalities with Quadratic Amplitudes	2005	Liangyi Zhao
+	The Large Sieve Inequality for Quadratic Polynomial Amplitudes	2007	Gyan Prakash D. S. Ramana
+	The Large Sieve Inequality for Integer Polynomial Amplitudes	2007	Gyan Prakash D. S. Ramana
+	The large sieve inequality for integer polynomial amplitudes	2008	Gyan Prakash D. S. Ramana
+ PDF Chat	The large sieve with quadratic amplitude	2006	Stephan Baier
+	The large sieve inequality	2009	Olivier Ramaré
+	A Note on the Large Sieve Inequality of Many Variables	1987	Akiko Yagi
+	An Improvement of a Large Sieve Inequality in High Dimensions	2005	Liangyi Zhao
+	An inequality related to the large sieve	1976	Douglas Hensley
+ PDF Chat	An Improvement of a Large Sieve Inequality in High Dimensions	2005	Liangyi Zhao
+ PDF Chat	Large sieve inequality with characters to square moduli	2004	Liangyi Zhao
+	On the large sieve with square moduli	2005	Stephan Baier
+	Large Sieve Inequalities for Characters to Square Moduli	2005	Liangyi Zhao
+	The principle of the large sieve	2008	Emmanuel Kowalski
+	A large sieve inequality for quartic characters	2011	Peng Gao Liangyi Zhao
+ PDF Chat	A lower estimate for exponential sums	1974	Carlos A. Berenstein M. A. Dostál
+	A quadratic large sieve inequality over number fields	2011	Leo Goldmakher Benoît Louvel
+	A quadratic large sieve inequality over number fields	2011	Leo Goldmakher Benoît Louvel
+	The Large Sieve with Power Moduli in Imaginary Quadratic Number Fields	2021	Peng Gao Liangyi Zhao
+	On the spectral large sieve inequality for symmetric-squares	2022	Matthew P. Young

Works That Cite This (3)

Action	Title	Year	Authors
+	A chromatic version of Lagrange’s four squares theorem	2014	P. Akhilesh D. S. Ramana
+	The large sieve inequality for integer polynomial amplitudes	2008	Gyan Prakash D. S. Ramana
+	The Large Sieve Inequality for Integer Polynomial Amplitudes	2007	Gyan Prakash D. S. Ramana

Works Cited by This (16)

Action	Title	Year	Authors
+	Multiplicative Number Theory	1980	H. Davenport
+	Area, Lattice Points, and Exponential Sums	1996	M. N. Huxley
+	Large sieve inequalities for special characters to prime square moduli	2004	Liangyi Zhao
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery
+	Le grand crible dans la théorie analytique des nombres	1974	Enrico Bombieri
+ PDF Chat	The analytic principle of the large sieve	1978	Hugh L. Montgomery
+ PDF Chat	The large sieve	1973	Hugh L. Montgomery R. C. Vaughan
+ PDF Chat	The large sieve with quadratic amplitude	2006	Stephan Baier
+	The large sieve	1967	P. X. Gallagher
+	On the large sieve	1965	Enrico Bombieri