The number of powers of 2 in a representation of large even integers II

Jianya Liu, Mingchit Liu, Tianze Wang

Type: Article

Publication Date: 1998-12-01

Citations: 39

DOI: https://doi.org/10.1007/bf02882266

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Locations

Science in China Series A Mathematics - View

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Works That Cite This (39)

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+	A note on Romanov's constant	2006	J. Pintz
+ PDF Chat	On Linnik’s approximation to Goldbach’s problem. II	2020	J. Pintz Imre Z. Ruzsa
+	On unequal powers of primes and powers of 2	2019	Xiaodong Lü
+ PDF Chat	On the sum of two primes and <i>k</i> powers of two	2007	Alessandro Languasco J. Pintz Alessandro Zaccagnini
+	Representation of Even Integers as Sums of Squares of Primes and Powers of 2	2000	Jianya Liu Ming-Chit Liu
+	Two results on powers of 2 in Waring–Goldbach problem	2011	Zhixin Liu Guangshi Lü
+	Extremal values for the sum <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mo>∑</mml:mo></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>τ</mml:mi></mml:mrow></mml:msubsup><mml:mi>e</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>a</mml:mi><mml:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">/</…	2012	Jerzy Kaczorowski Giuseppe Molteni
+	The exceptional set of Goldbach numbers	1999	Hong Guang Li Hong Guang Li
+	On integers of the forms <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>k</mml:mi><mml:mo>±</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>k</mml:mi><mml:msup><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:msup><mml:mo>±</mml:mo><mml:mn>1</mml:mn></mml:math>	2006	Yong-Gao Chen
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Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld
+	Multiplicative Number Theory	1980	H. Davenport
+ PDF Chat	On the exceptional set in Goldbach's problem	1992	Hiroshi Mikawa
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery
+	Some Problems of “Partitio Numerorum”(V): A Further Contribution to the Study of Goldbach's Problem	1924	G. H. Hardy J. E. Littlewood
+	Primes and powers of 2	1975	P. X. Gallagher
+	�ber einige S�tze der additiven Zahlentheorie	1934	N. P. Romanoff
+	HYBRID BOUNDS FOR DIRICHLET L-FUNCTIONS II	1980	D. R. Heath‐Brown
+	ON THE GOLDBACH'S PROBLEM AND THE SIEVE METHODS	1978	Chen Jing-Run
+	Explicit zero-free regions for Dirichlet L-functions	1984	Kevin S. McCurley