On a problem of additive number theory

G. G. Lorentz

Type: Article

Publication Date: 1954-01-01

Citations: 57

DOI: https://doi.org/10.1090/s0002-9939-1954-0063389-3

Abstract

Let A, B, denote sets of natural numbers. The counting function A(n) of A is the number of elements a CA which satisfy the inequality a (1-e)n/A(n), which holds for all large n.

Locations

Proceedings of the American Mathematical Society - View - PDF

Similar Works

Action	Title	Year	Authors
+	On a Problem of Additive Number Theory	1997	G. G. Lorentz
+ PDF Chat	On a Problem of Additive Number Theory	1954	G. G. Lorentz
+	On A Problem of Additive Number Theory	1997	G. G. Lorentz
+	On a Problem in the Additive Theory of Numbers	1931	C. J. A. Evelyn E. H. Linfoot
+	A Problem in Additive Number Theory	1973	Donald Quiring
+ PDF Chat	On a question of additive number theory	1959	P. Erdős Peter Scherk
+	On a Problem in Additive Number Theory	1948	Richard Bellman Harold N. Shapiro
+	On a problem in additive number theory	1974	Iekata Shiokawa
+	On a problem in additive number theory	1994	Andràs Sárközy Endre Szemerédi
+	On a problem in additive number theory	2011	Yong-Gao Chen Jin-Hui Fang
+	On a Problem in Additive Number Theory (解析的整数論)	1973	Iekata Shiokawa
+	On a Problem in Additive Number Theory (解析的整数論)	1973	宇賢塩川
+	On an inverse problem in additive number theory	2020	Min Tang Hongwei Xu
+	On an inverse problem in additive number theory	2019	J.-H. Fang Zhikai Fang
+	A combinatorial problem in additive number theory	1979	Harold N. Shapiro
+	A Note on an Additive Property of Natural Numbers	1959	J. van Yzeren
+ PDF Chat	A problem in additive number theory	1973	Donald Quiring
+	A problem on the additive theory of number of several variables	1936	Loo-Keng Hua
+ PDF Chat	On an additive arithmetic function	1977	Krishnaswami Alladi P. Erdős
+	On an additive representation function	2003	R. Balasubramanian Gyan Prakash

Works That Cite This (51)

Action	Title	Year	Authors
+	Some Applications of Probability Methods to Number Theory. Successes and Limitations	1990	Péter L. Erdős
+ PDF Chat	Strong measure zero and strongly meager sets	1993	Timothy J. Carlson
+	Gaps and the exponent of convergence of an integer sequence	2012	Georges Grekos Martin Sleziak
+ PDF Chat	Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions	2021	Arindam Biswas Jyoti Prakash Saha
+ PDF Chat	Problems and results on combinatorial number theory III	1977	Paul Erdös
+ PDF Chat	Some Problems and Ideas of Erdős in Analysis and Geometry	2013	R. Daniel Mauldin
+	A covering theorem for quasi-groups	1978	H. L. Abbott A.C Liu
+	Binäres goldbachproblem mit einschränkung an die summanden	1995	Gunter Dufner
+ PDF Chat	Strongly meager and strong measure zero sets	2002	Tomek Bartoszyński Saharon Shelah
+	Some covering and packing results in number theory	1976	Gerald Weinstein

Works Cited by This (0)

Action	Title	Year	Authors