A survey on additive and multiplicative decompositions of sumsets and of shifted sets

Christian Elsholtz

Type: Book-Chapter

Publication Date: 2009-01-01

Citations: 2

DOI: https://doi.org/10.1007/978-3-7643-8962-8_16

Abstract

Let A and B denote sets of integers and let A + B = { a + b : a ∈ A, b ∈ B } be the sumset and AB = | ab : a ∈ A, b ∈ B the product set.

Locations

CiteSeer X (The Pennsylvania State University) - View - PDF
Birkhäuser Basel eBooks - View

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Works Cited by This (39)

Action	Title	Year	Authors
+	Multiplicative Number Theory	1980	H. Davenport
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum
+	The New Book of Prime Number Records	1996	Paulo Ribenboim
+	None	2002	Katalin Gyarmati
+	Addition Theorems: The Addition Theorems of Group Theory and Number Theory	1976	Henry B. Mann
+	Some diophantine equations with many solutions	1988	P. Erdős C. L. Steward R. Tijdeman
+	Ein metrischer Satz über Mengen ganzer Zahlen	1953	Eduard Wirsing
+ PDF Chat	On divisors of sums of integers. III	1988	Carl Pomerance Andràs Sárközy C. L. Stewart
+	A remark on Hofmann and Wolke's additive decompositions of the set of primes	2001	Christian Elsholtz