The Number of Representations of an Integer as the Sum of a Prime and a k-Free Integer
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Publication:5789232
DOI10.2307/2305811zbMath0033.16203OpenAlexW4236684319MaRDI QIDQ5789232
Publication date: 1949
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2305811
Related Items (24)
ON SHIFTED PRIMES AND BALANCED PRIMES ⋮ Zur Darstellung einer Zahl als Summe einer \(k\)-ten Potenz einer potenzfreien Zahl und einer \(g\)-ten potenzfreien Zahl ⋮ Sulle rappresentazione degli interi come somme di una potenza e di un numero libero da potenze ⋮ On the sum of a prime and a square-free number ⋮ k-Free numbers and integer parts of αp ⋮ Einige Ergebnisse mit \(k\)-freien Zahlen ⋮ Additive representations of natural numbers ⋮ Square-free values of the Carmichael function. ⋮ A note on Galois groups and local degrees ⋮ Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer ⋮ Counting multiplicative groups with prescribed subgroups ⋮ Values of the Euler function free of \(k\)th powers ⋮ Carmichael numbers in number rings ⋮ FLAT PRIMES AND THIN PRIMES ⋮ On an elementary density problem for polynomials over finite fields ⋮ Arithmetic Progressions, Prime Numbers, and Squarefree Integers ⋮ On products of primes and square-free integers in arithmetic progressions ⋮ A short note on some arithmetical properties of the integer part of alpha p ⋮ On the density of irreducible polynomials which generate \(k\)-free polynomials over function fields ⋮ Power-free values of strongly \(q\)-additive functions ⋮ Applications of Bombieri–Vinogradov type theorems to power-free integers ⋮ Leon Mirsky (1918--1983) ⋮ Analogues of Artin’s conjecture ⋮ Variations on a theme of Mirsky
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