Diophantine approximation by cubes of primes and an almost prime

DOI10.1216/rmjm/1021477255zbMath0973.11070OpenAlexW2075047776MaRDI QIDQ5928720

Angel V. Kumchev

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-3/CONT30-3/CONT30-3.html

zbMATH Keywords

primesalmost primescubesDiophantine inequalities

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Diophantine inequalities (11D75) Diophantine inequalities (11J25)

Cites Work

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• The Pjateckii-Sapiro prime number theorem
• On the fractional parts of {x/n} and related sequences. II, III
• Note on the sum of cubes of primes and an almost prime
• Topics in multiplicative number theory
• The solubility of certain Diophantine inequalities
• Diophantine Approximation by Prime Numbers
• On a diophantine inequality involving prime numbers
• Diophantine Approximation by Prime Numbers, III
• A weighted sieve of Brun's type
• Diophantine Approximation by Prime Numbers, II
• Diophantine Approximation with a Prime and an Almost-Prime
• A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes
• Sums of Three Cubes
• Über die Lösbarkeit gewisser Ungleichungen durch Primzahlen.
• On Waring's Problem for Cubes

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