On the average number of representationsof an integer as a sum of like prime powers

DOI10.1090/proc/14827zbMath1464.11102arXiv1805.09008OpenAlexW3098902506WikidataQ127297525 ScholiaQ127297525MaRDI QIDQ5218196

Alessandro Gambini, Alessandro Zaccagnini, Marco Cantarini

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09008

zbMATH Keywords

identitiesvariant of Waring problemsums of \(k+1\) \(k\)-th powers

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55)

Related Items (4)

A Cesàro average for an additive problem with an arbitrary number of prime powers and squares ⋮ SHORT INTERVALS ASYMPTOTIC FORMULAE FOR BINARY PROBLEMS WITH PRIME POWERS, II ⋮ A note on an average additive problem with prime numbers ⋮ On an average ternary problem with prime powers

Cites Work

• Short intervals asymptotic formulae for binary problems with primes and powers. II: Density 1
• Sum of one prime and two squares of primes in short intervals
• A Diophantine approximation problem with two primes and one \(k\)-th power of a prime
• Sums of four prime cubes in short intervals
• Three-dimensional exponential sums with monomials
• On a diophantine inequality involving prime numbers
• A Diophantine problem with prime variables

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