Representations of large integers as the sum of fractional powers of primes and squares

DOI10.1142/S1793042122501196zbMath1506.11107OpenAlexW4280581588WikidataQ114071778 ScholiaQ114071778MaRDI QIDQ5096646

Alex Bongiovanni

Publication date: 18 August 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042122501196

zbMATH Keywords

exponential sumsfractional powersPiatetski-Shapiro sequencesadditive representationsconjecture H

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Trigonometric and exponential sums (general theory) (11L03) Representation problems (11D85)

Cites Work

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• Exceptional set of a representation with fractional powers
• Upper bounds on the solutions to \(n=p+m^2\)
• On some problems of the additive theory of numbers
• A ternary Diophantine inequality over primes

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