WARING'S PROBLEM WITH PIATETSKI‐SHAPIRO NUMBERS

DOI10.1112/S0025579315000340zbMath1346.11054OpenAlexW2282466432MaRDI QIDQ2810739

Yıldırım Akbal, Ahmet M. Güloğlu

Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579315000340

zbMATH Keywords

circle methodWeyl sumsvariant of Waring's problemPiatetski-Shapiro numbers

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55) Special sequences and polynomials (11B83) Weyl sums (11L15)

Related Items

Kloosterman sums with twice-differentiable functions, On Waring-Goldbach problem with Piatetski-Shapiro primes, Friable values of Piatetski-Shapiro sequences, Square-full numbers in Piatetski-Shapiro sequences, Waring–Goldbach Problem with Piatetski-Shapiro Primes

Cites Work

• A new iterative method in Waring's problem
• Vinogradov's mean value theorem via efficient congruencing. II
• On Waring's problem for fourth powers
• The Asymptotic Formula in Waring’s Problem
• Multigrade efficient congruencing and Vinogradov's mean value theorem
• Problème de Waring avec exposants non entiers
• New Estimates for Smooth Weyl Sums