Arbitrarily long gaps between the values of positive‐definite cubic and biquadratic diagonal forms

DOI10.1112/jlms.12312zbMath1489.11055arXiv1910.05070OpenAlexW2980276076MaRDI QIDQ5141853

Luca Ghidelli

Publication date: 22 December 2020

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

Full work available at URL: https://arxiv.org/abs/1910.05070

zbMATH Keywords

Waring's problemlocal densitiesHecke \(L\)-functionslarge gapsdiagonal surfaces over finite fields

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Class field theory (11R37) Density theorems (11R45) Density, gaps, topology (11B05) Representation problems (11D85)

Related Items (1)

On gaps between sums of four fourth powers

Cites Work

• Some explicit zero-free regions for Hecke \(L\)-functions
• On the gaps between numbers which are sums of two squares
• Sur le problème de Kummer
• On some topics connected with Waring's problem.
• The Distribution of General Gauss Sums and Similar Arithmetic Functions at Prime Arguments
• Sums of powers: an arithmetic refinement to the probabilistic model of Erdős and Rényi
• On gaps between numbers that are sums of three cubes
• The Farey density of norm subgroups in global fields (I)
• A zero‐free region for the Hecke L ‐functions
• Jacobi Sums as "Grossencharaktere"
• Non-vanishing of \(L\)-functions and applications
• Algorithmic Number Theory
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