Effective Vinogradov's mean value theorem via efficient boxing

DOI10.1016/j.jnt.2019.04.010zbMath1459.11201arXiv1603.02536OpenAlexW2293842700WikidataQ127854968 ScholiaQ127854968MaRDI QIDQ2315991

Raphael S. Steiner

Publication date: 26 July 2019

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

Full work available at URL: https://arxiv.org/abs/1603.02536

zbMATH Keywords

exponential sumsHardy-Littlewood methodeffective Vinogradov's mean value theorem

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Weyl sums (11L15)

Related Items (3)

Explicit bounds for the Riemann zeta function and a new zero-free region ⋮ Squarefree Integers in Arithmetic Progressions to Smooth Moduli ⋮ On digits of Mersenne numbers

Cites Work

• Vinogradov's mean value theorem via efficient congruencing
• Logarithmic convexity and inequalities for the gamma function
• Trigonometric sums in number theory and analysis. Transl. from the Russian
• On the distribution of roots of Riemann zeta and allied functions. I
• APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM
• On Vinogradov's mean value theorem
• VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION
• Burgess bounds for short mixed character sums
• Nested efficient congruencing and relatives of Vinogradov's mean value theorem
• AN IMPROVEMENT OF VINOGRADOV'S MEAN-VALUE THEOREM AND SEVERAL APPLICATIONS
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