Effective Vinogradov's mean value theorem via efficient boxing

Abstract

We combine Wooley's efficient congruencing method with earlier work of Vinogradov and Hua to get effective bounds on Vinogradov's mean value theorem.

39 pages, updated version

References in corpus (4)

• Nested efficient congruencing and relatives of Vinogradov's mean value theorem
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• Burgess bounds for short mixed character sums
• Some mixed character sums

Cited by in corpus (3)

• Nested efficient congruencing and relatives of Vinogradov's mean value theorem
• Squarefree Integers in Arithmetic Progressions to Smooth Moduli
• On digits of Mersenne numbers