On the Waring-Goldbach problem for seventh and higher powers
Abstract
We apply recent progress on Vinogradov's mean value theorem to improve bounds for the function H(k) in the Waring-Goldbach problem. We obtain new results for all exponents k 7, and in particular establish that for large k one has \[H(k) (4k-2) k-(2 2-1)k-3.\]
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.