On the Waring-Goldbach Problem for tenth powers
Mayank Pandey
TL;DR
This paper improves the upper bound on the Waring-Goldbach problem for tenth powers from 107 to 105 using advanced Weyl sum estimates.
Contribution
It introduces sharper Weyl sum estimates to reduce the bound on the Waring-Goldbach problem for tenth powers.
Findings
Bound on H(10) improved to 105
Enhanced Weyl sum estimates demonstrated
Advancement over previous bounds
Abstract
Using sharper Weyl sum estimates, we show that , improving upon the previous bound of .
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Taxonomy
TopicsAnalytic Number Theory Research · Coding theory and cryptography · Graph theory and applications