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What is An Improvement On Gauss about?
This paper presents an improvement on Gauss’s Circle Problem and Dirichlet’s Divisor Problem using the Bombieri-Iwaniec method, resulting in a new estimate for the first spacing problem. The authors derive upper bounds for both problems, with a focus on achieving a smaller exponent θ, specifically θ* = 0.314483. The work builds on previous results and introduces new techniques, including decoupling theory and rational approximations, to enhance the understanding of these longstanding mathematical challenges
- Author
- 杨凯龙
- Language
- EN