We establish an improvement for both Gauss circle problem and Dirichlet
divisor problem, combining a new estimate of the first spacing problem and
Huxley's results on the second spacing problem

Li, Xiaochun

Yang, Xuerui

English

arXiv

Using Bombieri-Iwaniec method, we establish an improvement on both Gauss's
Circle Problem and Dirichlet's Divisor Problem. More precisely, we derive a new
estimate for the first spacing problem and combine it with Huxley's results on
the second spacing problem

Improvement on Gauss circle Problem and Dirichlet divisor Problem

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