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摘要
Krishnapur et al. [15] studied the length of the fluctuations of nodal lengths of random Laplace eigenfunctions on the standard 2-torus. A key step in the paper is a nontrivial bound for the sixth-order correlation of the integer solutions of the equationm= x(2) + y(2). This is a problem about a certain diophantine equation, studied here in depth using a variety of methods.
- 出版日期2015
