Math Colloquia

268

Date | Jun 20, 2022 |
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Speaker | 김준일 |

Dept. | 연세대학교 |

Room | 27-325 |

Time | 16:00-18:00 |

We discuss the necessary and sufficient condition for the boundedness of the

two-parameter exponential sum of $e^{2\pi i P(t_1,t_2)}{t_1t_2}$. By the application of the corresponding discrete strong maximal average, we obtain the ergodic theorems regarding the rectangles whose side lengths have an arbitrary ratio. For the audience, I will illustrate the core idea of the circle method developed until now, as well as some history of the related problems. This is joint work with Hoyoung Song.

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