Date | Jun 02, 2022 |
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Speaker | 한지영 |

Dept. | Tata institute of fundamental research |

Room | 선택 |

Time | 14:00-15:00 |

**Zoom ID: 946 805 8300**

Abstract:

A quantitative Khintchine-Groshev theorem is a theorem for obtaining the asymptotic formula for the function counting integer solutions satisfying inequalities provided by the Khintchine-Groshev theorem. Recently, M. Alam, A. Ghosh, and S. Yu found a new proof for the quantitative Khintchine-Groshev theorem, which further includes the cases adding some congruence conditions.

In this talk, I will introduce its generalization to S-arithmetic spaces and explain why we need a new type of an S-arithmetic generalization for this application, instead of a generalization established by D. Kleinbock and G. Tomanov, for instance.

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