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Online Report of Mysterious π Series

作者:   时间:2022-06-12   点击数:

Lecturer:Sun Zhiwei

Abstract:

The series related to π is closely related to p-adic congruence, elliptic integral and q-series, hypergeometric series, modular form, etc. The series are colorful, mysterious and fascinating, so they have attracted widespread attention from mathematicians. The online series of reports includingMysterious π Seriescomprehensively describes the reporter's understanding of π-series for more than ten years, and reveals how he found many new π - series based on his new ideas. This report discloses the context of many findings and guides young teachers or graduate students to understand π-series and related mathematics.

Session I: classic Ramanujan 1/π series and congruence inversion technique

The report in this session first introduces the classical Ramanujan 1/ π series and the corresponding p-adic congruence, and expounds the first generation of philosophy on 1/ π series formed by the reporter. Then it reveals how the reporter transformed the divergent Ramanujan series into convergent π series through the congruence reversal technique.

Introduction to the Lecturer:

Zhiwei Sun, Nanjing University

Invited by:

Zhao Lilu, Professor at School of Mathematics

Time:

15:00-16:30, June 15 (Wednesday)

Venue:

Tencent Meeting

Sponsored by: School of Mathematics, Shandong University

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