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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Wei Zhang, MIT

Inviter:  
Title:
Superpositivity of L-functions and "completion of square"
Time & Venue:
2018.1.12 10:30-11:30 Lecture Hall of Siyuan Building
Abstract:
We explain how Riemann hypothesis and its generalization imply the positivity of the special values of all derivatives of normalized L-functions. This rises a question: can one interpret these positive values as squares? We present some examples of such interpretations, in the joint work with Xinyi Yuan and Shouwu Zhang over number fields on Gross-Zagier formula, and with Zhiwei Yun over function fields on Higher Gross-Zagier formula respectively.
 

 

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