Superpositivity of L-functions and "completion of square"
Speaker: Wei Zhang, MIT;
Time: 2018.01.12 10:30-11:30;
Place: Lecture Hall of Siyuan Building
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.