Title: On certain special values of $L$-functions associated to elliptic curves and real quadratic fields

报告人: 莫仲鹏  教授  (苏州大学)

时间: 2021年 9月16日 19:00 -20:00  

腾讯会议: 859 2589 4852

Abstract: We study a class of normalized special values of $L$-functions associated to elliptic curves (defined over $\mathbf{Q}$) and real quadratic fields. Under certain hypotheses, we are able to show that these are squares of rational numbers. This result is used to improve upon a theorem of Bertolini-Darmon about a $p$-adic Gross-Zagier type formula.