






홈 > 학술정보 >학술행사 > 세미나 





한국고등과학원 세미나 



[GSNT] The $p$adic $L$functions for higher weight modular forms in the supersingular case 

Rei Otsuki (Keio University ) 
Let $f(z)= ?sum a_n q^n$ be an eigen cusp form of weight $k ?geq 2$. In the case when $f(z)$ is supersingular at $p$, we have two $p$adic $L$functions attached to $f(z)$, but those are power series with unbounded coefficients. In the case when $a_p = 0, k ?geq 2$, Pollack constructed $p$adic $L$functions with bounded coefficients, and in the case when $k = 2$, Sprung constructed similar $p$adic $L$functions. In this talk, I will talk about generalization of Sprung’s method in the case when $k > 2$ and $p ?geq k1$. 







