back to table · edit · history · where entries came from · files
Title: Special values of the $L$-functions of level one cusp forms-Definition: Let $f_{k,i}(q)=\sum_{n\geq1}a_nq^n$ be the $i$th normalised Hecke eigenform- in $S_k(\mathrm{SL}_2(\mathbb{Z}))$ CITE{WikiCusp}, after ordering the real embeddings- by increasing $T_2$-eigenvalue $a_2$. This table gives the value at the critical- integer $s$, with $1\leq s\leq k-1$, of the analytic continuation of $L(f_{k,i},s)$- CITE{WikiL}; for $\operatorname{Re}s>(k+1)/2$ this $L$-function is $\sum_{n\geq1}a_nn^{-s}$.+Definition: For $f_{k,i}(q)=\sum_{n\geq1}a_nq^n$, the $i$th normalised Hecke eigenform+ in $S_k(\mathrm{SL}_2(\mathbb{Z}))$ CITE{WikiCusp} ordered by increasing embedded+ $a_2$, this table gives the analytically continued values $L(f_{k,i},s)$ CITE{WikiL}+ at the critical integers $1\leq s\leq k-1$. Parameters: k:
Sign in to restore an earlier version.