L_b-ideals at irregular CM points of weight 1

Tarakaram Gollamudi
Let $f$ be a cuspidal $CM$ modular form of weight $1$ and level $N$ which is irregular at $p$.The primary goal of this thesis is to investigate the behavior $L_b-$ideal at $f$ without knowing the modules of overconvergent modular symbols $M^+$ and $M^-$. These modules are $T-$modules which are free of finite rank $n$ over $R$. We present a full classification such modules for $n=2$ and $3$ and partial classification for $n=4$. We also establish...
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