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The formal degree conjecture and the root number conjecture are verified withrespect to supercuspidal representations of $Sp_{2n}(F)$ and $L$-parametersassociated with tamely ramified extension $K/F$ of degree $2n$. Thesupercuspidal representation is constructed as a compact induction from anirreducible unitary representation of the hyper special compact group$Sp_{2n}(O_F)$, which is explicitly constructed, based upon the general theorydeveloped by the author, by $K$ and certain character $\theta$ of themultiplicative group $K^{\times}$. $L$-parameter is constructed by the data$\{K,\theta\}$ by means of the local Langlands correspondence of tori andLanglands-Schelstad procedure.

On certain supercuspidal representations of symplectic groups associated  with tamely ramified extensions : the formal degree conjecture and the root  number conjecture