ABSTRACT
In this chapter, we present an example of algebraic elucidation of analyticexpressionsby the finite form of the Dirichlet class number formula. It was shown by [Hashimoto et al. (2008)] that the finite formfor the Dirichlet L-function value L(1,χ), χ ≠ χ 0 is equivalent to Gauss' first formula for the Euler digamma function. We shall generalize this to the case of Discrete Fourier Transform and reveal the underlying algebraic structure.
