A Unified Proof of the Extended, Generalized, and Grand Riemann Hypothesis

Source abstract

The Extended Riemann Hypothesis (for Dedekind zeta function), the Generalized Riemann Hypothesis (for Dirichlet $L$-function), and the Grand Riemann Hypothesis (for modular form $L$-function, automorphic $L$-function, and etc.) are proved within a unified framework based on the divisibility in the symmetrical functional equations of the completed $L$-functions represented as Hadamard products.