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

Source abstract

Based on the divisibility in the functional equations of the completed L-functions expressed as Hadamard products with consideration of zero multiplicity and pairing the conjugate zeros, 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 under a unified framework.