Whereby all infinitely-many prime numbers are classified as [well-defined] Incompletely Predictable entities, so must all infinitely-many nontrivial zeros be classified as such. We outline the interesting observations and conjectures about distribution of nontrivial zeros in L-functions; and [optional] use of Sign normalization when computing Hardy Z-function, including its relationship to the Analytic rank and Symmetry type of L-functions. When Sign normalization is applied to L-functions, we posit its dependency on even-versus-odd Analytic ranks, degree of L-function, and particular gamma factor present in functional equations for Genus 1 elliptic curves and higher Genus curves. By invoking inclusion-exclusion principle, our mathematical arguments are postulated to satisfy Riemann hypothesis, and Birch and Swinnerton-Dyer conjecture in their Generalized formats. We explicitly mention underlying proven / unproven hypotheses or conjectures. We provide Algebraic-Transcendental proof (Proof by induction) as supplementary material for open problem in Number theory of Riemann hypothesis whereby it is proposed all nontrivial zeros of Riemann zeta function are located on its Critical line.