I`m a former student in physics (as such, I`m interested in Riemannian geometry and its connections with general relativity) fond of number theory, especially Hilbert`s 8th problem, further generalizations of the Riemann Hypothesis and almost everything related to prime numbers and L Functions. As a huge fan of the concept of symmetry, I plan to study Galois theory and representation theory of automorphism groups of discrete structures. I`m presentely trying to find a unity in all those fields by considering the semiring $(mathcal{M},times,otimes,smapsto 1,zeta) $ generated by the set of automorphic L-functions belonging to the Selberg class, which I conjecture might be embedded in some Riemannian manifold (at least for a fixed value of the degree of its elements), the automorphism group thereof could help shed a new light on Grand RH, viewing the critical line as a geodesic invariant under the action of this group. I have no idea whether such an approach is realistic or not, but any help would be greatly appreciated.
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