An automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup in a topological group. This is an interesting behavior with respect to natural computational theory.
Automorphic forms can be seen as the generalizations of periodic forms in the Euclidean space. We have quite a lot of harmonic, oscillatory, resonating and similar periodicity in electromagnetic fields and gravitational space time conjecture. Can we find an reflexive relationship between them and the automorphic forms in the number theory.
There is recent work of Zagier on mock modular forms and black holes. Am not sure if this answers your question. In general there are many applications of modular forms to physics.
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