: Mathematics: automorphic form

... > algebraic topology > manifold > differentiable manifold > Lie group > automorphic form

... > topological space > manifold > differentiable manifold > Lie group > automorphic form

geometry > differential geometry > differentiable manifold > Lie group > automorphic form

topology > differential topology > differentiable manifold > Lie group > automorphic form

algebra > group theory > topological group > Lie group > automorphic form

number > number theory > automorphic form

mathematical analysis > functional analysis > transformation > harmonic analysis > automorphic form

automorphic form

In harmonic analysis and number theory, 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 ${\\displaystyle \\Gamma \\subset G}$ of the topological group. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Automorphic_form)

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