Poincaré series (modular form)
In number theory, a Poincaré series is a mathematical series generalizing the classical theta series that is associated to any discrete group of symmetries of a complex domain, possibly of several complex variables. In particular, they generalize classical Eisenstein series. They are named after Henri Poincaré. If Γ is a finite group acting on a domain D and H(z) is any meromorphic function on D, then one obtains an automorphic function by averaging over Γ: The classical Poincaré series of weight 2k of a Fuchsian group Γ is defined by the series
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Poincaré series (modular form)
In number theory, a Poincaré series is a mathematical series generalizing the classical theta series that is associated to any discrete group of symmetries of a complex domain, possibly of several complex variables. In particular, they generalize classical Eisenstein series. They are named after Henri Poincaré. If Γ is a finite group acting on a domain D and H(z) is any meromorphic function on D, then one obtains an automorphic function by averaging over Γ: The classical Poincaré series of weight 2k of a Fuchsian group Γ is defined by the series
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In number theory, a Poincaré s ...... es is, for n ≥ 1, a cusp form.
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In number theory, a Poincaré s ...... oup Γ is defined by the series
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Poincaré series (modular form)
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