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This article describes holomorphic Eisenstein series in dimension 1; for the non-holomorphic case see real analytic Eisenstein series and for the higher dimensional case see Siegel Eisenstein seriesEisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with infinite series expansions that may be written down directly. Originally defined for the modular group, Eisenstein series can be generalized in the theory of automorphic forms.

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  • This article describes holomorphic Eisenstein series in dimension 1; for the non-holomorphic case see real analytic Eisenstein series and for the higher dimensional case see Siegel Eisenstein seriesEisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with infinite series expansions that may be written down directly. Originally defined for the modular group, Eisenstein series can be generalized in the theory of automorphic forms.
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