2006
DOI: 10.1515/gmj.2006.55
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On the Fourier Expansions of Eisenstein Series of Some Types

Abstract: Bases of the spaces of Eisenstein series E k (Γ 0 (4N ), χ) (k ∈ N, k ≥ 3, N is an odd natural and square-free) and E k/2 ( Γ 0 (4N ), χ) (k ∈ N, 2 k, k ≥ 5, N is an odd natural and square-free) are constructed for any Dirichlet character mod 4N and Fourier expansions of these series are obtained.2000 Mathematics Subject Classification: 11F11.

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“…
The Eisenstein series corresponding to quadratic forms of type (f /2, 4N, χ) (N is a square-free natural number) are constructed using the bases of the spaces of Eisenstein series given in [4].
…”
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confidence: 99%
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“…
The Eisenstein series corresponding to quadratic forms of type (f /2, 4N, χ) (N is a square-free natural number) are constructed using the bases of the spaces of Eisenstein series given in [4].
…”
mentioning
confidence: 99%
“…We will use the notation and notions from [3] and [4]. In [5] Malyshev constructed a Hardy-Littlewood singular series for any integral positive quadratic form with f ≥ 4 variables.…”
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confidence: 99%
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