Pullbacks of Siegel Eisenstein series and weighted averages of critical L-values

Amersi, Nadine; Beyerl, Jeffrey; Brown, Jim; Proffer, Allison; Rolen, Larry

doi:10.1007/s11139-011-9311-4

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2020

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Cited by 2 publications

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“…(1) A similar expression as given in the right side of Eq (1.13), appears in the weighted average formula for critical L-values given in Theorem 1.1 in [1]. However, the correct definition of A k (f ) in Theorem 1.1, [1], should be…”

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confidence: 93%

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Pullback of Klingen Eisenstein series and certain critical L-values identities

Shukla¹

2020

Preprint

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We obtain pullback formulas for Klingen Eisenstein series with arbitrary levels, with respect to both Siegel congruence and paramodular subgroups, in degree two. Pullback results are used, along with the Fourier series expansion of Klingen Eisenstein series given by Mizumoto, to prove certain identities involving critical values of L-functions attached to normalized elliptic modular forms of weight k and full level.

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confidence: 93%

“…Assume χ to be a Dirichlet character modulo N. Also, χ could be viewed as a continuous character of ideles, which we also denote by χ. Let f be an elliptic cusp form of level N, weight k and character χ, i.e., f ∈ S (1) k (Γ 2 0 (N), χ), with k > 4 and even. We also assume f to be a newform.…”

Section: Introductionmentioning

confidence: 99%