On the Andrianov-type identity for power series attached to Jacobi forms and its application

Katsurada, Hidenori; Kawamura, Hisa-aki

doi:10.4064/aa145-3-3

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Corollary [[14] Corollary To Lemma 423] Let B ∈ Her M (O1

Formal Power Series Of Andrianov Type1

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Cited by 5 publications

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References 9 publications

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“…Thus we call it the formal power series of Andrianov type. (See also [3], [15]). The following proposition can easily be proved by (1) of Lemma 5.1.1.…”

Section: Corollary [[14] Corollary To Lemma 423] Let B ∈ Her M (Omentioning

confidence: 96%

Period of the adelic Ikeda lift for U(m, m)

Katsurada

2017

Abh. Math. Semin. Univ. Hambg.

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“…Thus we call it the formal power series of Andrianov type. (See also [3], [15]). The following proposition can easily be proved by (1) of Lemma 5.1.1.…”

Section: Corollary [[14] Corollary To Lemma 423] Let B ∈ Her M (Omentioning

confidence: 96%

Period of the adelic Ikeda lift for U(m, m)

Katsurada

2017

Abh. Math. Semin. Univ. Hambg.

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“…Thus we call it the formal power series of Andrianov type. (See also [3], [15]). The following proposition can easily be proved by (1)…”

Section: Formal Power Series Of Andrianov Typementioning

confidence: 96%

On the period of the Ikeda lift for U(m,m)

Katsurada¹

2011

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be an imaginary quadratic field with discriminant −D, and χ the Dirichlet character corresponding to the extension K/Q. Let m = 2n or 2n + 1 with n a positive integer. Let f be a primitive form of weight 2k + 1 and character χ for Γ 0 (D), or a primitive form of weight 2k for SL 2 (Z) according as m = 2n, or m = 2n + 1. For such an f let Im(f ) be the lift of f to the space of modular forms of weight 2k +2n and character det −k−n for the Hermitian modular group Γ (m) K constructed by Ikeda. We then express the period Im(f ), Im(f ) of Im(f ) in terms of special values of the adjoint L-function of f and its twist by the character χ. This proves the conjecture concerning the period of the Hermitian Ikeda lift proposed by Ikeda. Period,

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On the period of the Ikeda lift for U(m, m)

Katsurada

2016

Math. Z.

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In [18], the second and the third named authors constructed the Ikeda type lift for the exceptional group E 7,3 from an elliptic modular cusp form. In this paper, we prove an explicit formula for the period or the Petersson norm of the Ikeda type lift in terms of the product of the special values of the symmetric square L-function of the elliptic modular form. There are similar works done by the first author with his collaborator, but new technical inputs are required and developed to overcome some difficulties coming from the hugeness of E 7,3 .

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On the Andrianov-type identity for power series attached to Jacobi forms and its application

Cited by 5 publications

References 9 publications

Period of the adelic Ikeda lift for U(m, m)

Period of the adelic Ikeda lift for U(m, m)

On the period of the Ikeda lift for U(m,m)

On the period of the Ikeda lift for U(m, m)

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