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

100%

Katsurada H., Kawamura H.-a.

Acta Arithmetica

2010

tom 145

nr 3

233-265

Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamoḡlu-Ikeda lift

100%

Katsurada H., Kawamura H.-a.

Acta Arithmetica

2014

tom 162

nr 1

1-42

Let k and n be positive even integers. For a cuspidal Hecke eigenform h in the Kohnen plus space of weight k - n/2 + 1/2 for Γ₀(4), let f be the corresponding primitive form of weight 2k-n for SL₂(ℤ) under the Shimura correspondence, and Iₙ(h) the Duke-Imamoḡlu-Ikeda lift of h to the space of cusp forms of weight k for Spₙ(ℤ). Moreover, let $ϕ_{Iₙ(h),1}$ be the first Fourier-Jacobi coefficient of Iₙ(h), and $σ_{n-1}(ϕ_{Iₙ(h),1})$ be the cusp form in the generalized Kohnen plus space of weight k - 1/2 corresponding to $ϕ_{Iₙ(h),1}$ under the Ibukiyama isomorphism. We give an explicit formula for the Koecher-Maass series $L(s,σ_{n-1}(ϕ_{Iₙ(h),1}))$ of $σ_{n-1}(ϕ_{Iₙ(h),1})$ expressed in terms of the usual L-functions of h and f.

Ograniczanie wyników

2 Acta Arithmetica

2 Katsurada H.

2 Kawamura H.-a.

1 2014

1 2010

Wyniki wyszukiwania

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

Koecher-Maass series of a certain half-integral weight modular form related to the Duke-Imamoḡlu-Ikeda lift