Hyperquasipolynomials for the Theta-Function


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Let g be a linear combination with quasipolynomial coefficients of shifts of the Jacobi theta function and its derivatives in the argument. All entire functions f: ℂ → ℂ satisfying f(x+y)g(xy) = α1(x)β1(y)+· · ·+αr(x)βr(y) for some r ∈ ℕ and αj, βj: ℂ → ℂ are described.

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A. Illarionov

Khabarovsk Division, Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

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Email: illar_a@list.ru
俄罗斯联邦, Khabarovsk

M. Romanov

Khabarovsk Division, Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Email: illar_a@list.ru
俄罗斯联邦, Khabarovsk

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