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- W2073042775 abstract "A representation is obtained for the zeta function of the additive divisor problem ;, by means of the spectral characteristics of the automorphic Laplacian. On the basis of this representation, the meromorphic continuability of ζk(s) to the whole complex plane is proved and a power estimate of the growth of ζk(s) as |s|→ ∞ in the critical strip 0Řes⩽1 is obtained. From this, with the help of the method of complex integration, the asymptotic formula , is derived, where Pk (x) is a quadratic polynomial" @default.
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- W2073042775 date "1987-01-01" @default.
- W2073042775 modified "2023-10-03" @default.
- W2073042775 title "The zeta function of the additive divisor problem and spectral decomposition of the automorphic Laplacian" @default.
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- W2073042775 doi "https://doi.org/10.1007/bf01104973" @default.
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