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- W1977498230 abstract "Let $P(X)$ be a polynomial of degree N with complex coefficients and ${d_1},{d_2}$ two complex numbers with real part greater then $-1$. Consider the Dirichlet series associated with the triple $(P(X),{d_1},{d_2})$ [ L(s) = sum limits _{n = 1}^infty {frac {{P(n)}}{{{{(n + {d_1})}^s}{{(n + {d_2})}^s}}}.} ] In this paper we get an explicit formula for $L(s)$ in terms of special functions which gives meromorphic continuation of $L(s)$ with at most simple poles at $s = (N + 1 - k)/2,k = 0,1, ldots$ Finally we apply our explicit formula to Minakshisundaramâs zeta function of the three-dimensional sphere." @default.
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- W1977498230 date "1994-01-01" @default.
- W1977498230 modified "2023-09-26" @default.
- W1977498230 title "On Dirichlet series associated with polynomials" @default.
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- W1977498230 doi "https://doi.org/10.1090/s0002-9939-1994-1179586-5" @default.
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