Séries de Dirichlet et intégrales associées à un polynôme à deux indéterminées. (Dirichlet series and integrals associated with a polynomial of two variables)
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Publication:1070273
DOI10.1016/0022-314X(86)90002-8zbMath0584.10022MaRDI QIDQ1070273
Publication date: 1986
Published in: Journal of Number Theory (Search for Journal in Brave)
Dirichlet seriesmeromorphic continuationBernstein polynomialexamplespolesresidueNewton polygon at infinityNewton polygon at zero
Power series, series of functions of several complex variables (32A05) Dirichlet series, exponential series and other series in one complex variable (30B50) Hurwitz and Lerch zeta functions (11M35)
Related Items (12)
SPECIAL VALUES OF DIRICHLET SERIES AND ZETA INTEGRALS ⋮ Racines de polynômes de Bernstein. (Zeros of Bernstein polynomials) ⋮ Entrelacs toriques itérés et intégrales associées à une courbe plane ⋮ Behaviour at the non-positive integers of Dirichlet series associated to polynomials of several variables ⋮ On the b-exponents of generic isolated plane curve singularities ⋮ $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning ⋮ Singularités de séries de Dirichlet associées à des polynômes de plusieurs variables et applications en théorie analytique des nombres. (Singularities of Dirichlet series associated to polynomials of several variables and applications to analytic number theory) ⋮ The Special Values at Negative Integers of Dirichlet Series Associated with Polynomials of Several Variables ⋮ Polynôme de Bernstein générique. (Generic Bernstein polynomials) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A theorem on zeta functions associated with polynomials
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