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On a hypothesis on Poincaré series (1973)

Gusev, G. I.

Springer

Mathematical notes 14 (1973), S. 817-822

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ISSN: 1573-8876

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Let F(x1,..., xm) (m≥1) be a polynomial with integral p-adic coefficients, and let Nα, be the number of solutions of the congruence F(x1,..., Xm)=0 mod A proof is given that the Poincaré series Φ(t) = ∑ α0 ∞ N α t α is rational for a class of isometrically-equivalent polynomials of m variables (m≥2) containing a form of degree n≥2 of two variables.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01147462

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