The asymptotic behaviour of the number of solutions of polynomial congruences.

Segers, Dirk

Displaying similar documents to “The asymptotic behaviour of the number of solutions of polynomial congruences.”

The Reidemeister zeta function and the computation of the Nielsen zeta function

A. Fel'shtyn (1991)

Colloquium Mathematicum

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New series involving the zeta function.

Wu, Yun-Fei (2001)

International Journal of Mathematics and Mathematical Sciences

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Manin’s conjecture for a singular sextic del Pezzo surface

Daniel Loughran (2010)

Journal de Théorie des Nombres de Bordeaux

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We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type $A_{2}$ . Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.

Addition of $\pm 1$ : application to arithmetic.

Lascoux, Alain (2004)

Séminaire Lotharingien de Combinatoire [electronic only]

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Integrable functions for the Bernoulli measures of rank $1$

Hamadoun Maïga (2010)

Annales mathématiques Blaise Pascal

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In this paper, following the $p$ -adic integration theory worked out by A. F. Monna and T. A. Springer [, ] and generalized by A. C. M. van Rooij and W. H. Schikhof [, ] for the spaces which are not $σ$ -compacts, we study the class of integrable $p$ -adic functions with respect to Bernoulli measures of rank $1$ . Among these measures, we characterize those which are invertible and we give their inverse in the form of series.

A note on some expansions of p-adic functions

Grzegorz Szkibiel (1992)

Acta Arithmetica

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Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, which we shall denote by ${(ϕ ₘ)}_{m \in ℕ ₀}$ . The system ${(ϕ ₘ)}_{m \in ℕ ₀}$ is defined in the space C(ℤₚ,ℂₚ) of ℂₚ-valued continuous functions on ℤₚ. J. Rutkowski has also considered some questions concerning expansions of functions from C(ℤₚ,ℂₚ) with respect to ${(ϕ ₘ)}_{m \in ℕ ₀}$ . This paper is a remark to Rutkowski’s paper. We define another system ${(h ₙ)}_{n \in ℕ ₀}$ in C(ℤₚ,ℂₚ), investigate its properties and compare it to the system defined by Rutkowski....

Corrigendum to the paper "On the 2-primary part of a conjecture of Birch and Tate" (Acta Arith. 43 (1983), 69-81)

Jerzy Urbanowicz (1993)

Acta Arithmetica

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On the computation of the GCD of 2-D polynomials

Panagiotis Tzekis, Nicholas Karampetakis, Haralambos Terzidis (2007)

International Journal of Applied Mathematics and Computer Science

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The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.

Factorization problems in class number two

Franz Halter-Koch (1993)

Colloquium Mathematicae

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