Computing Igusa's local zeta functions of univariate polynomials, and linear feedback shift registers.

Zuniga-Galindo, W. A.

Displaying similar documents to “Computing Igusa's local zeta functions of univariate polynomials, and linear feedback shift registers.”

On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions

Manfred Kühleitner, Werner Nowak (2013)

Open Mathematics

Similarity:

The paper deals with lower bounds for the remainder term in asymptotics for a certain class of arithmetic functions. Typically, these are generated by a Dirichlet series of the form ζ 2(s)ζ(2s−1)ζ M(2s)H(s), where M is an arbitrary integer and H(s) has an Euler product which converges absolutely for R s > σ0, with some fixed σ0 < 1/2.

An integral involving the generalized zeta function.

Elizalde, E., Romeo, A. (1990)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Sets of integers that do not contain long arithmetic progressions.

O'Bryant, Kevin (2011)

The Electronic Journal of Combinatorics [electronic only]

Similarity:

Linear forms in members of a binary recursive sequence

T. Shorey (1984)

Acta Arithmetica

Similarity:

Some problems on mean values of the Riemann zeta-function

Aleksandar Ivić (1996)

Journal de théorie des nombres de Bordeaux

Similarity:

Several problems and results on mean values of $ζ (s)$ are discussed. These include mean values of $| ζ (\frac{1}{2} + i t) |$ and the fourth moment of $| ζ (σ + i t) |$ for $1 / 2 < σ < 1$ .

Multiple p-adic log-gamma functions and their characterization theorem

Ken Kamano (2010)

Acta Arithmetica

Similarity:

On zeta-functions associated to certain cusp forms. II

Antanas Laurinčikas, Joern Steuding, Darius Šiaučiūnas (2009)

Open Mathematics

Similarity:

A formula for the mean value of multiplicative functions associated to certain cusp forms is obtained. The paper is a continuation of [4].

Computation of $p$ -adic heights and log convergence.

Mazur, Barry, Stein, William, Tate, John (2007)

Documenta Mathematica

Similarity:

An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial

Hideaki Ishikawa, Kohji Matsumoto (2011)

Open Mathematics

Similarity:

We prove an explicit formula of Atkinson type for the error term in the asymptotic formula for the mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. To deal with the case when coefficients of the Dirichlet polynomial are complex, we apply the idea of the first author in his study on mean values of Dirichlet L-functions.

General $gcd$ -product function.

Loveless, Andrew D. (2006)

Integers

Similarity:

On general L-functions

E. Carletti, G. Monti Bragadin, A. Perelli (1994)

Acta Arithmetica

Similarity:

On certain arithmetic functions involving the greatest common divisor

Ekkehard Krätzel, Werner Nowak, László Tóth (2012)

Open Mathematics

Similarity:

The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.