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Acta Arithmetica

Acta Arithmetica

### An inequality for the class number.

JIPAM. Journal of Inequalities in Pure &amp; Applied Mathematics [electronic only]

Acta Arithmetica

### Caractérisation des fonctions multiplicatives presque-${B}^{\lambda }$ périodiques à spectre non vide

Annales de l'institut Fourier

Nous caractérisons, dans cet article, les fonctions multiplicatives presque périodiques au sens de Bésicovith ayant un spectre de Fourier non vide.

Manuscripta mathematica

Acta Arithmetica

### Corrélation de suites arithmétiques

Séminaire Delange-Pisot-Poitou. Théorie des nombres

### Distribution of values of Hecke characters of infinite order

Acta Arithmetica

We show that the number of primes of a number field K of norm at most x, at which the local component of an idele class character of infinite order is principal, is bounded by O(x exp(-c√(log x))) as x → ∞, for some absolute constant c > 0 depending only on K.

### Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial

Bulletin de la Société Mathématique de France

Given a multivariate polynomial $h\left({X}_{1},\cdots ,{X}_{n}\right)$ with integral coefficients verifying an hypothesis of analytic regularity (and satisfying $h\left(\mathbf{0}\right)=1$), we determine the maximal domain of meromorphy of the Euler product ${\prod }_{p\phantom{\rule{4pt}{0ex}}\mathrm{prime}}h\left({p}^{-{s}_{1}},\cdots ,{p}^{-{s}_{n}}\right)$ and the natural boundary is precisely described when it exists. In this way we extend a well known result for one variable polynomials due to Estermann from 1928. As an application, we calculate the natural boundary of the multivariate Euler products associated to a family of toric varieties.

### Fonctions arithmétiques multiplicatives et multiplicateurs de Fourier. II

Colloquium Mathematicae

### Fourier Analysis of Riemann Distributions and Explicit Formulas.

Mathematische Annalen

### Funktionen mit formalen Eulerprodukt.

Manuscripta mathematica

### Harmonic properties of some arithmetical sequences.

Manuscripta mathematica

### Mellin Transforms and Fourier-Ramanujan Expansions.

Mathematische Zeitschrift

### On Dirichlet convolution method.

International Journal of Mathematics and Mathematical Sciences

Acta Arithmetica

### On multiplicative magic squares.

The Electronic Journal of Combinatorics [electronic only]

### On the ${B}^{\lambda }$ almost periodic behaviour of certain arithmetical convolutions

Rendiconti del Seminario Matematico della Università di Padova

### On the number of perfect binary quadratic forms.

Experimental Mathematics

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