EUDML

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Small values of n2 ... (mod 1).

Alexandru Zaharescu — 1995

Inventiones mathematicae

The distribution of the values of a rational function modulo a big prime

Alexandru Zaharescu — 2003

Journal de théorie des nombres de Bordeaux

Given a large prime number $p$ and a rational function $r (X)$ defined over $𝔽_{p} = ℤ / p ℤ$ , we investigate the size of the set $\{x \in 𝔽_{p} : \tilde{r} (x) > \tilde{r} (x + 1)$ , where $\tilde{r} (x)$ and $\tilde{r} (x + 1)$ denote the least positive representatives of $r (x)$ and $r (x + 1)$ in $ℤ$ modulo $p ℤ$ .

Averages of short exponential sums

Alexandru Zaharescu — 1999

Acta Arithmetica

Averages of short exponential sums, II

Alexandru Zaharescu — 2001

Acta Arithmetica

On the singularities of multiple L-functions

Alexandru Zaharescu; Mohammad Zaki — 2010

Open Mathematics

We investigate the singularities of a class of multiple L-functions considered by Akiyama and Ishikawa [2].

On the distribution of primitive roots mod p

Cristian Cobeli; Alexandru Zaharescu — 1998

Acta Arithmetica

A metric result on the pair correlation of fractional parts of sequences

Zeév Rudnick; Alexandru Zaharescu — 1999

Acta Arithmetica

Pair correlation of lattice points with prime constraint

Maosheng Xiong; Alexandru Zaharescu — 2012

Acta Arithmetica

On the distribution of the Fₚ-points on an affine curve in r dimensions

Cristian Cobeli; Alexandru Zaharescu — 2001

Acta Arithmetica

On the parity of the number of multiplicative partitions

Alexandru Zaharescu; Mohammad Zaki — 2010

Acta Arithmetica

Natural numbers n for which ⌊nα + s⌋ ≠ ⌊nβ + s⌋

Douglas Bowman; Alexandru Zaharescu — 2012

Acta Arithmetica

Nonvanishing of Fourier coefficients of newforms in progressions

Emre Alkan; Alexandru Zaharescu — 2005

Acta Arithmetica

A problem of Erdős-Szüsz-Turán on diophantine approximation

Maosheng Xiong; Alexandru Zaharescu — 2006

Acta Arithmetica

Trace functions and Galois invariant p-adic measures.

Marian Vajaitu; Alexandru Zaharescu — 2006

Publicacions Matemàtiques

Analytic normal basis theorem

Victor Alexandru; Nicolae Popescu; Alexandru Zaharescu — 2008

Open Mathematics

Let p be a prime number, ℚp the field of p-adic numbers, and ${\bar{ℚ}}_{p}$ a fixed algebraic closure of ℚp. We provide an analytic version of the normal basis theorem which holds for normal extensions of intermediate fields ℚp ⊆ K ⊆ L ⊆ ${\bar{ℚ}}_{p}$ .

A representation theorem for a class of rigid analytic functions

Victor Alexandru; Nicolae Popescu; Alexandru Zaharescu — 2003

Journal de théorie des nombres de Bordeaux

Let $p$ be a prime number, $ℚ_{p}$ the field of $p$ -adic numbers and $ℂ_{p}$ the completion of the algebraic closure of $ℚ_{p}$ . In this paper we obtain a representation theorem for rigid analytic functions on $𝐏^{1} (ℂ_{p}) ∖ C (t, ϵ)$ which are equivariant with respect to the Galois group $G = G a l_{c o n t} (ℂ_{p} / ℚ_{p})$ , where $t$ is a lipschitzian element of $ℂ_{p}$ and $C (t, ϵ)$ denotes the $ϵ$ -neighborhood of the $G$ -orbit of $t$ .

The jumping champions of the Farey series

Cristian Cobeli; Kevin Ford; Alexandru Zaharescu — 2003

Acta Arithmetica

On the correlation of families of pseudorandom sequences of k symbols

Kit-Ho Mak; Alexandru Zaharescu — 2016

Acta Arithmetica

In an earlier paper Gyarmati introduced the notion of f-correlation for families of binary pseudorandom sequences as a measure of randomness in the family. In this paper we generalize the f-correlation to families of pseudorandom sequences of k symbols and study its properties.