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1
Content available remote

Averages of short exponential sums, II

100%
Zaharescu A.
Acta Arithmetica
|
2001
|
tom 100
|
nr 4
339-348
2
Content available remote

Averages of short exponential sums

100%
Zaharescu A.
Acta Arithmetica
|
1999
|
tom 88
|
nr 3
223-231
3
Content available remote

On the singularities of multiple L-functions

64%
Zaharescu A., Zaki M.
Open Mathematics
|
2010
|
tom 8
|
nr 2
289-298
EN
We investigate the singularities of a class of multiple L-functions considered by Akiyama and Ishikawa [2].
4
Content available remote

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

64%
Cobeli C., Zaharescu A.
Acta Arithmetica
|
2001
|
tom 99
|
nr 4
321-329
5
Content available remote

Nonvanishing of Fourier coefficients of newforms in progressions

64%
Alkan E., Zaharescu A.
Acta Arithmetica
|
2005
|
tom 116
|
nr 1
81-98
6
Content available remote

On the parity of the number of multiplicative partitions

64%
Zaharescu A., Zaki M.
Acta Arithmetica
|
2010
|
tom 145
|
nr 3
221-232
7
Content available remote

On the distribution of primitive roots mod p

64%
Cobeli C., Zaharescu A.
Acta Arithmetica
|
1998
|
tom 83
|
nr 2
143-153
8
Content available remote

A problem of Erdős-Szüsz-Turán on diophantine approximation

64%
Xiong M., Zaharescu A.
Acta Arithmetica
|
2006
|
tom 125
|
nr 2
163-177
9
Content available remote

Pair correlation of lattice points with prime constraint

64%
Xiong M., Zaharescu A.
Acta Arithmetica
|
2012
|
tom 154
|
nr 1
29-43
10
Content available remote

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

64%
Bowman D., Zaharescu A.
Acta Arithmetica
|
2012
|
tom 154
|
nr 3
217-233
11
Content available remote

On the correlation of families of pseudorandom sequences of k symbols

64%
Mak K.-H., Zaharescu A.
Acta Arithmetica
|
2016
|
tom 174
|
nr 3
199-215
EN
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.
12
Content available remote

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

64%
Rudnick Z., Zaharescu A.
Acta Arithmetica
|
1999
|
tom 89
|
nr 3
283-293
13
Content available remote

Analytic normal basis theorem

52%
Alexandru V., Popescu N., Zaharescu A.
Open Mathematics
|
2008
|
tom 6
|
nr 3
351-356
EN
Let p be a prime number, ℚp the field of p-adic numbers, and $$ \bar {\mathbb{Q}}_p $$ 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 ⊆ $$ \bar {\mathbb{Q}}_p $$ .
14
Content available remote

The jumping champions of the Farey series

52%
Cobeli C., Ford K., Zaharescu A.
Acta Arithmetica
|
2003
|
tom 110
|
nr 3
259-274
15
Content available remote

On the distribution of the partial sum of Euler's totient function in residue classes

52%
Lamzouri Y., Phaovibul M., Zaharescu A.
Colloquium Mathematicum
|
2011
|
tom 123
|
nr 1
115-127
EN
We investigate the distribution of $Φ(n) = 1+ ∑_{i=1}ⁿ φ(i)$ (which counts the number of Farey fractions of order n) in residue classes. While numerical computations suggest that Φ(n) is equidistributed modulo q if q is odd, and is equidistributed modulo the odd residue classes modulo q when q is even, we prove that the set of integers n such that Φ(n) lies in these residue classes has a positive lower density when q = 3,4. We also provide a simple proof, based on the Selberg-Delange method, of a result of T. Dence and C. Pomerance on the distribution of φ(n) modulo 3.
16
Content available remote

Diophantine approximation with partial sums of power series

52%
Berndt B., Kim S., Phaovibul M., Zaharescu A.
Acta Arithmetica
|
2013
|
tom 161
|
nr 3
249-266
EN
We study the question: How often do partial sums of power series of functions coalesce with convergents of the (simple) continued fractions of the functions? Our theorems quantitatively demonstrate that the answer is: not very often. We conjecture that in most cases there are only a finite number of partial sums coinciding with convergents. In many of these cases, we offer exact numbers in our conjectures.
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