Filter

Refine by Access

Refine by Collections

Refine by Type

Refine by Date

—
  • Print
  • Save

Search Results

You are looking at 1 - 10 of 20 items for

  • Author or Editor: A. Balog x
  • Refine by Access: All Content x
Clear All Modify Search

Statistical theorems about the embeddings of Abelian groups into symmetrical ones

Acta Mathematica Hungarica
Volume/Issue:
Volume 39: Issue 1-3
DOI:
https://doi.org/10.1007/bf01895221
Author: A. Balog
Restricted access

On sum-intersective sets

Acta Mathematica Hungarica
Volume/Issue:
Volume 55: Issue 1-2
DOI:
https://doi.org/10.1007/bf01951397
Author: A. Balog
Restricted access

On the distribution of 179-1179-1179-1mod 1

Acta Mathematica Hungarica
Volume/Issue:
Volume 45: Issue 1-2
DOI:
https://doi.org/10.1007/bf01955036
Author: A. Balog
Restricted access

On additive representation of integers

Acta Mathematica Hungarica
Volume/Issue:
Volume 54: Issue 3-4
DOI:
https://doi.org/10.1007/bf01952060
Author: A. Balog
Restricted access

An elementary Tauberian theorem and the prime number theorem

Acta Mathematica Hungarica
Volume/Issue:
Volume 37: Issue 1-3
DOI:
https://doi.org/10.1007/bf01904891
Author: A. Balog
Restricted access

On triplets with descending largest prime factors

Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 38: Issue 1-4
DOI:
https://doi.org/10.1556/sscmath.38.2001.1-4.3
Author: A. Balog

For an integer n≯1 letP(n) be the largest prime factor of n. We prove that there are infinitely many triplets of consecutive integers with descending largest prime factors, that is P(n - 1) ≯P(n)≯P(n+1) occurs for infinitely many integers n.

Restricted access

On sums of sequences of integers. II

Acta Mathematica Hungarica
Volume/Issue:
Volume 44: Issue 1-2
DOI:
https://doi.org/10.1007/bf01974113
Authors: A. Balog and A. Sárközy
Restricted access

On sums of sequences of integers. III

Acta Mathematica Hungarica
Volume/Issue:
Volume 44: Issue 3-4
DOI:
https://doi.org/10.1007/bf01950288
Authors: A. Balog and A. Sárközy
Restricted access

Exponential sums over primes in short intervals

Acta Mathematica Hungarica
Volume/Issue:
Volume 48: Issue 1-2
DOI:
https://doi.org/10.1007/bf01949067
Authors: A. Balog and A. Perelli
Restricted access

On the Exponential sum over r-Free Integers

Acta Mathematica Hungarica
Volume/Issue:
Volume 90: Issue 3
DOI:
https://doi.org/10.1023/a:1006754512257
Authors: A. Balog and I. Ruzsa

Abstract  

We determine, up to a constant factor, the L 1 mean of the exponential sum formed with the r-free integers. This improves earlier results of Brdern, Granville, Perelli, Vaughan and Wooley. As an application, we improve the known bound for the L 1 norm of the exponential sum defined with the Mbius function.

Restricted access