2008
DOI: 10.1007/s00010-007-2923-5
|View full text |Cite
|
Sign up to set email alerts
|

On a gcd-sum function

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
10
0

Year Published

2011
2011
2023
2023

Publication Types

Select...
4
4
1

Relationship

1
8

Authors

Journals

citations
Cited by 12 publications
(10 citation statements)
references
References 20 publications
0
10
0
Order By: Relevance
“…See the surveys by Haukkanen [31] and Tóth [77] on further properties of the gcd-sum function and its generalizations and analogs.…”
Section: The Gcd-sum Functionmentioning
confidence: 99%
“…See the surveys by Haukkanen [31] and Tóth [77] on further properties of the gcd-sum function and its generalizations and analogs.…”
Section: The Gcd-sum Functionmentioning
confidence: 99%
“…Then for s = s 1 − s 2 , we have the following problem: We want to bound the integral in (32) by a power of H, but for (s 1 , s 2 ) close to the diagonal in B H × B H we cannot do better than a constant times the Sobolev norm of f in (33). We will address this by integrating separately over a neighborhood of the diagonal that has small measure (depending on H) and away from the diagonal where max(1, |s 1 − s 2 |) is dominated by H.…”
Section: Now Considermentioning
confidence: 99%
“…There is considerable interest in gcd-sum functions (see [6,3] for surveys). We note that a related summation a≤N N b=1 τ (gcd(b, N )) , can be inferred from [5].…”
Section: Introductionmentioning
confidence: 99%