HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Sidon set in a union of intervals

Abstract : We study the maximum size of Sidon sets in unions of integers intervals. If A ⊂ N is the union of two intervals and if |A| = n (where |A| denotes the cardinality of A), we prove that A contains a Sidon set of size at least 0, 876 √ n. On the other hand, by using the small differences technique, we establish a bound of the maximum size of Sidon sets in the union of k intervals.
Keywords : Sidon intervals
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.univ-lorraine.fr/hal-03519109
Contributor : Robin Riblet Connect in order to contact the contributor
Submitted on : Wednesday, February 2, 2022 - 10:44:39 PM
Last modification on : Friday, February 4, 2022 - 10:24:10 AM

File

Sidon_set_in_intervals.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

Identifiers

  • HAL Id : hal-03519109, version 2

Collections

Citation

Robin Riblet. Sidon set in a union of intervals. 2022. ⟨hal-03519109v2⟩

Share

Metrics

Record views

39

Files downloads

15