On multiplicative energy of subsets of varieties. (13th February 2023)
- Record Type:
- Journal Article
- Title:
- On multiplicative energy of subsets of varieties. (13th February 2023)
- Main Title:
- On multiplicative energy of subsets of varieties
- Authors:
- Shkredov, Ilya D.
- Abstract:
- Abstract: We obtain a nontrivial upper bound for the multiplicative energy of any sufficiently large subset of a subvariety of a finite algebraic group. We also find some applications of our results to the growth of conjugates classes, estimates of exponential sums, and restriction phenomenon.
- Is Part Of:
- Canadian journal of mathematics. Volume 75:Number 1(2023)
- Journal:
- Canadian journal of mathematics
- Issue:
- Volume 75:Number 1(2023)
- Issue Display:
- Volume 75, Issue 1 (2023)
- Year:
- 2023
- Volume:
- 75
- Issue:
- 1
- Issue Sort Value:
- 2023-0075-0001-0000
- Page Start:
- 322
- Page End:
- 340
- Publication Date:
- 2023-02-13
- Subjects:
- 11B30 -- 11B75 -- 11B99 -- 05B99 -- 20G15 -- 42B05
Multiplicative energy -- varieties -- restriction phenomenon
Mathematics -- Periodicals
Mathematics
Electronic journals
Periodicals
510 - Journal URLs:
- https://www.cambridge.org/core/journals/canadian-journal-of-mathematics ↗
- DOI:
- 10.4153/S0008414X21000687 ↗
- Languages:
- English
- ISSNs:
- 0008-414X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 25973.xml