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Article: A short proof of Helson's conjecture
| Title | A short proof of Helson's conjecture |
|---|---|
| Authors | |
| Issue Date | 2025 |
| Citation | Bulletin of the London Mathematical Society, 2025, v. 57, n. 4, p. 1065-1076 How to Cite? |
| Abstract | Let (Formula presented.) be the Steinhaus multiplicative function: a completely multiplicative function such that (Formula presented.) are i.i.d. random variables uniformly distributed on the complex unit circle (Formula presented.). Helson conjectured that (Formula presented.) as (Formula presented.), and this was solved in a strong form by Harper. We give a short proof of the conjecture using a result of Saksman and Webb on a random model for the zeta function. |
| Persistent Identifier | http://hdl.handle.net/10722/367625 |
| ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 1.043 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Gorodetsky, Ofir | - |
| dc.contributor.author | Wong, Mo Dick | - |
| dc.date.accessioned | 2025-12-19T07:58:10Z | - |
| dc.date.available | 2025-12-19T07:58:10Z | - |
| dc.date.issued | 2025 | - |
| dc.identifier.citation | Bulletin of the London Mathematical Society, 2025, v. 57, n. 4, p. 1065-1076 | - |
| dc.identifier.issn | 0024-6093 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/367625 | - |
| dc.description.abstract | Let (Formula presented.) be the Steinhaus multiplicative function: a completely multiplicative function such that (Formula presented.) are i.i.d. random variables uniformly distributed on the complex unit circle (Formula presented.). Helson conjectured that (Formula presented.) as (Formula presented.), and this was solved in a strong form by Harper. We give a short proof of the conjecture using a result of Saksman and Webb on a random model for the zeta function. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Bulletin of the London Mathematical Society | - |
| dc.title | A short proof of Helson's conjecture | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1112/blms.70015 | - |
| dc.identifier.scopus | eid_2-s2.0-105002561238 | - |
| dc.identifier.volume | 57 | - |
| dc.identifier.issue | 4 | - |
| dc.identifier.spage | 1065 | - |
| dc.identifier.epage | 1076 | - |
| dc.identifier.eissn | 1469-2120 | - |