---
res:
bibo_abstract:
- "Let P(x)∈Z[x] be a polynomial with at least two distinct complex roots. We prove
that the number of solutions (x1,…,xk,y1,…,yk)∈[N]2k to the equation\r\n∏1≤i≤kP(xi)=∏1≤j≤kP(yj)≠0\r\n(for
any k≥1 ) is asymptotically k!Nk as N→+∞. This solves a question first proposed
and studied by Najnudel. The result can also be interpreted as saying that all
even moments of random partial sums 1N√∑n≤Nf(P(n)) match standard complex Gaussian
moments as N→+∞\r\n , where f is the Steinhaus random multiplicative function.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Victor
foaf_name: Wang, Victor
foaf_surname: Wang
foaf_workInfoHomepage: http://www.librecat.org/personId=76096395-aea4-11ed-a680-ab8ebbd3f1b9
- foaf_Person:
foaf_givenName: Max Wenqiang
foaf_name: Xu, Max Wenqiang
foaf_surname: Xu
bibo_doi: 10.1112/blms.13095
dct_date: 2024^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/0024-6093
- http://id.crossref.org/issn/1469-2120
dct_language: eng
dct_publisher: London Mathematical Society@
dct_title: Paucity phenomena for polynomial products@
...