---
res:
  bibo_abstract:
  - "We analyze the average behavior of various arithmetic functions at the values
    of degree \U0001D451 binary forms ordered by height, with probability 1. This
    approach yields averaged versions of the Chowla conjecture and the Bateman–Horn
    conjecture for random binary forms. Furthermore, we show that the rational Hasse
    principle holds for almost all Châtelet varieties defined by a fixed norm form
    of degree \U0001D452 and by varying binary forms of fixed degree \U0001D451, provided
    \U0001D452 divides \U0001D451. This proves an average version of a conjecture
    of Colliot-Thélène.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Yijie
      foaf_name: Diao, Yijie
      foaf_surname: Diao
      foaf_workInfoHomepage: http://www.librecat.org/personId=7b7eb4ca-eb2c-11ec-b98b-accec0b20c3b
    orcid: 0000-0002-4989-5330
  bibo_doi: 10.1017/s0017089526101074
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0017-0895
  - http://id.crossref.org/issn/1469-509X
  dct_language: eng
  dct_publisher: Cambridge University Press@
  dct_title: Liouville function, von Mangoldt function, and norm forms at random binary
    forms@
...