Using Hooley neutralisers, a large sieve for quadratic characters is improved for multiplicatively weighted sequences, with applications to hyperbolic-region character sums.
The leading constant for rational points in families
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove asymptotics for Serre's problem on the number of diagonal planar conics with a rational point and use this to put forward a new conjecture on counting the number of varieties in a family which are everywhere locally soluble.
citation-role summary
background 1
citation-polarity summary
fields
math.NT 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
An improved large sieve for quadratic characters via Hooley neutralisers and its applications
Using Hooley neutralisers, a large sieve for quadratic characters is improved for multiplicatively weighted sequences, with applications to hyperbolic-region character sums.