For any real linear combination of distinct Hecke L-functions over an imaginary quadratic field, including Epstein zeta-functions of binary quadratic forms, a positive proportion of non-trivial zeros lies on Re s = 1/2.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line
For any real linear combination of distinct Hecke L-functions over an imaginary quadratic field, including Epstein zeta-functions of binary quadratic forms, a positive proportion of non-trivial zeros lies on Re s = 1/2.