For large prime P and T at least on the order of 1 over sqrt(log P), the summed count of low-lying zeros on the critical line over characters mod P satisfies sum N0(T, chi) much greater than T squared P sqrt(log P).
Fazzari,A weighted one-level density of families of L-functions, Algebra & Number Theory18(2024), no
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Low-Lying Zeros on the Critical Line for Families of Dirichlet $L$-Functions
For large prime P and T at least on the order of 1 over sqrt(log P), the summed count of low-lying zeros on the critical line over characters mod P satisfies sum N0(T, chi) much greater than T squared P sqrt(log P).