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Small zeros of quadratic $$L$$-functions. (English) Zbl 0777.11031
Various authors have shown that the zeros of Dirichlet $$L$$-functions close to the real axis have a significant bearing on such topics as the distribution of primes among residue classes $$\pmod q$$ and the class numbers of non-real quadratic fields. The authors investigate the distribution of the imaginary parts of zeros of quadratic $$L$$-functions near the real axis by determining the asymptotic behavior of a certain sum over fundamental discriminants which are absolutely $$\leq D$$ as $$D\to\infty$$. The results assume the Generalized Riemann Hypothesis.

##### MSC:
 11M26 Nonreal zeros of $$\zeta (s)$$ and $$L(s, \chi)$$; Riemann and other hypotheses
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##### References:
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