Conjectures and experiments concerning the moments of $L(1/2,χ_d)$

Details Conjectures and experiments concerning the moments of $L(1/2,χ_d)$ Conjectures and experiments concerning the moments of $L(1/2,χ_d)$

2011-10-03

arxiv.org/abs/1110.0253v2

Mathematics

Number Theory

Scientific paper

We report on some extensive computations and experiments concerning the moments of quadratic Dirichlet $L$-functions at the critical point. We computed the values of $L(1/2,\chi_d)$ for $- 5\times 10^{10} < d < 1.3 \times 10^{10}$ in order to numerically test conjectures concerning the moments $\sum_{|d|

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