Linnik–Ibragimov universality conjecture for meromorphic Dirichlet series

Let f(s)=n=1aneλnsf(s)=\sum_{n=1}^{\infty}a_n e^{-\lambda_n s} be a Dirichlet series that is meromorphically continuable to the left of its half-plane of absolute convergence. Linnik–Ibragimov universality conjecture. All such functions are universal in some suitable region.

This conjecture asks how broadly universality extends beyond the established examples of zeta-functions and LL-functions. The source gives no further hypotheses or resolution status.

Sources & referencesView supporting material

Primary source

Kohji Matsumoto, “A survey on the theory of universality for zeta and L-functions”, arXiv:1407.4216 (2014).

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