Linnik–Ibragimov universality conjecture for meromorphic Dirichlet series
Linnik–Ibragimov universality conjecture for meromorphic Dirichlet series
Let 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 -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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