Selberg’s orthonormality conjecture and joint universality of L-functions

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Abstract

In the paper we introduce a new method how to use only an orthonormality relation of coefficients of Dirichlet series defining given L-functions from the Selberg class to prove joint universality.

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Lee, Y., Nakamura, T., & Pańkowski, Ł. (2017). Selberg’s orthonormality conjecture and joint universality of L-functions. Mathematische Zeitschrift, 286(1–2), 1–18. https://doi.org/10.1007/s00209-016-1754-2

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