Assuming that the Selberg class of L-functions is (essentially) countable and that the Selberg orthonormality conjecture holds, we prove various forms of the Sarnak rigidity conjecture.
On the structure of the Selberg class, III: Sarnak's rigidity conjecture
PERELLI, ALBERTO
2000-01-01
Abstract
Assuming that the Selberg class of L-functions is (essentially) countable and that the Selberg orthonormality conjecture holds, we prove various forms of the Sarnak rigidity conjecture.
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