In the general framework of the Selberg class of L-functions we prove that the prime number theorem is equivalent to the non-vanishing on the 1-line. The argument in the proof is apparently new even in the case of the Riemann zeta function

On the prime number theorem for the Selberg class

PERELLI, ALBERTO
2003-01-01

Abstract

In the general framework of the Selberg class of L-functions we prove that the prime number theorem is equivalent to the non-vanishing on the 1-line. The argument in the proof is apparently new even in the case of the Riemann zeta function
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/210652
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