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 functionFile in questo prodotto:
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