On sign-changes in the remainder-term of the prime-number formula, III
Jerzy Kaczorowski (1987)
Acta Arithmetica
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Displaying similar documents to “On sign-changes in the remainder-term of the prime-number formula, IV”
On sign-changes in the remainder-term of the prime-number formula, III
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Riemann’s memoir is devoted to the function π(x) defined as the number of prime numbers less or equal to the real and positive number x. This is really the fact, but the “main role” in it is played by the already mentioned zeta-function.
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A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structures, plus countably many special values) are explicitly displayed.
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