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ON THE ABSENCE OF ZEROS IN INFINITE ARITHMETIC PROGRESSION FOR CERTAIN ZETA FUNCTIONS
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 98 / Issue 3 / December 2018
- Published online by Cambridge University Press:
- 15 August 2018, pp. 376-382
- Print publication:
- December 2018
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- Article
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Putnam [‘On the non-periodicity of the zeros of the Riemann zeta-function’, Amer. J. Math.76 (1954), 97–99] proved that the sequence of consecutive positive zeros of
$\unicode[STIX]{x1D701}(\frac{1}{2}+it)$ does not contain any infinite arithmetic progression. We
extend this result to a certain class of zeta functions.
