Abstract
By modifying Montgomery’s calculation of the pair correlation of zeta zeros, we derive analogous results. In this article we work out the correlation of zeta zeros with the relative maxima of the zeta-function on the critical line, the pair correlation of these maxima and the correlation of zeros of two Dirichlet L-functions. In each case the relevant Riemann Hypothesis is assumed for obtaining the results. Several auxiliary results necessary for the calculations may be useful in problems about the zeta-function.
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Acknowledgements
C.Y. Yıldırım thanks Professors Enrico Bombieri and Andrew Granville for helpful conversations and suggestions.
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Karabulut, Y., Yıldırım, C.Y. (2017). Some Analogues of Pair Correlation of Zeta Zeros. In: Montgomery, H., Nikeghbali, A., Rassias, M. (eds) Exploring the Riemann Zeta Function. Springer, Cham. https://doi.org/10.1007/978-3-319-59969-4_7
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DOI: https://doi.org/10.1007/978-3-319-59969-4_7
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