The sixth moment of the Riemann zeta function and ternary additive divisor sums

@article{Ng2016TheSM,
  title={The sixth moment of the Riemann zeta function and ternary additive divisor sums},
  author={Nathan Ng},
  journal={arXiv: Number Theory},
  year={2016}
}
  • N. Ng
  • Published 17 October 2016
  • Mathematics
  • arXiv: Number Theory
Hardy and Littlewood initiated the study of the $2k$-th moments of the Riemann zeta function on the critical line. In 1918 Hardy and Littlewood established an asymptotic formula for the second moment and in 1926 Ingham established an asymptotic formula for the fourth moment. Since then no other moments have been asymptotically evaluated. In this article we study the sixth moment of the zeta function on the critical line. We show that a conjectural formula for a certain family of ternary… 
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8 Citations
Background Citations
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Methods Citations
2
Results Citations
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8 Citations

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