let be the Chebyshev function:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \psi(x)= x- \sum_{\rho} \frac{ x^{\rho}}{\rho}+C-log(1-x^{2}) [/tex] (1)

Where the sum is over the Non trivial zeros of [tex] \zeta(s)[/tex]

then we have that [tex] \psi(n) -\psi(n-1)=\Lambda (n) [/tex] where the Lambda function is only nonzero witha value of log(p) for n=p^{k} with k a positive integer...my question is.. if we use (1) to calculate Chebyshev function..couldn't we get an expression for the log(p)?..thanks.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Chebyshev function

Loading...

Similar Threads for Chebyshev function | Date |
---|---|

I How to find admissible functions for a domain? | Jan 31, 2018 |

I Is there a geometric interpretation of orthogonal functions? | Jan 25, 2018 |

Need help understanding Remez Algorithm and Chebyshev Polynomials | Apr 22, 2013 |

Anyone have any suggestions on books on chebyshev polynomials? | Dec 17, 2010 |

Chebyshev function help | Jul 21, 2009 |

**Physics Forums - The Fusion of Science and Community**