Revision as of 16:20, 11 January 2009 edit Michael Hardy (talk \| contribs) Administrators 210,577 edits m →Explicit formula for the Riemann zeta function ← Previous edit		Revision as of 16:20, 11 January 2009 edit undo Michael Hardy (talk \| contribs) Administrators 210,577 edits m →Explicit formula for the Riemann zeta function Next edit →
Line 26: The terms in the formula arise in the following way. The terms on the right hand side come from the logarithmic derivative of :: <math>\zeta^(s)= \Gamma(s/2)\pi^{-s/2}\~~prod_{p}~~prod_p \frac{1}{1-p^{-s}}</math> :with the terms corresponding to the prime ''p'' coming from the Euler factor of ''p'', and the term at the end involving Ψ coming from the gamma factor (the Euler factor at infinity). The left-hand side is a sum over all zeros of ''ζ''<sup></sup> counted with multiplicities, so the poles at 0 and 1 are counted as zeros of order −1.

Explicit formulae for L-functions: Difference between revisions