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The Riemann zeta function has zeros for all negative even numbers and for infinitely many complex num

{{r|Riemann zeta function}}

...p> to the integer ''n'': the normalizing factor is then the value of the [[Riemann zeta function]]

Applying this to the logarithmic derivative of the [[Riemann zeta function]], where the coefficints in the Dirichlet series are values of the [[von Ma

If χ is principal then ''L''(''s'',χ) is the [[Riemann zeta function]] with finitely many [[Euler factor]]s removed, and hence has a [[pole (com

* [[Riemann zeta function]]

...f several related series which, from a modern viewpoint, are values of the Riemann zeta function at positive even integers. His argument was highly non-rigorous, assuming

...ions. Some examples of special functions are the [[error function]], the [[Riemann Zeta Function]], the [[Bessel functions]], and the [[Gamma Function]].

...the study of the [[Riemann zeta function]]. A fundamental property of the Riemann zeta function is its [[functional equation]]:

...em concerns the value of the so-called [[zeta constant]]s, which are the [[Riemann zeta function]] evaluated at the integers. Euler proved that ζ(2) = π²

the study of [[Complex analysis|analytical]] objects (e.g., the [[Riemann zeta function]]) that encode properties of the integers, primes or other number-theoretic ...ng point for analytic number theory would be [[Riemann]]'s memoir on the [[Riemann zeta function]] (1859); there is also

...(though not fully rigorous) early work on what would later be called the [[Riemann zeta function]].<ref>Varadarajan, op. cit., pp. 48-55; see also chapter III.</ref> ...arting point for analytic number theory would be Riemann's memoir on the [[Riemann zeta function]] (1859); Jacobi's work on the four square theorem would be an almost equal