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Riemann zeta function for nonnegative even integers. The Riemann zeta function for negative even integers is 0 (those are the trivial zeros of the Riemann zeta function). The Riemann zeta function for nonnegative even integers is given by (note that is the only rational number for nonnegative even integers) where are the Bernoulli numbers.
ZETA. n. 1. (Nuclear Physics) a torus-shaped apparatus used for research in the 1950s and early 1960s on controlled thermonuclear reactions and plasma physics. [C20: from z (ero-) e (nergy) t (hermonuclear) a (pparatus)].