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The Riemann zeta function ζ(s) was introduced by Euler and Riemann and is an importantobject in number theory. The special values of Riemann zeta function have striking arithmeticproperties: ζ(k) is a rational number for every negative odd integer k, and Kummer congruenceasserts that these values vary continuously under the p-adic topology. L-functions are naturalgeneralizations of the Riemann zeta function.
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