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The Euler phi ( ... ) function (also called the totient function) is important in number theory; ... is the number of positive integers less than or equal to ... that have no factor in common with ... . For example, ... and ... . The sum of ... for positive integers ... is a function of ... that is usually denoted by ... . ... is an increasing, but irregular, step function. This Demonstration illustrates the remarkable fact that we can approximate the jumps of this step function by using a sum that involves zeros of the Riemann zeta function ... .

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      EUN,LOM,LRE4,work-cmr-id:397992,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/UsingZetaZerosToTallyTheEulerPhiFunction/,ilox,learning resource exchange,LRE metadata application profile,LRE

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