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In number theory, the number of divisors of an integer ... is usually denoted by ... . ( ... is the lowercase Greek letter tau.) For example, 4 has three divisors (namely, 1, 2, and 4), so ... . Suppose ... . The sum of ... for ... is an irregular step function that jumps up at every integer ... . For example, for ... , this sum is ... . For ... , this sum is ... . Similarly, the sum of ... for ... is also an irregular step function. For ... , this sum is ... . This Demonstration shows how we can approximate each of these step functions with sums that involve zeros of the Riemann zeta ( ... ) function.

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