First Chebyshev function
Revision as of 03:12, 29 April 2009 by Vipul
This article is about a function defined on positive reals (and in particular, natural numbers) obtained as the summatory function of an arithmetic function.
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Let be a positive real number. The first Chebyshev function of , denoted or , is defined as:
where the sum is only over the prime numbers less than or equal to .