Definition:First Chebyshev Function
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Definition
The First Chebyshev Function is defined and denoted:
- $\ds \map \vartheta x := \sum_{p \mathop \le x} \ln p$
where the summation extends over all prime numbers $p$ such that $p \le x$.
Also denoted as
Some sources use $\map \theta x$ rather than $\map \vartheta x$.
Source of Name
This entry was named for Pafnuty Lvovich Chebyshev.