Improved Estimate for the Prime Counting Function

Theophilus Agama^1,

¹Department of Mathematics, African Institute for Mathematical Science, Ghana

Cite this paper:
Theophilus Agama. Improved Estimate for the Prime Counting Function. Turkish Journal of Analysis and Number Theory. 2019; 7(1):1-4. doi: 10.12691/tjant-7-1-1

Abstract

Using some simple combinatorial arguments, we establish some new estimates for the prime counting function and its allied functions. In particular we show that where This is an improvement to the estimate found in the literature.

Keywords:
prime theta

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References:

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