Abstract
Let θ(x) = ∑p≤xlogp. We show that θ(x) < x for 2 < x < 1.39·1017. We
also show that there is an x < exp(727.951332668) for which θ(x) > x.
Original language | English |
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Pages (from-to) | 1539-1547 |
Number of pages | 9 |
Journal | Mathematics of Computation |
Volume | 85 |
DOIs | |
Publication status | Published - 21 Aug 2015 |
Keywords
- Sign changes of arithmetical functions
- oscillation theorems
Equipment
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HPC (High Performance Computing) Facility
Sadaf R Alam (Manager), Steven A Chapman (Manager), Polly E Eccleston (Other), Simon H Atack (Other) & D A G Williams (Manager)
Facility/equipment: Facility