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
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Alam, S. R. (Manager), Williams, D. A. G. (Manager), Eccleston, P. E. (Manager) & Greene, D. (Manager)
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