2010.83: On the difference \pi(x) - li(x)
2010.83: Christine Lee (2008) On the difference \pi(x) - li(x). Masters thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.
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Abstract
A full exposition of Littlewood's proof that the sign of \pi(x) - li(x) changes infinitely many times.
So, where is the first crossover? In 2008, the best upper bound for the first crossover was due to Chao-Plymen, now published in Int. J. Number Theory 6 (2010) 681 - 690.
The emphasis in this dissertation is on the mathematical analysis involved in the proofs.
| Item Type: | Thesis (Masters) |
|---|---|
| Uncontrolled Keywords: | Primes, first crossover, logarithmic integral |
| Subjects: | MSC 2000 > 11 Number theory |
| MIMS number: | 2010.83 |
| Deposited By: | Professor Roger Plymen |
| Deposited On: | 19 September 2010 |
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