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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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|
|Deposited By:||Professor Roger Plymen|
|Deposited On:||19 September 2010|