Updating the error term in the prime number theorem
An improved estimate is given for |θ (x) − x|, where θ (x) = p≤x log p. Four applications are given: the first to arithmetic progressions that have points in common, the second to primes in short intervals, the third to a conjecture by Pomerance and the fourth to an inequality studied by Ramanujan.
|Collections||ANU Research Publications|
|Source:||The Ramanujan Journal|
|Trudgian Updating the error term 2015.pdf||274.13 kB||Adobe PDF|
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