9 citations · 12 across the 3 of their papers we have counts for
5 papers
The error term in the prime number theorem
Dave Platt, Tim Trudgian
We make explicit a theorem of Pintz concerning the error term in the prime number theorem. This gives an improved version of the prime number theorem with error term roughly square…
On the Sum of the Square of a Prime and a Square-Free Number
Adrian Dudek, Dave Platt
We prove that every integer such that can be written as the sum of the square of a prime and a square-free number. This makes explicit a t…
On the first sign change of
Dave Platt, Tim Trudgian
Let . We show that for . We also show that there is an for which
Linnik's approximation to Goldbach's conjecture, and other problems
Dave Platt, Tim Trudgian
We examine the problem of writing every sufficiently large even number as the sum of two primes and at most powers of 2. We outline an approach that only just falls short of im…
Numerical Verification of the Ternary Goldbach Conjecture up to 8.875e30
H. A. Helfgott, David J. Platt
We describe a computation that confirms the ternary Goldbach Conjecture up to 8,875,694,145,621,773,516,800,000,000,000 (>8.875e30).