2 papers
math.NT2026
On the Sum of a Prime and a Number that is not Square-Free
Ethan S. Lee, Rowan O'Clarey
We prove that every sufficiently large integer can be written as the sum of a prime and an integer that is not square-free. In addition, we expect this result holds for every $…
math.NT2023
The prime number theorem for primes in arithmetic progressions at large values
Ethan S. Lee
Assuming the Riemann hypothesis, we prove the latest explicit version of the prime number theorem for short intervals. Using this result, and assuming the generalised Riemann hypot…