2 papers
math.NT2025
Sárközy's theorem for shifted primes with restricted digits
Alex Burgin
We study recurrence along shifted primes with restricted digits. By constructing a local approximant to the associated exponential sums, we prove the van der Corput property for sh…
math.NT2025
A New Elementary Proof of Landau's Prime Ideal Theorem, and Associated Results
Alex Burgin
We give a new elementary proof of Landau's Prime Ideal Theorem. The proof is an extension of Richter's proof of the Prime Number Theorem. The main result contains other results rel…