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math.NT2022
Explicit upper bounds for the number of primes simultaneously representable by any set of irreducible polynomials
Matteo Bordignon, Ethan Simpson Lee
Using an explicit version of Selberg's upper sieve, we obtain explicit upper bounds for the number of such that a non-empty set of irreducible polynomials with i…
math.NT2022★ 1 cited
An explicit version of Chen's theorem assuming the Generalized Riemann Hypothesis
Matteo Bordignon, Valeriia Starichkova
We prove that assuming the Generalized Riemann Hypothesis every even integer larger than can be written as the sum of a prime number and a number that has at mo…
math.NT2022
An explicit version of Chen's theorem and the linear sieve
Matteo Bordignon, Daniel R. Johnston, Valeriia Starichkova
Drawing inspiration from the work of Nathanson and Yamada we prove that every even integer larger than can be written as the sum of a prime and the product of…