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math.NT2026
The exceptional set of the Goldbach problem
Gautami Bhowmik, Lasse Grimmelt
We study the estimates for the number of exceptions to the representation of integers as the sum of at most two prime numbers. Most of this article is a survey that gives an overvi…
math.NT2026
Random linear configurations in dense sets and primes
Lasse Grimmelt, Joni Teräväinen
We prove that every polylogarithmically dense subset of contains a nontrivial configuration for almost all choices of the coefficient vector $(b_1,\ldo…