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Schinzel Hypothesis on average and rational points
Alexei N. Skorobogatov, Efthymios Sofos
We resolve Schinzel's Hypothesis (H) for of polynomials of arbitrary degree. We deduce that a positive proportion of diagonal conic bundles over with any given…
math.NT2020
Multivariate normal distribution for integral points on varieties
Daniel El-Baz, Daniel Loughran, Efthymios Sofos
Given a variety over , we study the distribution of the number of primes dividing the coordinates as we vary an integral point. Under suitable assumptions, we show that…