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On a number theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman–De Bruijn function
It is well known that getting the estimate of integral points in right-angled simplices is equivalent to getting the estimate of Dickman-De Bruijn function \psi(x,y) which is the number of positive integers \leq x and free of prime factors >y . Motivating from the Yau Geometry Conjecture, the third author …