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The case of infinite Jacobi matrices was considered earlier in the papers [ 6 , 7 , 8 , 9 ] in which the generalized spectral function was introduced and the inverse problem from

In Section 2 upper and lower bounds for the n th prime-prime are derived, in Section 3 the prime-prime number theorem is proved with error bounds equivalent to that of the prime

Our main results, Theorems 1 and 2 below, determine all counting GFs of these two forms and give a unified combinatorial interpretation for them in terms of colored lattice paths..

Notice that by Theorem 2.1 all prime factors of Fermat numbers are anti-elites with L = 1, such that the Table contains all possible prime factors p of Fermat numbers that fulfill

In [7], Shiga introduced equation (1) as a model for population genetics and established a formula for product moments of U using a Markov duality function and a system of

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Key words: algebraic curvature tensor; anti-self-dual; conformal Jacobi operator; confor- mal Osserman manifold; Jacobi operator; Jacobi–Tsankov; Jacobi–Videv; mixed-Tsankov;