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Showing 1 to 4 of 4 for “"Counting Functions"”.
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Closed Range Composition Operators on BMOA
… denoted by Cφ. Reverse Carleson type conditions, counting functions and sampling sets are important tools to give a complete characterization of closed range composition operators on BMOA and on Qp for all p ∈ (0,∞). </p> <p>Let B denote the Bloch space, let H2 denote the Hardy space. We show that …
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Congruences in modular, Jacobi, Siegel, and mock modular forms with applications
… We describe the Ramanujan congruences in the counting functions for overparitions, overpartition pairs, crank differences, and Andrews' two-coloured generalized Frobenius partitions. We also study Ramanujan congruences in the Fourier coefficients of certain ratios of Eisenstein series. We also …
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Sums of Multiplicative Functions Over Integers Without Large Prime Factors and Related Differential Difference Equations
… naturally in various areas of number theory. Counting functions of such integers have been the subject of numerous past studies. Traditionally, Psi(x, y) denotes the number of positive integers up to x, all of whose prime divisors are less than or equal to y. The estimate of Psi(x, y) is given …