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Showing 1 to 4 of 4 for “"Multiplicative Functions"”.
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Topics in the Theory of Q-Additive and Q-Multiplicative Functions
In Part III, we present some numerical data on the joint distribution problem studied in Part II. The calculations were performed using the MATHEMATICA software program.
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Sums of Multiplicative Functions Over Integers Without Large Prime Factors and Related Differential Difference Equations
… 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 in terms …
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Topics in Multiplicative and Probabilistic Number Theory
… integers cannot simultaneously be additively and multiplicatively structured. The practical verification of this heuristic is the source of a great number of difficult problems, including the well-known Hardy-Littlewood tuples conjecture. Conjectures of this type are also at least morally …
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Topics in explicit number theory
… of the Riemann zeta function and Dedekind zeta functions, which improve previous results of Trudgian. This improvement is based on ideas from previous works of Bennett et al., Kadiri and Ng and Trudgian. This is a joint work with Quanli Shen and Peng-Jie Wong. In Chapter 4, we apply explicit …