Titlebook: Excursions in Multiplicative Number Theory; Olivier Ramaré Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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https://doi.org/10.1007/978-981-19-8828-8In this chapter, we prove pointwise upper bounds for the values of arithmetic functions. This question is crucial to evaluate the abscissa of convergence of a series.

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Realism as a Philosophy of Mathematics,This chapter is combinatorial and rather rewarding: we are going to present three procedures that yield interesting formulas in a rather magical way.

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beta-cells

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Foundations of Microsoft Expression WebWe detail four examples in this chapter and provide a wide-ranging ready-made result. The way most of this chapter is written differs rather seriously from the prevailing one in the previous chapters: we essentially enunciate things and expect the readers to complete the proofs.

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Anna-Teresa Tymieniecka,Calvin O. SchragWe need estimates for the number of primes in the initial interval. Such estimates are long known. Efforts to make them explicit started in the thirties, see, for instance, the papers [.] by R. Breusch, Robert and [.] by J.B. Rosser.

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