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Three Arithmetical Exponential Sums

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Excursions in Multiplicative Number Theory

Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher ((BAT))

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Abstract

In this chapter, we study three (linear) exponential sums, i.e. for us, sums of the shape.

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Notes

  1. 1.

    Though A. de Moivre already knew this formula at least in 1718, and Euler gave a rigorous proof in 1765, this formula is attributed to J.P.M. Binet who published it in 1843 in [2, p. 563]. It seems that the date 1834 that one sees often on the web is due to some slippery fingers who wanted to participate to this joyous historical confusion.

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  1. Institut de Mathématiques de Marseille, CNRS / Aix-Marseille University, Marseille, Bouches du Rhône, France

    Olivier Ramaré

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Ramaré, O. (2022). Three Arithmetical Exponential Sums. In: Excursions in Multiplicative Number Theory. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-73169-4_26

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