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Part of the book series: Lecture Notes in Mathematics ((HISTORYMS,volume 2222))

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Abstract

Mathematics is, on the one hand, a cumulative science. Once a mathematical theorem has been proved to be true then it remains true forever: it is added to the stock of mathematical discoveries which has piled up through the centuries and it can be used to proceed still further in our pursuit of knowledge.

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Notes

  1. 1.

    And not only of mathematics.

  2. 2.

    See formulas (3.15b) and (3.16b) in Sect. 3.2.2.

  3. 3.

    Here and in the following I am using the abbreviation “RHp” for “Riemann Hypothesis in function fields of characteristic p ”.

  4. 4.

    Today the reviews in this journal are incorporated in the database of “zbMATH”.

  5. 5.

    Most mathematicians which are mentioned in this book have a biographic article in “Wikipedia” or in “Mac Tutor History of Mathematics Archive” or in other openly accessible places; hence I believe it is not necessary here to always include biographical information—except in a few cases when some such information may be of interest in the present context.

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Roquette, P. (2018). Overture. In: The Riemann Hypothesis in Characteristic p in Historical Perspective. Lecture Notes in Mathematics(), vol 2222. Springer, Cham. https://doi.org/10.1007/978-3-319-99067-5_1

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