A Virtual Proof

  • Peter Roquette
Part of the Lecture Notes in Mathematics book series (LNM, volume 2222)


In this chapter I would like to interrupt the historic line in order to put into evidence what I just said, namely that the proof of RHp could have been found already in 1937, in the framework of the theory of function fields. I will present here such a proof. In principle it can be regarded as a translation of Severi’s proof from the language of algebraic geometry into the language of algebra. But I will not use any knowledge of the terminology and results of algebraic geometry. I shall use those notions and facts from the theory of function fields which were available to and preferred by Hasse at the time of the Göttingen workshop which I have discussed above.


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Authors and Affiliations

  • Peter Roquette
    • 1
  1. 1.Mathematical InstituteHeidelberg UniversityHeidelbergGermany

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