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101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Riemann Hypothesis in Characteristic p in Historical Perspective$b[electronic resource] /$fby Peter Roquette
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (IX, 235 p. 15 illus.) 
225 1 $aHistory of Mathematics Subseries,$x2193-1771 ;$v2222
311   $a3-319-99066-7 
327   $a- Overture -- Setting the stage -- The Beginning: Artin?s Thesis -- Building the Foundations -- Enter Hasse. - Diophantine Congruences. - Elliptic Function Fields. - More on Elliptic Fields. - Towards Higher Genus. - A Virtual Proof. - Intermission. - A.Weil. - Appendix. - References. - Index.
330   $aThis book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Göttingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields.
410  0$aHistory of Mathematics Subseries,$x2193-1771 ;$v2222
606   $aMathematics
606   $aHistory
606   $aNumber theory
606   $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
615  0$aMathematics.
615  0$aHistory.
615  0$aNumber theory.
615 14$aHistory of Mathematical Sciences.
615 24$aNumber Theory.
676   $a512.73
700   $aRoquette$b Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut$058278
801  0$bMiAaPQ
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906   $aBOOK
912   $a996466589303316
996   $aRiemann hypothesis in characteristic p in historical perspective$91749892
997   $aUNISA