LEADER 02695nam a2200481 i 4500 001 991003636349707536 006 m o d 007 cr |n||||||||| 008 190409s2018 sz ob 001 0 eng d 020 $a3319990675$q(electronic bk.) 020 $a9783319990675$q(electronic bk.) 020 $z3319990667 020 $z9783319990668 024 7 $a10.1007/978-3-319-99067-5$2doi 035 $ab14363926-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a510.9$223 084 $aAMS 11M26 084 $aAMS 01A60 084 $aAMS 11R58 084 $aAMS 14H05 084 $aLC QA3.L28 100 1 $aRoquette, Peter$058278 245 14$aThe Riemann hypothesis in characteristic p in historical perspective$h[e-book] /$cPeter Roquette 264 1$aCham :$bSpringer,$c2018 300 $a1 online resource (ix, 235 p. 15 illus.) 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 490 1 $aLecture notes in mathematics,$x2193-1771 ;$v2222 504 $aIncludes bibliographical references and index 505 0 $aPreface -- 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 520 $aThis book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Göttingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields 650 0$aNumber theory 650 0$aRiemann hypothesis 650 0$aCharacteristic functions 650 0$aAlgebraic fields 856 40$uhttp://link.springer.com/10.1007/978-3-319-99067-5$zAn electronic book accessible through the World Wide Web 907 $a.b14363926$b03-03-22$c09-04-19 912 $a991003636349707536 996 $aRiemann hypothesis in characteristic p in historical perspective$91749892 997 $aUNISALENTO 998 $ale013$b09-04-19$cm$d@ $e-$feng$gsz $h4$i0 LEADER 03709nam 22006375 450 001 9910165145903321 005 20251113204330.0 010 $a3-319-50367-7 024 7 $a10.1007/978-3-319-50367-7 035 $a(CKB)3710000001065075 035 $a(DE-He213)978-3-319-50367-7 035 $a(MiAaPQ)EBC4834763 035 $a(EXLCZ)993710000001065075 100 $a20170217d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMacro Innovation Dynamics and the Golden Age $eNew Insights into Schumpeterian Dynamics, Inequality and Economic Growth /$fby Paul J. J. Welfens 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XVII, 148 p. 24 illus., 8 illus. in color.) 311 08$a3-319-50366-9 327 $aGreen Innovations and CO2 in a Growth Perspective: A Neoclassical Model -- Innovation, Inequality and a Golden Rule for Growth in an Economy with R&D -- Technological Progress, Output Elasticity, FDI and Growth Cycles -- Product Innovations in a Schumpeterian Mundell-Fleming Model -- Schumpeterian Macroeconomic Production Function for Open Economies. 330 $aThis book takes a new look at the golden age in neoclassical growth theory and explores in detail sustainability and optimum growth in China, the US and Europe. Innovation, foreign direct investment, trade and growth dynamics are key elements in modern economies ? including perspectives on green growth and aspects of the knowledge production function in the context of multinational companies. As such the book considers the role of foreign direct investment in a modified growth model and discusses innovation in an enhanced Mundell-Fleming macro model. Moreover, for the first time it directly links a knowledge production function to the macro production function in a broader context, including real money balances in the production function. It shows ? also with empirical relevance ? that FDI inward stocks relative to the GDP of host countries, the number of researchers and per capita income are relevant drivers of new knowledge and the stock of knowledge, respectively. This new Schumpeterian theoretical approach lends itself to important policy conclusions for both OECD members and newly industrialized countries. 606 $aMacroeconomics 606 $aEconomic development 606 $aEvolutionary economics 606 $aInstitutional economics 606 $aInternational economic relations 606 $aAsia$xEconomic conditions 606 $aMacroeconomics and Monetary Economics 606 $aEconomic Growth 606 $aInstitutional and Evolutionary Economics 606 $aEconomic Development, Innovation and Growth 606 $aInternational Economics 606 $aAsian Economics 615 0$aMacroeconomics. 615 0$aEconomic development. 615 0$aEvolutionary economics. 615 0$aInstitutional economics. 615 0$aInternational economic relations. 615 0$aAsia$xEconomic conditions. 615 14$aMacroeconomics and Monetary Economics. 615 24$aEconomic Growth. 615 24$aInstitutional and Evolutionary Economics. 615 24$aEconomic Development, Innovation and Growth. 615 24$aInternational Economics. 615 24$aAsian Economics. 676 $a339 700 $aWelfens$b Paul J. J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0630185 906 $aBOOK 912 $a9910165145903321 996 $aMacro Innovation Dynamics and the Golden Age$91997361 997 $aUNINA LEADER 02240nas 2200637-a 450 001 9910895762903321 005 20260218110704.0 011 $a1810-536X 035 $a(DE-599)ZDB2131996-0 035 $a(CKB)110978977742715 035 $a(CONSER)---77613436- 035 $a(DE-599)2131996-0 035 $a(EXLCZ)99110978977742715 100 $a20760513a19699999 --- b 101 0 $ager 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aJahrbuch der österreichischen Byzantinistik 210 $aWien $cVerlag der Österreichischen Akademie der Wissenschaften 215 $a1 online resource 300 $aSome issues have also distinctive titles. 311 08$aPrint version: Jahrbuch der österreichischen Byzantinistik. 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