03259oam 2200685I 450 991077895700332120230802004329.00-429-06761-51-283-59620-297866139086501-4665-0193-610.1201/b11315 (CKB)2550000000079197(EBL)830246(OCoLC)773034262(SSID)ssj0000581416(PQKBManifestationID)11370656(PQKBTitleCode)TC0000581416(PQKBWorkID)10531248(PQKB)10632004(MiAaPQ)EBC830246(Au-PeEL)EBL830246(CaPaEBR)ebr10522560(CaONFJC)MIL390865(EXLCZ)99255000000007919720180331d2012 uy 0engur|n|---|||||txtccrLectures on N_X (p) /Jean-Pierre SerreBoca Raton, Fla. :CRC Press,2012.1 online resource (168 p.)Research notes in mathematics ;v. 11An AK Peters book.1-4665-0192-8 Includes bibliographical references.Front Cover; Contents; Preface; Conventions; Chapter 1. Introduction; Chapter 2. Examples; Chapter 3. The Chebotarev Density Theorem for a Number Field; Chapter 4. Review of l-adic Cohomology; Chapter 5. Auxiliary Results on Group Representations; Chapter 6. The l-adic Properties of NX(p); Chapter 7. The Archimedean Properties of NX(p); Chapter 8. The Sato-Tate Conjecture; Chapter 9. Higher Dimension: the Prime Number Theorem and the Chebotarev Density Theorem; ReferencesThis book presents several basic techniques in algebraic geometry, group representations, number theory, -adic and standard cohomology, and modular forms. It explores how NX(p) varies with p when the family (X) of polynomial equations is fixed. The text examines the size and congruence properties of NX(p) and describes the ways in which it is computed. Along with covering open problems and offering simple, illustrative examples, the author presents various theorems, including the Chebotarev density theorem and the prime number theorem--Provided by publisher.The main topic involves counting solutions mod p of a system of polynomial equations, as p varies. The book is based on a series of lectures presented by the author in Taiwan. Using this idea, Serre visits algebra and number theory and asks some non-standard questions, especially on group representations--Provided by publisher.Research notes in mathematics ;11.PolynomialsNumber theoryRepresentations of groupsCohomology operationsPolynomials.Number theory.Representations of groups.Cohomology operations.512.9/422MAT022000bisacshSerre Jean-Pierre1926,1511757MiAaPQMiAaPQMiAaPQBOOK9910778957003321Lectures on N_X (p)3745281UNINA03039oam 2200565I 450 991015459060332120230808200622.01-315-26191-X(CKB)3710000000965258(MiAaPQ)EBC4758923(OCoLC)979423779(OCoLC-P)979423779(FlBoTFG)9781315261911(BIP)61809983(BIP)1919322(EXLCZ)99371000000096525820170327h20161995 uy 0engur|||||||||||rdacontentrdamediardacarrierAuthors of the Middle AgesVolume II, Nos. 5-6 /general editor: Patrick J. GearyAbingdon, Oxon ;New York :Routledge, Taylor & Francis Group,2016.©19951 online resource (191 pages)Authors of the Middle ages ;volume II, numbers 5-6Reprint. Originally published: Ashgate Pub. Co., 1995.0-86078-488-6 1-351-95648-5 Includes bibliographical references.No. 5.Peter Abelard /by Constant J. Mews --No. 6.Honorius Augustodunensis /by V.I.J. Flint.Volume II of the AUTHORS OF THE MIDDLE AGES series contains nos. 5-6 in the series: 'Peter Abelard' by Constant J. Mews and 'Honorius Augustodunensis' by V.I.J. Flint. PETER ABELARD (1079-1142) was one of the most creative and controversial thinkers of the 12th century. This study traces his life as a logician and theologian, paying particular attention to the many scholarly debates provoked by the Historia calamitatum and the celebrated exchange of letters with Heloise. It contains a full survey of his writings, listing the manuscripts in which they occur. HONORIUS AUGUSTODUNENSIS, c. 1098-c. 1140, one of the most prolific and widely read authors of the early 12th century, was a passionate proselytiser on behalf of the Benedictines. This study sets out the extraordinary features of his career and the nature of the battle he fought through his writings. Few of his works have appeared in modern editions, this study gives short accounts of each and their manuscripts.Authors of the Middle Ages ;2, nos. 5-6.Latin literature, Medieval and modernHistory and criticismChristian literature, Latin (Medieval and modern)History and criticismHistoriographyHistoryTo 1500Latin literature, Medieval and modernHistory and criticism.Christian literature, Latin (Medieval and modern)History and criticism.HistoriographyHistory820.9001Mews C. J286384Flint Valerie I. J(Valerie Irene Jane),1936-2009.163467Geary Patrick J.1948-OCoLC-POCoLC-PBOOK9910154590603321Authors of the Middle Ages2099659UNINA