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010   $a9786613908650
010   $a1-4665-0193-6
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100   $a20180331d2012      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aLectures on N_X (p) /$fJean-Pierre Serre
210  1$aBoca Raton, Fla. :$cCRC Press,$d2012.
215   $a1 online resource (168 p.)
225 1 $aResearch notes in mathematics ;$vv. 11
300   $aAn AK Peters book.
311   $a1-4665-0192-8 
320   $aIncludes bibliographical references.
327   $aFront 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; References
330   $aThis book presents several basic techniques in algebraic geometry, group representations, number theory, -adic and standard cohomology, and modular forms. It explores how NX(p) varies with p when the family (X) of polynomial equations is fixed. The text examines the size and congruence properties of NX(p) and describes the ways in which it is computed. Along with covering open problems and offering simple, illustrative examples, the author presents various theorems, including the Chebotarev density theorem and the prime number theorem--$cProvided by publisher.
330   $aThe main topic involves counting solutions mod p of a system of polynomial equations, as p varies. The book is based on a series of lectures presented by the author in Taiwan. Using this idea, Serre visits algebra and number theory and asks some non-standard questions, especially on group representations--$cProvided by publisher.
410  0$aResearch notes in mathematics ;$v11.
606   $aPolynomials
606   $aNumber theory
606   $aRepresentations of groups
606   $aCohomology operations
615  0$aPolynomials.
615  0$aNumber theory.
615  0$aRepresentations of groups.
615  0$aCohomology operations.
676   $a512.9/422
686   $aMAT022000$2bisacsh
700   $aSerre$b Jean-Pierre$f1926,$01700693
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910815503603321
996   $aLectures on N_X (p)$94083877
997   $aUNINA