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[null,"1.","Record Nr.",null,"UNINA9910962078403321"]
[null,null,"Autore",null,"Serre Jean-Pierre <1926, >"]
[null,null,"Titolo",null,"Lectures on N_X (p) / / Jean-Pierre Serre"]
[null,null,"Pubbl/distr/stampa",null,"Boca Raton, Fla., : CRC Press, c2012"]
[{"$nulls":4},"Boca Raton, Fla. : , : CRC Press, , 2012"]
[null,null,"ISBN",null,"9786613908650"]
[{"$nulls":4},"9781040188101"]
[{"$nulls":4},"1040188109"]
[{"$nulls":4},"9780429067617"]
[{"$nulls":4},"0429067615"]
[{"$nulls":4},"9781283596206"]
[{"$nulls":4},"1283596202"]
[{"$nulls":4},"9781466501935"]
[{"$nulls":4},"1466501936"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (168 p.)"]
[null,null,"Collana",null,"Research notes in mathematics ; ; v. 11"]
[null,null,"Classificazione",null,"MAT022000"]
[null,null,"Disciplina",null,"512.9/422"]
[null,null,"Soggetti",null,"Polynomials"]
[{"$nulls":4},"Number theory"]
[{"$nulls":4},"Representations of groups"]
[{"$nulls":4},"Cohomology operations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","An AK Peters book."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"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; References"]
[null,null,null,"Sommario/riassunto","This 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 "]
[{"$nulls":4},"which it is computed. Along with covering open problems and offering simple, illustrative examples, the author presents various theorems, including the Chebotarev density theorem and the prime number theorem--"]
[{"$nulls":4},"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--"]