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260424s2026 us a 000 0 eng d
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▼a 9783032030344
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▼a 243002
▼c 243002
▼d 243002 -
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▼a 512.7
▼b S713f -
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▼a Sorensen, Claus
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245
▼a From Classical L-Functions to Modern Reciprocity Laws /
▼d by Claus Sorensen -
260
▼a Cham :
▼b Springer ,
▼c 2026 -
300
▼a 350 p.:
▼b ill;
▼c 24 cm -
440
▼a Graduate Texts in Mathematics, 2197-5612 ;
▼v 307 -
502
▼a Preface -- 1 Classical zeta and L-functions -- 2 Tate's thesis -- 3 Hecke characters versus Galois characters -- 4 Artin L-functions -- A streamlined introduction to modular forms -- 6. Galois representations attached to weight one forms -- Appendix A Some background material -- References.
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520
▼a The distinctive compilation of topics in this text provides readers with a smooth and leisurely transition from basic number theory to graduate topics courses on the Langlands program. It is a unique and self-contained resource for number theorists, instructors teaching basic analytic number theory, and the target readership of first and second year graduate students interested in number theory. Portions of the content are also accessible to mathematically mature advanced undergraduates. The copious number of exercises and examples throughout the text, aptly guide the reader. The prerequisite for using the book is a grounded understanding of number fields and local fields. The book is well designed in its aims to build a bridge from beginning number theory topics to modern, advanced ones. Starting from scratch with the classical theory (Riemann's zeta function, Dirichlet L-functions, Dedekind zeta functions) it merges into a detailed account of Artin L-functions, Tate's thesis, and culminates in a discussion of the Deligne-Serre theorem and related results. These topics have not appeared together in book form.
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▼b ￦112900
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▼a A081830
▼b A078805
▼b A078805 -
991
▼a 단행본
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상세정보
From Classical L-Functions to Modern Reciprocity Laws
QR코드| 자료유형 : | 단행본 |
|---|---|
| ISBN : | 9783032030344 |
| 분류기호 : | 512.7 |
| 개인저자 : | Sorensen, Claus |
| 서명/저자사항 : | From Classical L-Functions to Modern Reciprocity Laws / by Claus Sorensen |
| 발행사항 : | Cham : Springer , 2026 |
| 형태사항 : | 350 p.: ill; 24 cm |
| 총서사항 : | Graduate Texts in Mathematics, 2197-5612 ; 307 |
| 학위논문주기 : | Preface -- 1 Classical zeta and L-functions -- 2 Tate's thesis -- 3 Hecke characters versus Galois characters -- 4 Artin L-functions -- A streamlined introduction to modular forms -- 6. Galois representations attached to weight one forms -- Appendix A Some background material -- References. |
| 요약 : | The distinctive compilation of topics in this text provides readers with a smooth and leisurely transition from basic number theory to graduate topics courses on the Langlands program. It is a unique and self-contained resource for number theorists, instructors teaching basic analytic number theory, and the target readership of first and second year graduate students interested in number theory. Portions of the content are also accessible to mathematically mature advanced undergraduates. The copious number of exercises and examples throughout the text, aptly guide the reader. The prerequisite for using the book is a grounded understanding of number fields and local fields. The book is well designed in its aims to build a bridge from beginning number theory topics to modern, advanced ones. Starting from scratch with the classical theory (Riemann's zeta function, Dirichlet L-functions, Dedekind zeta functions) it merges into a detailed account of Artin L-functions, Tate's thesis, and culminates in a discussion of the Deligne-Serre theorem and related results. These topics have not appeared together in book form. |
| 언어 | 영어 |
예약
- 1. 예약현황은 홈페이지 로그인 후 예약 페이지에 확인 가능합니다.
- 2. 도착 통보된 예약자료 대출을 원하지 않는 경우에는 예약 현황에서 취소할 수 있습니다.
- 3. 기타 문의사항은 도서관에 문의 바랍니다.
무인예약대출
- 1. 무인예약대출 현황은 홈페이지 로그인 후 무인예약대출 페이지에 확인 가능합니다.
- 2. 무인예약대출자료 대출을 원하지 않는 경우에는 무인예약대출 페이지에서 신청 또는 접수상태인 경우만 취소할 수 있습니다.
- 3. 희망대출일은 신청일로부터 최대 1주일 까지 가능합니다.
- 4. 희망대출일을 선택하지 않은 경우 대출대기 통보 후 1주일까지 기기에서 대출가능합니다.
- 5. 기타 문의사항은 도서관에 문의 바랍니다.
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