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00000 am c2200205 c 4500
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000001258121
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20180907084401
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180515s2017 sz a a eng
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▼a 9783319599687:
▼c US$119 -
040
▼a 211047
▼c 211047
▼d 211047 -
245
▼a Exploring the Riemann Zeta function|h[electronic resource]:
▼b 190 years from Riemann's birth/
▼d cHugh Montgomery,
▼e Ashkan Nikeghbali,
▼e Michael Th. Rassias, editors. -
260
▼a Cham:
▼b Springer International Publishing,
▼c 2017. -
300
▼a X, 298 p.:
▼b ill.;
▼c 25 cm. -
500
▼a preface by freeman J. Dyson
-
500
▼a This book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis and Probability Theory. Eminent experts in the field illustrate both old and new results towards the solution of long-standing problems and include key historical remarks. Offering a unified, self-contained treatment of broad and deep areas of research, this book will be an excellent tool for researchers and graduate students working in Mathematics, Mathematical Physics, Engineering and Cryptography.
-
505
▼a Preface (Dyson) -- 1. An introduction to Riemann's life, his mathematics, and his work on the zeta function (R. Baker) -- 2. Ramanujan's formula for zeta (2n+1) (B.C. Berndt, A. Straub) -- 3. Towards a fractal cohomology: Spectra of Polya-Hilbert operators, regularized determinants, and Riemann zeros (T. Cobler, M.L. Lapidus) -- The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 4. The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 5. Arthur's truncated Eisenstein series for SL(2,Z) and the Riemann Zeta Function, A Survey (D. Goldfield) -- 6. On a Cubic moment of Hardy's function with a shift (A. Ivic) -- 7. Some analogues of pair correlation of Zeta Zeros (Y. Karabulut, C.Y. Yıldırım) -- 8. Bagchi's Theorem for families of automorphic forms (E. Kowalski) -- 9. The Liouville function and the Riemann hypothesis (M.J. Mossinghoff, T.S. Trudgian) -- 10. Explorations in the theory of partition zeta functions (K. Ono, L. Rolen, R. Schneider) -- 11. Reading Riemann (S.J. Patterson) -- 12. A Taniyama product for the Riemann zeta function (D.E. Rohrlichłł).
-
650
▼a Riemann hypothesis.
-
650
▼a Functions, Zeta.
-
700
▼a Montgomery, Hugh
-
700
▼a Nikeghbali, Ashkan
-
700
▼a Rassias, Michael Th.
-
990
▼a 김자옥
-
090
▼a 512.7
▼b M76e
-
LDR
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상세정보
Exploring the Riemann Zeta function|h[electronic resource] : 190 years from Riemann's birth
QR코드| 자료유형 : | 단행본 |
|---|---|
| ISBN : | 9783319599687: |
| 서명/저자사항 : | Exploring the Riemann Zeta function|h[electronic resource]: 190 years from Riemann's birth/ cHugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias, editors. |
| 발행사항 : | Cham: Springer International Publishing, 2017. |
| 형태사항 : | X, 298 p.: ill.; 25 cm. |
| 일반주기 : | preface by freeman J. Dyson |
| 일반주기 : | This book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis and Probability Theory. Eminent experts in the field illustrate both old and new results towards the solution of long-standing problems and include key historical remarks. Offering a unified, self-contained treatment of broad and deep areas of research, this book will be an excellent tool for researchers and graduate students working in Mathematics, Mathematical Physics, Engineering and Cryptography. |
| 내용주기 : | Preface (Dyson) -- 1. An introduction to Riemann's life, his mathematics, and his work on the zeta function (R. Baker) -- 2. Ramanujan's formula for zeta (2n+1) (B.C. Berndt, A. Straub) -- 3. Towards a fractal cohomology: Spectra of Polya-Hilbert operators, regularized determinants, and Riemann zeros (T. Cobler, M.L. Lapidus) -- The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 4. The Temptation of the Exceptional Characters (J.B. Friedlander, H. Iwaniec) -- 5. Arthur's truncated Eisenstein series for SL(2,Z) and the Riemann Zeta Function, A Survey (D. Goldfield) -- 6. On a Cubic moment of Hardy's function with a shift (A. Ivic) -- 7. Some analogues of pair correlation of Zeta Zeros (Y. Karabulut, C.Y. Yıldırım) -- 8. Bagchi's Theorem for families of automorphic forms (E. Kowalski) -- 9. The Liouville function and the Riemann hypothesis (M.J. Mossinghoff, T.S. Trudgian) -- 10. Explorations in the theory of partition zeta functions (K. Ono, L. Rolen, R. Schneider) -- 11. Reading Riemann (S.J. Patterson) -- 12. A Taniyama product for the Riemann zeta function (D.E. Rohrlichłł). |
| 일반주제명 : | Riemann hypothesis. -- |
| 일반주제명 : | Functions, Zeta. -- |
| 개인저자 : | Montgomery, Hugh |
| 개인저자 : | Nikeghbali, Ashkan |
| 개인저자 : | Rassias, Michael Th. |
| 분류기호 : | 512.7 |
| 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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