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Exploring the Riemann zeta function [electronic resource] : 190 years from Riemann's birth

Exploring the Riemann zeta function [electronic resource] : 190 years from Riemann's birth

Material type
E-Book(소장)
Personal Author
Montgomery, Hugh. Nikeghbali, Ashkan. Rassias, Michael Th.
Title Statement
Exploring the Riemann zeta function [electronic resource] : 190 years from Riemann's birth / Hugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias, editors.
Publication, Distribution, etc
Cham :   Springer,   c 2017.  
Physical Medium
1 online resource (x, 298 p.) : ill.
ISBN
9783319599687 9783319599694 (e-book)
요약
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.
General Note
Title from e-Book title page.  
Content Notes
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).
Bibliography, Etc. Note
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Mathematics. Riemann hypothesis. Functions, Zeta. Difference equations. Functional equations. Ergodic theory. Functions of complex variables.
주제명(개인명)
Reimann, Bernhard,   1826-1866.  
Short cut
URL
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020 ▼a 9783319599687
020 ▼a 9783319599694 (e-book)
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082 0 4 ▼a 512.7 ▼2 23
084 ▼a 512.7 ▼2 DDCK
090 ▼a 512.7
245 0 0 ▼a Exploring the Riemann zeta function ▼h [electronic resource] : ▼b 190 years from Riemann's birth / ▼c Hugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias, editors.
260 ▼a Cham : ▼b Springer, ▼c c 2017.
300 ▼a 1 online resource (x, 298 p.) : ▼b ill.
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
505 0 ▼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).
520 ▼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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
600 1 0 ▼a Reimann, Bernhard, ▼d 1826-1866.
650 0 ▼a Mathematics.
650 0 ▼a Riemann hypothesis.
650 0 ▼a Functions, Zeta.
650 0 ▼a Difference equations.
650 0 ▼a Functional equations.
650 0 ▼a Ergodic theory.
650 0 ▼a Functions of complex variables.
700 1 ▼a Montgomery, Hugh.
700 1 ▼a Nikeghbali, Ashkan.
700 1 ▼a Rassias, Michael Th.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-3-319-59969-4
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.7 Accession No. E14015638 Availability Loan can not(reference room) Due Date Make a Reservation Service M

Contents information

Table of Contents

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).

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