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Exploring the Riemann Zeta function1...

Montgomery, Hugh.

Exploring the Riemann Zeta function190 years from Riemann's birth /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Exploring the Riemann Zeta functionedited by Hugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias.
其他題名:	190 years from Riemann's birth /
其他作者:	Montgomery, Hugh.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	x, 298 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Riemann hypothesis.
電子資源:	http://dx.doi.org/10.1007/978-3-319-59969-4
ISBN:	9783319599694$q(electronic bk.)

Exploring the Riemann Zeta function190 years from Riemann's birth /
Exploring the Riemann Zeta function190 years from Riemann's birth /[electronic resource] :edited by Hugh Montgomery, Ashkan Nikeghbali, Michael Th. Rassias. - Cham :Springer International Publishing :2017. - x, 298 p. :ill., digital ;24 cm.

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. Rohrlichll)

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.

ISBN: 9783319599694$q(electronic bk.)

Standard No.: 10.1007/978-3-319-59969-4doiSubjects--Topical Terms:

792973
Riemann hypothesis.

LC Class. No.: QA246

Dewey Class. No.: 512.73

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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. Rohrlichll)
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.
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650 0 $a Functions, Zeta. $3 239610
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650 2 4 $a Number Theory. $3 274059
650 2 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Functions of a Complex Variable. $3 275780
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Difference and Functional Equations. $3 274826
650 2 4 $a Abstract Harmonic Analysis. $3 274074
700 1 $a Montgomery, Hugh. $3 792972
700 1 $a Nikeghbali, Ashkan. $3 764493
700 1 $a Rassias, Michael Th. $3 509927
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950 $a Mathematics and Statistics (Springer-11649)