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On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function
| Softcover ISBN: | 978-1-4704-5098-4 |
| Product Code: | MEMO/275/1351 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7017-3 |
| Product Code: | MEMO/275/1351.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5098-4 |
| eBook: ISBN: | 978-1-4704-7017-3 |
| Product Code: | MEMO/275/1351.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function
| Softcover ISBN: | 978-1-4704-5098-4 |
| Product Code: | MEMO/275/1351 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7017-3 |
| Product Code: | MEMO/275/1351.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5098-4 |
| eBook ISBN: | 978-1-4704-7017-3 |
| Product Code: | MEMO/275/1351.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 275; 2022; 114 ppMSC: Primary 11; 30; Secondary 33
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Table of Contents
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1. Asymptotics to all Orders of the Riemann Zeta Function
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1. Introduction
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2. An Exact Representation for $\zeta (s)$
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3. The Asymptotics of the Riemann Zeta Function for $t \leq \eta < \infty $
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4. The Asymptotics of the Riemann Zeta Function for $0 < \eta < t$
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5. Consequences of the Asymptotic Formulae
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2. Asymptotics to all Orders of a Two-Parameter Generalization of the Riemann Zeta Function
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6. An Exact Representation for $\Phi (u,v,\beta )$
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7. The Asymptotics of $\Phi (u,v,\beta )$
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8. More Explicit Asymptotics of $\Phi (u,v, \beta )$
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9. Fourier coefficients of the product of two Hurwitz zeta functions
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3. Representations for the Basic Sum
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10. Several Representations for the Basic Sum
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A. The Asymptotics of $\Gamma (1-s)$ and $\chi (s)$
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B. Numerical Verifications
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 275; 2022; 114 pp
MSC: Primary 11; 30; Secondary 33
-
1. Asymptotics to all Orders of the Riemann Zeta Function
-
1. Introduction
-
2. An Exact Representation for $\zeta (s)$
-
3. The Asymptotics of the Riemann Zeta Function for $t \leq \eta < \infty $
-
4. The Asymptotics of the Riemann Zeta Function for $0 < \eta < t$
-
5. Consequences of the Asymptotic Formulae
-
2. Asymptotics to all Orders of a Two-Parameter Generalization of the Riemann Zeta Function
-
6. An Exact Representation for $\Phi (u,v,\beta )$
-
7. The Asymptotics of $\Phi (u,v,\beta )$
-
8. More Explicit Asymptotics of $\Phi (u,v, \beta )$
-
9. Fourier coefficients of the product of two Hurwitz zeta functions
-
3. Representations for the Basic Sum
-
10. Several Representations for the Basic Sum
-
A. The Asymptotics of $\Gamma (1-s)$ and $\chi (s)$
-
B. Numerical Verifications
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.