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On the Asymptotics to all Orders of the Riemann Zeta Function and of a TwoParameter Generalization of the Riemann Zeta Function
Softcover ISBN:  9781470450984 
Product Code:  MEMO/275/1351 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
eBook ISBN:  9781470470173 
Product Code:  MEMO/275/1351.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Softcover ISBN:  9781470450984 
eBook: ISBN:  9781470470173 
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 TwoParameter Generalization of the Riemann Zeta Function
Softcover ISBN:  9781470450984 
Product Code:  MEMO/275/1351 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
eBook ISBN:  9781470470173 
Product Code:  MEMO/275/1351.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Softcover ISBN:  9781470450984 
eBook ISBN:  9781470470173 
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 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 275; 2022; 114 ppMSC: Primary 11; 30; Secondary 33

Table of Contents

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 TwoParameter 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 $\Gamma (1s)$ and $\chi (s)$

B. Numerical Verifications


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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 TwoParameter 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 $\Gamma (1s)$ and $\chi (s)$

B. Numerical Verifications
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