On the Asymptotics to All Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function.

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Title page
Part 1. Asymptotics to all Orders of the Riemann Zeta Function
Chapter 1. Introduction
1.1. The large asymptotics of ( ) valid to all orders
1.2. The explicit form of certain sums
1.3. The explicit form of the difference of certain sums
1.4. Asymptotics of a two-parameter generalization of Riemann's zeta function
1.5. Fourier coefficients of the product of two Hurwitz zeta functions
1.6. Several representations for the basic sum
Chapter 2. An Exact Representation for ( )
Chapter 3. The Asymptotics of the Riemann Zeta Function for ≤ <
∞
Chapter 4. The Asymptotics of the Riemann Zeta Function for 0<
<

Chapter 5. Consequences of the Asymptotic Formulae
Part 2. Asymptotics to all Orders of a Two-Parameter Generalization of the Riemann Zeta Function
Chapter 6. An Exact Representation for Φ( , , )
Chapter 7. The Asymptotics of Φ( , , )
Chapter 8. More Explicit Asymptotics of Φ( , , )
Chapter 9. Fourier coefficients of the product of two Hurwitz zeta functions
9.1. Corollaries
9.2. Asymptotics of the zeroth Fourier coefficient
9.3. Proof of Theorem 9.1
9.4. Proof of Theorem 9.2
9.5. Fourier coefficients of ( , ) and ₁( , )
Part 3. Representations for the Basic Sum
Chapter 10. Several Representations for the Basic Sum
Appendix A. The Asymptotics of Γ(1- ) and ( )
Appendix B. Numerical Verifications
B.1. Verification of Theorem 3.1
B.2. Verification of Theorem 3.2
B.3. Verification of Theorem 4.1
B.4. Verification of Corollary 4.3
B.5. Verification of Theorem 4.4
Bibliography
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