Notes
Slide Show
Outline
1
 
2
Hypergeometric Zeta Functions
3
 
4
Why Hypergeometric Zeta Function?
5
Lemma (N = 2)
6
Proof of (a)
7
Proof of (b)
8
Analytic Continuation to Re(s) < 1
9
Functional Equation
10
Towards FE for Hypergeometric Zeta:
11
 
12
Functional Inequality Theorem (N = 2)
13
Proof of Functional Inequality Theorem:
14
Generalized Bernoulli Numbers
15
A Theorem
16
Hypergeometric Zeta Values at Negative Integers
17
Special Values
18
Hypergeometric Zeta (s < 0)
19
Zeta Values at Negative Integers
20
Residues
21
A Bound for Generalized Bernoulli Numbers
22
Howard’s Conjecture
23
Continuous N
24
The Roots of
25
 
26
 
27