3. Method for Generating Gap Functions of Second Degree - Page 105
4. Gap Functions of Third Degree - Page 107
5 Gap Functions of Forth Degree - Page 112
6 Riemann Theta Functions for Natural Numbers - Page 113
6 Gap Sequences Generation in the Complex Domain - Page 119
1. Roots of Unity - Page 121
2. Simple Periodic Complex Functions - Page 122
3. Generating Primes in the Complex Domain - Page 124
7 A Topological View - Page 133
1. A Very Interesting Property of the Hypocycloids - Page 135
2. Doubling the Cube - Page 137
3. Eratosthenes’ Construction - Page 140
4. From Archytas Construction to Abelian Functions - Page 142
5. A Topological View of the Conical Sections - Page 156
8 Prime Numbers and Topology - Page 159
1. Eratosthenes’s Sieve on a Riemann’s Surface of Genus g - Page 161
2. Closed Lines on the Archytas’ Torus - Page 173
3. The Complex Logarithm - Page 182
9 Möbius Functions - Page 185
1. Möbius Function vs Liouville Function - Page 187
2. Möbius Functions - Page 191
3. Möbius Patterns - Page 205
4. Probability that a Number is Square Free - Page 215
10 Riemann’s Theta Function for s=1/2 - Page 217
1. An Interesting Function - Page 219
2. Pascal’s Triangle - Page 227
3. Leibnitz Harmonic Triangle - Page 233
4. Riemann’s Theta Function for s = ½ - Page 237
5. The Meaning of ζ(1/2) - Page 240
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