Research Expeditions
Each expedition is a self-contained investigation into a different mathematical representation or approach to understanding prime numbers and the Riemann zeta function.
Current Expeditions
Expedition 1: The Polar Landscape of Zeta Zeros
Exploring amplitude and phase patterns of zeros. How does the representation in polar coordinates reveal hidden structure?
Explore this expedition →Expedition 2: Real vs Imaginary Crossings
Analyzing how the real and imaginary components of ζ(s) cross zero independently versus simultaneously.
Explore this expedition →Expedition 3: The Multiplicative Forest
Visualizing the factor tree structure of integers and connecting prime "reappearance" patterns to zeta zeros.
Explore this expedition →Expedition 4: The Logarithmic Decomposition
How ln(ζ(s)) separates primes from prime powers, and what this reveals about zero locations.
Explore this expedition →Future Expeditions
Ideas we're considering for future investigation:
View future expedition ideas →