Primes rule the border: Why ζ(s) refuses to hit zero at Re(s)=1 Posted by Nikitas Sotiropoulos on September 17, 2026 Dirichlet series divisor functions Möbius Function No roots on the border Zeta Function +
A Small Taste from My New Book: Episode 2 Posted by Nikitas Sotiropoulos on November 30, 2025 Analytic number theory Bessel Functions Cauchy Theorem Complex Analysis Unveiled Contour Deformation Contour integration Gamma function Laplace transform Residue Calculus Transform Toolkit +
A Small Taste from My New Book Posted by Nikitas Sotiropoulos on November 24, 2025 Analytic continuation Complex Analysis Contour integration Gamma function Hankel contour Keyhole contour Laplace inversion Laplace transform Residue theorem +
From Primes to Pitch: Turning Mertens Oscillations Into Sound Posted by Nikitas Sotiropoulos on November 21, 2025 Audio synthesis C++ FFT Mathematics Mertens Function Number theory Prime numbers Signal processing Sonification Spectral analysis The Essential Transform Toolkit Transforms +
The Hidden Oscillations Behind Prime Numbers: Mertens Function Revealed Posted by Nikitas Sotiropoulos on November 14, 2025 Analytic number theory Computational mathematics Mathematical Conjectures Mathematical Mysteries Mertens Function Möbius Function Number theory Oscillatory Functions Prime numbers Riemann Hypothesis +