The Mirror at One-Half Posted by Nikitas Sotiropoulos on September 27, 2026 Uniform Asymptotics Zero-Free Regions Zeta Function +
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 +
How a Lemniscate Became an Elliptic Curve Posted by Nikitas Sotiropoulos on August 27, 2026 Elliptic Curves The lemniscate of Bernoulli +
From Archimedes to Infinity Posted by Nikitas Sotiropoulos on August 19, 2026 Archimedes Circles Ellipses Elliptic Integrals Ramanujan +
Deriving the Meissel–Mertens Constant Posted by Nikitas Sotiropoulos on July 16, 2026 Meissel–Mertens constant Möbius Inversion Zeta Function +
The Sum That Needs More Than the Universe Can Count Posted by Nikitas Sotiropoulos on July 10, 2026 Meissel–Mertens constant Reciprocals of Primes The observable universe +
A Small Taste from My New Book — Episode Guide and Index Posted by Nikitas Sotiropoulos on May 16, 2026 Analytic number theory asymptotics Complex Analysis Contour integration episode guide mathematical insights Riemann zeta special functions Transform methods +
A Small Taste from My New Book: Season 2 Episode 12 Posted by Nikitas Sotiropoulos on May 10, 2026 The Geometry Behind the Airy Function Where Complex Analysis Reveals Its Power +
A Small Taste from My New Book: Season 2 Episode 11 Posted by Nikitas Sotiropoulos on May 02, 2026 Airy functions The Airy Integral +
A Small Taste from My New Book: Season 2 Episode 10 Posted by Nikitas Sotiropoulos on April 25, 2026 Complex Plane Applications Laplace’s method Steepest descent +