Skip to main content

One Residue at a Time

Search This Blog

Showing posts with the label Critical Strip Geometry

Posts

The Mirror at One-Half

Posted by Nikitas Sotiropoulos on September 27, 2026

Uniform Asymptotics Zero-Free Regions Zeta Function

+

Get link
Facebook
X
Pinterest
Email
Other Apps

A Small Taste from My New Book: Season 2 Episode 7

Posted by Nikitas Sotiropoulos on April 03, 2026

Big‑O Techniques Critical Strip Geometry Local Zero Analysis Zeta Logarithmic Derivative Estimates

+

Get link
Facebook
X
Pinterest
Email
Other Apps

Bluesky
Mastodon
Pinterest
Substack

Nikitas Sotiropoulos: Exploring math, code, and complex ideas.

Archive

September 20262
August 20262
July 20262
May 20263
April 20264
March 20265
February 20264
January 20263
December 20254
November 20258

Labels

Advanced Mathematics
Airy functions
Algorithms
Alternating series
Analytic continuation
Analytic number theory
Applications in Analysis and Number Theory
Archimedes
Arithmetic Geometry
Asymptotic Analysis

Show more Show less

Most Popular

Primes rule the border: Why ζ(s) refuses to hit zero at Re(s)=1

This classical result, first proved by Hadamard and de la Vallée Poussin in the course of their proofs of the Prime Number Theorem, is obtained here through a direct analysis of the Euler product and the associated prime sums.

The Mirror at One-Half

Deep within the complex plane lies a hidden axis of symmetry where the secrets of the primes reside. Across the line every point reflects into a twin, binding the zeta function in a perfect mathematical duality. Welcome to another post where arithmetic, geometry and chaos meet.

How a Lemniscate Became an Elliptic Curve

The lemniscate of Bernoulli

Report Abuse

Powered by Blogger

© 2026 Nikitas Sotiropoulos. All rights reserved.