Fermat's Last Theorem

Lodovico Ferrari was born on February 2, 1522. His father died when he was very young so he lived with his uncle Vincent Ferrari. The math...

Girolamo Cardano's father Fazio Cardano, a lawyer by profession, had a deep interest in mathematics. He had developed a reputation as a...

Unfortunately, there are many details missing from our knowledge about Abu Ja'far Muhammad ibn Musa Al-Khwarizmi. He was born around 780...

To move ahead on the Kummer Class Formula, it is necessary to delve into Dirichlet Characters and L-Functions. Properly appreciating these...

In the next series of blogs, I will show how the Kummer Class Formula is derived from the zeta function for cyclotomic integers . In a prev...

To get to the Kummer class formula, it is necessary to establish a zeta function for cyclotomic integers : where A ranges over the set of ...

Before beginning the derivation of Kummer's class formula for cyclotomic integers , it is necessary to review one important property fro...

To move ahead on Kummer's class number formula for ideal numbers, it is necessary to review the proof for the convergence of Euler's...

Bernhard Riemann was born in the Kingdom of Hanover (now, Germany) on September 17, 1826. He was the second of six children. He was home s...

Leonhard Euler used the Bernoulli numbers to generalize his solution to the Basel Problem . This is the problem that put Euler on the map m...