algebraic number theory on Understanding the Riemann Hypothesis https://riemannhypothesis.blog/tags/algebraic-number-theory/ Recent content in algebraic number theory on Understanding the Riemann Hypothesis Hugo -- gohugo.io en markus@recommend.games (Markus Shepherd) markus@recommend.games (Markus Shepherd) Fri, 05 Aug 2016 15:38:11 +0000 Primes from a Different World https://riemannhypothesis.blog/2016/08/primes-from-a-different-world/ Fri, 05 Aug 2016 15:38:11 +0000markus@recommend.games (Markus Shepherd) https://riemannhypothesis.blog/2016/08/primes-from-a-different-world/ Every textbook on number theory will begin with a treatise on prime numbers; every treatise on prime numbers will begin by emphasising their importance as building blocks or atoms of our number system: every integer can be expressed as a product of prime numbers in one way and one way only. Six is two times three and there is no other way to decompose it.1 Euclid proved this over two thousand years ago and it is so fundamental (hence the name fundamental theorem of arithmetic) to our thinking about numbers that we take it for granted.