Riemann hypothesis

Table of Contents

Introduction References & Edit History Related Topics

Images

Other than the “trivial zeros” along the negative real axis, all the solutions to the Riemann zeta function must lie in the critical strip of complex numbers whose real part is between 0 and 1. The Riemann hypothesis is that all these nontrivial zeros actually lie on the critical line, or Re(S) = 12.

Read Next

bunch of numbers

Unusual Counting Systems

number zero, 0 balloon

Is Zero an Even or an Odd Number?

Discover

An ancient egyptian hieroglyphic painted carving showing the falcon headed god Horus seated on a throne and holding a golden fly whisk. Before him are the Pharoah Seti and the goddess Isis. Interior wall of the temple to Osiris at Abydos, Egypt.

11 Egyptian Gods and Goddesses

David Cameron. President Barack Obama and Prime Minister David Cameron of the United Kingdom talk during the G8 Summit at the Lough Erne Resort in Enniskillen, Northern Ireland, June 17, 2013

What’s the Difference Between a President and a Prime Minister?

Time zone map with standard time zones and International Date Line

Why Are Some Time Zones 30 Minutes Off Instead of an Hour?

Sydney New Years Eve Fireworks

Why Does the New Year Start on January 1?

Shadow of a man holding large knife in his hand inside of some dark, spooky buiding

7 of History's Most Notorious Serial Killers

Town of Sisimiut located on the coast of the Davis Strait on Kangerluarsunnguaq Bay, Greenland

The Largest Islands in the World

Aphrodite. Greek mythology. Sculpture. Aphrodite is the Greek goddess of love and beauty.

12 Greek Gods and Goddesses

Riemann hypothesis: Media

mathematics

Images

Other than the “trivial zeros” along the negative real axis, all the solutions to the Riemann zeta function must lie in the critical strip of complex numbers whose real part is between 0 and 1. The Riemann hypothesis is that all these nontrivial zeros actually lie on the critical line, or Re(S) = 12.

Other than the “trivial zeros” along the negative real axis, all the solutions to...

Encyclopædia Britannica, Inc.

VIEW MORE in these related Britannica articles: