Photo, left: Riemann hypothesis
The Riemann hypothesis is that all nontrivial zeros of the analytical continuation of the Riemann zeta function have a real part of 1/2. A proof or disproof of this would have far-reaching implications in number theory, especially for the distribution of prime numbers. This was Hilbert's eighth problem, and is still considered an important open problem a century later.
The official statement of the problem was given by Enrico Bombieri.
JOHN BATCHELOR SHOW
 
Hour One
Sunday  8 February 2015  / Hour 1, Block A: Visions of Infinity: The Great Mathematical Problems, by Ian Stewart (1 of 4)
Sunday  8 February 2015  / Hour 1, Block B: Visions of Infinity: The Great Mathematical Problems, by Ian Stewart (2 of 4)
Sunday  8 February 2015  / Hour 1, Block C: Visions of Infinity: The Great Mathematical Problems, by Ian Stewart (3 of 4)
Sunday  8 February 2015  / Hour 1, Block D: Visions of Infinity: The Great Mathematical Problems, by Ian Stewart (4 of 4)
 
Hour Two
Sunday  8 February 2015  / Hour 2, Block A: Fatal Crossroads: The Untold Story of the Malmedy Massacre at the Battle of the Bulge, by Danny S. Parker (1 of 4)
Sunday  8 February 2015  / Hour 2, Block B: Fatal Crossroads: The Untold Story of the Malmedy Massacre at the Battle of the Bulge, by Danny S. Parker (2 of 4)
Sunday  8 February 2015  / Hour 2, Block C: Fatal Crossroads: The Untold Story of the Malmedy Massacre at the Battle of the Bulge, by Danny S. Parker (3 of 4)
Sunday  8 February 2015  / Hour 2, Block D: Fatal Crossroads: The Untold Story of the Malmedy Massacre at the Battle of the Bulge, by Danny S. Parker (4 of 4)
 
Hour Three
Sunday  8 February 2015  / Hour 3, Block A: More Powerful Than Dynamite: Radicals, Plutocrats, Progressives, and New York's Year of Anarchy, by Thai Jones (1 of 4)
Sunday  8 February 2015  / Hour 3, Block B: More Powerful Than Dynamite: Radicals, Plutocrats, Progressives, and New York's Year of Anarchy, by Thai Jones (2 of 4)
Sunday  8 February 2015  / Hour 3, Block C: More Powerful Than Dynamite: Radicals, Plutocrats, Progressives, and New York's Year of Anarchy, by Thai Jones (3 of 4)
Sunday  8 February 2015  / Hour 3, Block D: More Powerful Than Dynamite: Radicals, Plutocrats, Progressives, and New York's Year of Anarchy, by Thai Jones (4 of 4)
 
Hour Four
Sunday  8 February 2015  / Hour 4, Block A: DarkMarket: Cyberthieves, Cybercops and You, by Misha Glenny  (1 of 4)
Sunday  8 February 2015  / Hour 4, Block B: DarkMarket: Cyberthieves, Cybercops and You, by Misha Glenny  (2 of 4)
Sunday  8 February 2015  / Hour 4, Block C: DarkMarket: Cyberthieves, Cybercops and You, by Misha Glenny  (3 of 4)
Sunday  8 February 2015  / Hour 4, Block D: DarkMarket: Cyberthieves, Cybercops and You, by Misha Glenny  (4 of 4)
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