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March 2010
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Riemann zeta function

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The Riemann Hypothesis is probably the hardest unsolved problem in all of mathematics, and one of the most important. It has to do with prime numbers - the building blocks of arithmetic. Nick Mee, together with Sir Arthur C. Clarke, tells us about the patterns hiding inside numbers.

Tags: prime number : cryptography : number theory : Riemann hypothesis : prime number distribution : Arthur C Clarke : Fundamental theorem of arithmetic : zeta function : Riemann zeta function : prime number spiral


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Following on from his article 'The prime number lottery' in last issue of Plus, Marcus du Sautoy continues his exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis.

Tags: prime number : mathematics and music : hilbert problems : Riemann hypothesis : Riemann zeta function : logarithmic integral : harmonic : imaginary number


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Mathematics takes to the stage with A disappearing number, a work by Complicite, inspired by the mathematical collaboration of Hardy and Ramanujan. Rachel Thomas went to see the play, and explains some of the maths. You can also read her interview with Victoria Gould about how the show was created.

Tags: mathematics and art : convergence : divergence : infinite series : Riemann zeta function : mathematics and theatre


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Victoria Gould has always known she would be an actor, and went straight from studying arts at school to running her own theatre company. But she eventually had to come clean about her guilty secret - she loves maths - and has since managed to combine a career as a research mathematician and teacher with a successful acting career on television and in theatre. She tells Plus why she needs to use both sides of her brain.

Tags: mathematics and art : convergence : hardy : ramanujan : infinite series : Riemann zeta function : mathematics and theatre : partitions : maths education


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The first third degree transcendental L-function

Tags: prime number : Riemann hypothesis : Riemann zeta function