Final Remarks

  • John M. Howie
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


The purpose of this very brief final chapter is to make the point that complex analysis is a living topic. The first section describes the Riemann Hypothesis, perhaps the most remarkable unsolved problem in mathematics. Because it requires a great deal of mathematical background even to understand the conjecture, it is not as famous as the Goldbach Conjecture (every even number greater than 2 is the sum of two prime numbers) or the Prime Pairs Conjecture (there are infinitely many pairs (p, q) of prime numbers with q = p + 2) but it is hugely more important than either of these, for a successful proof would have many, many consequences in analysis and number theory.


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    Godfrey Harold Hardy, 1877–1947.Google Scholar
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    Jacques Salomon Hadamard, 1865–1963.Google Scholar
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    Charles Jean Gustave Nicolas Baron de la Vallée Poussin, 1866–1962.Google Scholar
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Copyright information

© Springer-Verlag London 2003

Authors and Affiliations

  • John M. Howie
    • 1
  1. 1.School of Mathematics and Statistics, Mathematical InstituteUniversity of St AndrewsNorth Haugh, St Andrews, FifeUK

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