Helmut Maier (born 17 October 1953) is a German mathematician and professor at the University of Ulm, known for his contributions in analytic number theory and mathematical analysis, and particularly for Maier's matrix method and for Maier's theorem on primes in short intervals. He has also done important work on exponential sums and trigonometric sums over special sets of integers and on the Riemann zeta function. He graduated with a diploma in mathematics from the University of Ulm in 1976 under Hans-Egon Richert and received his doctorate from the University of Minnesota in 1981 under J. Ian Richards. His doctoral thesis extended his paper on chains of large gaps between consecutive primes, in which he first applied the matrix method.
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He is known for his contributions in analytic number theory and mathematical analysis and particularly for the so-called Maier's matrix method as well as Maier's theorem for primes in short intervals.
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In number theory, Maier's theorem is a theorem due to Helmut Maier about the numbers of primes in short intervals for which Cramér's probabilistic model of primes gives a wrong answer.
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