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*World of Mathematics* on Charles Jean Gustave Nicolas de la Valle-Poussin

Charles Jean Gustave Nicolas de la Vallée-Poussin was responsible for proving the **prime number theorem**. A prime number is a number that can be divided by only one and itself without producing a remainder, and de la Vallée-Poussin--like many others--set out to prove the relationship between **prime numbers**. In an article for *MAA Online *dated December 23, 1996, Ivars Peterson asserts: "In effect, [the prime number theorem] states that the average gap between two consecutive primes near the number *x *is close to the natural logarithm of *x. *Thus, when *x *is close to 100, the natural logarithm of *x *is approximately 4.6, which means that in this **range**, roughly every fifth number should be a prime." De la Vallée-Poussin was additionally known for his writings about the **zeta function**, Lebesgue and Stieltjes integrals, conformal representation, algebraic and trigonometric polynomial approximation, trigonometric series, analytic and quasi-analytic...

This section contains 834 words(approx. 3 pages at 300 words per page) |