Jørgen Pedersen Gram

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Jørgen Pedersen Gram (June 27, 1850 - April 29, 1916) was a Danish mathematician who was born in Nustrup, Denmark and died in Copenhagen, Denmark.

Important papers of his include On series expansions determined by the methods of least squares, and Investigations of the number of primes less than a given number.

For number theorists his main fame is the series for the Riemann zeta function (the leading function in Riemann's exact Prime counting function). Instead of using a series of logarithmic integrals, Gram's function uses logarithm powers and the zeta function of positive integers. It has recently been supplanted by a formula of Ramanujan that uses the Bernoulli numbers directly instead of the zeta function.

He died after being struck by a bicycle.

[edit] See also

• Bernoulli number
• Gram–Schmidt process
• Gram matrix
• Logarithmic integral function
• Prime number
• Riemann zeta function
• Riemann-Siegel theta function which contain Gram points.

[edit] External links

• O'Connor, John J., and Edmund F. Robertson. "Jørgen Pedersen Gram". MacTutor History of Mathematics archive.