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Encyclopedia > Jørgen Pedersen Gram

Jørgen Pedersen Gram (June 27, 1850 - April 29, 1916) was a Danish mathematician who was born in Nustrup, Denmark and died in Copenhagen, Denmark. June 27 is the 178th day of the year (179th in leap years) in the Gregorian Calendar, with 187 days remaining. ... 1850 was a common year starting on Tuesday (see link for calendar). ... April 29 is the 119th day of the year in the Gregorian calendar (120th in leap years). ... 1916 is a leap year starting on Saturday (link will take you to calendar) Events January-February January 1 -The first successful blood transfusion using blood that had been stored and cooled. ... A mathematician is a person whose area of study and research is mathematics. ... City nickname: none Location in Denmark Area  - Total  - Water 526 km² xxx km² xx% Population  - City (2004)  - Metropolitan  - Density 502,204 1,116,979 954/km2 [including water] xxx/km2 [land only] Time zone Eastern: UTC+1 Latitude Longitude 55°43 N 12°34 W Copenhagen (Danish: København) is...

Papers: On series expansions determined by the methods of least squares. Investigations of the number of primes less than a given number.

For number theorists his main fame is the series for the Riemann function (the leading function in Riemann's exact prime count formula). 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.

 Rama(x)=Gram(x)+Gram(1/x), any x>0 discovered by having both formulas programmed in UBASIC and noticing that some numbers looked awfully familiar 

Struck and killed by a bicycle.

See also

In mathematics and numerical analysis, the Gram-Schmidt process of linear algebra is a method of orthogonalizing a set of vectors in an inner product space, most commonly the Euclidean space Rn. ... In mathematics, the Riemann zeta function is a function which is of paramount importance in number theory, because of its relation to the distribution of prime numbers. ... In mathematics, the Bernoulli numbers Bn were first discovered in connection with the closed forms of the sums for various fixed values of n. ... In mathematics, the logarithmic integral function or integral logarithm li(x) is a non-elementary function defined for all positive real numbers x≠ 1 by the definite integral: Here, ln denotes the natural logarithm. ... In mathematics, a prime number, or prime for short, is a natural number greater than one and whose only distinct positive divisors are one and itself. ... UBASIC is an interpreter with many mathematical routines. ...

External links

  • Biography (http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Gram.html) at the MacTutor archive



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