Mathematician:Jan Cornelis Kluyver

Dutch mathematician who made important contributions to analysis, number theory and geometry. He was professor at Leiden University, 1892-1930.

Nationality
Dutch

History

 * Born: 02 May 1860, Zaandam, Netherlands
 * Died: 31 December 1932, Leiden, Netherlands

Theorems

 * Kluyver's Formula for Ramanujan's Sum
 * Franel-Kluyver Integral

Books and Papers

 * 1898: On the reducible hyperelliptic Integrals
 * 1899: The continuation of a one-valued function represented by a double series
 * 1899: Borel's formulae for divergent series
 * 1899: Approximation formulae concerning the prime numbers not exceeding a given limit
 * 1900: On the expansion of a function in a series of polynomials
 * 1901: Series of Polynomials (1st part)
 * 1901: On series of Polynomials 2nd part
 * 1902: An analytical expression for the greatest common divisor of two integers
 * 1903: Series derived from the series [formula]
 * 1904: Evaluation of two definite integrals
 * 1905: A local probability problem
 * 1906: Some formulae concerning the integers less than $n$ and prime to $n$
 * 1907: On the cyclic minimal surface
 * 1908: An integral-theorem of Gegenbauer
 * 1910: On the integrating of series term-by-term
 * 1912: On a differential equation of Schafli
 * 1914: On an integral formula of Stieltjes
 * 1917: On some numerical series considered by Euler
 * 1917: The primitive divisor of [formula]
 * 1918: On hyperelliptic integrals of deficiency $p = 2$ reducible by a transformation of order $r = 4$
 * 1919: On the evaluation of [formula]
 * 1919: On Lambert's series
 * 1921: On analytic functions defined by certain Lambert series