Search results
Results from the WOW.Com Content Network
Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge to provide a general algorithm that, for any given Diophantine equation (a polynomial equation with integer coefficients and a finite number of unknowns), can decide whether the equation has a solution with all unknowns taking integer values.
Hilbert's tenth problem does not ask whether there exists an algorithm for deciding the solvability of Diophantine equations, but rather asks for the construction of such an algorithm: "to devise a process according to which it can be determined in a finite number of operations whether the equation is solvable in rational integers". That this ...
Julia Hall Bowman Robinson (December 8, 1919 – July 30, 1985) was an American mathematician noted for her contributions to the fields of computability theory and computational complexity theory—most notably in decision problems. Her work on Hilbert's tenth problem (now known as Matiyasevich's theorem or the MRDP theorem) played a crucial ...
[1] [6] [10] Davis was also known for his model of Post–Turing machines. [3] In 1974, Davis won the Lester R. Ford Award for his expository writing related to his work on Hilbert's tenth problem, [2] [11] and in 1975 he won the Leroy P. Steele Prize and the Chauvenet Prize (with Reuben Hersh). [12]
A proof or disproof of this would have far-reaching implications in number theory, especially for the distribution of prime numbers. This was Hilbert's eighth problem, and is still considered an important open problem a century later. The problem has been well-known ever since it was originally posed by Bernhard Riemann in 1860.
In mathematics, Hilbert's program, formulated by German mathematician David Hilbert in the early 1920s, [1] was a proposed solution to the foundational crisis of mathematics, when early attempts to clarify the foundations of mathematics were found to suffer from paradoxes and inconsistencies.
Jan Denef. Jan Denef (born 4 September 1951) is a Belgian mathematician.He is an Emeritus Professor of Mathematics at the Katholieke Universiteit Leuven (KU Leuven). [1]Denef obtained his PhD from KU Leuven in 1975 with a thesis on Hilbert's tenth problem; his advisors were Louis Philippe Bouckaert and Willem Kuijk.
Pages in category "Hilbert's problems" The following 35 pages are in this category, out of 35 total. ... Hilbert's tenth problem; Hilbert's eleventh problem;