The twenty-first problem of the 23 Hilbert problems, from the celebrated list put forth in 1900 by David Hilbert, concerns the existence of a certain class...

Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several...

sphere). For generic monodromy data, the answer to Hilbert's twenty-first problem is 'yes'. The first proof was given by Josip Plemelj. However, the proof...

generalizations of this. The original setting appearing in Hilbert's twenty-first problem was for the Riemann sphere, where it was about the existence...

irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry) Hilbert's Theorem 90 Hilbert's syzygy theorem Hilbert–Speiser theorem...

on ordinary differential equations especially Hilbert's twenty-first problem (Riemann–Hilbert problem). Bolibrukh was the author of about a hundred research...

Hilbert's twenty-second problem is the penultimate entry in the celebrated list of 23 Hilbert problems compiled in 1900 by David Hilbert. It entails the...

greatly clarify the nature of the Riemann–Hilbert correspondence, which extends Hilbert's twenty-first problem to higher dimensions. Prior to Deligne's...

The Clay Institute was inspired by a set of twenty-three problems organized by the mathematician David Hilbert in 1900 which were highly influential in driving...

nuclear physics Andrei Bolibrukh – mathematician who solved Hilbert's twenty-first problem in 1989 Gersh Budker – Soviet physicist, specialized in nuclear...

uses it frequently." List of Slovenes Slovene mathematicians Hilbert's twenty-first problem Plemelj in slov.biographical lexicon Južnič, Stanislav; Prosen...

make up Hilbert's eighth problem in David Hilbert's list of twenty-three unsolved problems; it is also one of the Millennium Prize Problems of the Clay...

agenda for 20thC mathematics and the programme commenced with Hilbert's first problem. Georg Cantor considered the infinite set of whole numbers 1, 2...

distinct in tables for many years that are in fact the same. Hilbert's twenty-first problem. In 1908 Plemelj claimed to have shown the existence of Fuchsian...

all equal to 1 or −1? Hilbert's fifteenth problem: put Schubert calculus on a rigorous foundation. Hilbert's sixteenth problem: what are the possible...

is much simpler than Kuzmin's proof. Part of the seventh of Hilbert's twenty-three problems posed in 1900 was to prove, or find a counterexample to, the...

1979 Mebkhout presented the Riemann–Hilbert correspondence, which is a generalization of Hilbert's twenty-first problem to higher dimensions. The original...

1900 David Hilbert included it in his list of twenty three unsolved problems of mathematics—it forms part of Hilbert's eighteenth problem. The next step...

arithmetic, and analysis. In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories. Results of...

Geometrization conjecture Hilbert's problems Taniyama's problems List of unsolved problems in mathematics Poincaré conjecture Smale's problems Thurston, William...

R_{1031}} . Hilbert's problems are twenty-three problems in mathematics published by German mathematician David Hilbert in 1900. The first Mersenne number...

widely varied areas of mathematics, including the solution of Hilbert's fifth problem, and was a leader in reform and innovation in math­e­mat­ics teaching...

for example, Hilbert's tenth problem which is RE-complete. A similar problem exists in the theory of algebraic complexity: VP vs. VNP problem. Like P vs...

mathematical problems and open conjectures, such as the famous list by David Hilbert, the Simon problems concern quantum operators. Eight of the problems pertain...

non-constructive proofs for solving previously considered problems seems to be Hilbert's Nullstellensatz and Hilbert's basis theorem. From a philosophical point of...

kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional. Specifically, a Hilbert space...

1985, pp. 1047–1113 Function of several complex variables Hilbert's twenty-first problem "Rohrl" is the entry in American Men and Women of Science, Thomson...

interest is with Leimanis, who first discusses some history about the n-body problem, especially Ms. Kovalevskaya's 1868–1888 twenty-year complex-variables approach...

Although both problems were daunting and widely considered to be "completely inaccessible" to proof at the time, this was the first suggestion of a...

Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed...