In combinatorics, the Cameron–Erd?s conjecture (now a theorem) is the statement that the number of sum-free sets contained in |N|=\{1,\ldots,N\} is O\left({2^{N/2}}\right).The sum of two odd numbers ...
Ben Green was born on 27 February 1977 in Bristol, England. He studied at local schools in Bristol, Bishop Road Primary School and Fairfield Grammar School, competing in the International Mathematical ...
Those results were existence theorems and did not show how to find the progressions. On January 18, 2007, Jaros?aw Wróblewski found the first known case of 24 primes in arithmetic progression:468,39 ...
Tardos started with a result in universal algebra: he exhibited a maximal clone of monotone operations which is not finitely generated. He obtained partial results concerning the Hanna Neumann conject ...
The Stanley–Wilf conjecture states that for every permutation β, there is a constant C such that the number |Sn(β)| of permutations of length n which avoid β as a permutation pattern is at most Cn ...
Gérard Laumon (French: ; born 1952 in Lyon) is a French mathematician. He studied at the ?cole Normale Supérieure and Paris-Sud 11 University, Orsay.In 2004 Laumon and Ng? B?o Ch?u received the ...
Chau was born in 1972, the only son of an intellectual family in Hanoi, North Vietnam. His father, professor Ng? Huy C?n (vi), is full professor of physics at the Vietnam National Institute of Mecha ...
Robert Langlands outlined a strategy for proving local and global Langlands conjectures using the Arthur–Selberg trace formula, but in order for this approach to work, the geometric sides of the trac ...
The problem was first published in the 1982 book Winning Ways by Berlekamp, Conway, and Guy, under the name "the angel and the square-eater." In two dimensions, some early partial results included:If ...
Road coloring problem posed and solved Trahtman's solution to the road coloring problem was accepted in 2007 and published in 2009 by the Israel Journal of Mathematics. The problem arose in the subfie ...
The image to the right shows a directed graph on eight vertices in which each vertex has out-degree 2. (Each vertex in this case also has in-degree 2, but that is not necessary for a synchronizing col ...
Cubing the cube is the analogue in three dimensions of squaring the square: that is, given a cube C, the problem of dividing it into finitely many smaller cubes, no two congruent.Unlike the case of sq ...
Jean-Pierre Wintenberger (born 1954) is a French mathematician, and currently a professor of mathematics at the University of Strasbourg. He was corecipient of the 2011 Cole Prize in number theory, al ...
Professional career Resident of Mumbai, India and completed his undergraduate education at Trinity College, Cambridge University. He finished his thesis in 1995 under the supervision of Haruzo Hida at ...
The conjecture concerns the absolute Galois group G_\mathbb{Q} of the rational number field \mathbb{Q}.Let \rho be an absolutely irreducible, continuous, two-dimensional representation of G_\mathbb{Q} ...
