Information: - Colin Brian Haselgrove ( 26 September 1926 -- 27 May 1964 ) was an English mathematician who is best known for his disproof of the Polya conjecture in 1958 . Haselgrove was educated at Blundell 's School and from there won a scholarship to King 's College , University of Cambridge . He obtained his Ph.D. , which was supervised by Albert Ingham , from Cambridge in 1956 . - In number theory, the Polya conjecture stated that "most" (i.e., 50% or more) of the natural numbers less than any given number have an "odd" number of prime factors. The conjecture was posited by the Hungarian mathematician George Polya in 1919, and proved false in 1958 by C. Brian Haselgrove. The size of the smallest counterexample is often used to show how a conjecture can be true for many numbers, and still be false. - In mathematics, the natural numbers are those used for counting (as in "there are "six" coins on the table") and ordering (as in "this is the "third" largest city in the country"). In common language, words used for counting are "cardinal numbers" and words used for ordering are "ordinal numbers". - George Polya (pronounced ; December 13, 1887 September 7, 1985) was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zurich and from 1940 to 1953 at Stanford University. He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory. He is also noted for his work in heuristics and mathematics education. - In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicities; the process of determining these factors is called integer factorization. The fundamental theorem of arithmetic says that every positive integer has a single unique prime factorization. - Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). - In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found. Conjectures such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (which was a conjecture until proven in 1995) have shaped much of mathematical history as new areas of mathematics are developed in order to prove them. After reading the paragraphs above, choose the best answer for the entity that related to 'c. brian haselgrove' with the relationship of 'field of work'. Choices: - combinatorics - english - history - information - mathematician - mathematics - number theory
The answer to this question is:
number theory