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Cameron Leigh Stewart
Cameron Leigh Stewart Royal Society of Canada, FRSC is a Canadian mathematician. He is a professor of pure mathematics at the University of Waterloo. Contributions He has made numerous contributions to number theory, in particular to work on the abc conjecture, ''abc'' conjecture. In 1976 he obtained, with Alan Baker (mathematician), Alan Baker, an effective improvement to Liouville's theorem on diophantine approximation, Liouville's Theorem. In 1991 he proved that the number of solutions to a Thue equation f(x,y) = h is at most 2800(1 + 1/4\epsilon \deg f)(\deg f)^, where \epsilon is a pre-determined positive real number and \omega(g) is the number of distinct primes dividing a large divisor g of h. This improves on an earlier result of Enrico Bombieri and Wolfgang M. Schmidt and is close to the best possible result. In 1995 he obtained, along with Jaap Top, the existence of infinitely many quadratic, cubic, and sextic twists of elliptic curves of large rank. In 1991 and 2001 re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
