Sidney Graham | |
---|---|
Born | August 29, 1950 Oklahoma, US |
Alma mater | University of Michigan |
Scientific career | |
Fields | Mathematics |
Institutions | Central Michigan University, University of Texas-Austin, Michigan Technological University, National Science Foundation |
Doctoral advisor | Hugh Montgomery |
Sidney West Graham is a mathematician interested in analytic number theory and professor at Central Michigan University. He received his Ph.D., which was supervised by Hugh Montgomery, from the University of Michigan in 1977. [1] In his Ph.D. thesis he lowered the upper bound for Linnik's constant to 36 and subsequently reduced the bound further to 20. [2]
A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair or (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term twin prime is used for a pair of twin primes; an alternative name for this is prime twin or prime pair.
In Greek mythology, Bia is the personification of force. According to the preface to Fabulae by Gaius Julius Hyginus, Bia's Roman name was Vis.
Linnik's theorem in analytic number theory answers a natural question after Dirichlet's theorem on arithmetic progressions. It asserts that there exist positive c and L such that, if we denote p(a,d) the least prime in the arithmetic progression
In additive number theory, the Schnirelmann density of a sequence of numbers is a way to measure how "dense" the sequence is. It is named after Russian mathematician Lev Schnirelmann, who was the first to study it.
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In combinatorial number theory, the Erdős–Graham problem is the problem of proving that, if the set of integers greater than one is partitioned into finitely many subsets, then one of the subsets can be used to form an Egyptian fraction representation of unity. That is, for every , and every -coloring of the integers greater than one, there is a finite monochromatic subset of these integers such that
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