One of the most basic methods in additive number theory is the Hardy-Littlewood circle method. This method is based on expressing a quantity of interest to additive number theory, such as the number of representations of an integer as the sum of three primes, as a Fourier-analytic integral over the unit circle involving exponential [...]

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Academics / Mathematics : Terence Tao's Blog (3 years ago)

Let be an element of the unit circle, let, and let. We define the (rank one) Bohr set to be the set where is the distance to the origin in the unit circle (or equivalently, the distance to the nearest integer, after lifting up to )....

Academics / General Science : Science Daily (5 hours ago)

Engineers have developed a new family of methods to significantly increase the speed of time-resolved numerical simulations in computational grand challenge problems. Such problems often arise from the high-resolution approximation ...

Academics / Mathematics : The n-Category Caf (4 years ago)

Workshop on category theoretic methods in representation theory.

Academics / Mathematics : The n-Category Caf (3 years ago)

Young Researchers Workshop on Higher Algebraic and Geometric Structures: Modern Methods in Representation Theory at the Fields Institute, May 7-9, 2012

Academics / Mathematics : Programming Praxis (5 years ago)

Hugh Williams invented the p+1 integer factorization method in 1982 based on John Pollardâ€™s p-1 integer factorization method; the p+1 method finds a factor p when p is smooth with respect to a bound B. We noted in a previous exercis...

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