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Hardy–Ramanujan–Littlewood circle method. In mathematics, the Hardy–Ramanujan–Littlewood circle method is a technique of analytic number theory. It is named for G. H. Hardy, S. Ramanujan, and J. E. Littlewood, who developed it in a series of papers on Waring's problem .
Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.
Ramanujan summation. Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series. Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties that make it mathematically useful in the study of divergent infinite series ...
Apollonian gasket. In mathematics, an Apollonian gasket or Apollonian net is a fractal generated by starting with a triple of circles, each tangent to the other two, and successively filling in more circles, each tangent to another three. It is named after Greek mathematician Apollonius of Perga. [ 1]
Ramanujan's sum. In number theory, Ramanujan's sum, usually denoted cq ( n ), is a function of two positive integer variables q and n defined by the formula. where ( a, q) = 1 means that a only takes on values coprime to q . Srinivasa Ramanujan mentioned the sums in a 1918 paper. [ 1]
June 27, 2024 at 11:49 AM. (Reuters) - Major U.S. telecom service providers said on Thursday some of their users traveling overseas were having connectivity problems due to an issue at a partner ...
Service no. 25308. Susilo Bambang Yudhoyono (born 9 September 1949), commonly referred to as SBY, is an Indonesian politician and retired army general who served as the sixth president of Indonesia from 2004 to 2014 and the second Indonesian President from the military after Suharto. He founded the Democratic Party of Indonesia, he served as ...
New car prices fell 0.2% in July and 1.4% from the prior year. Compared to their peak in February 2022, prices paid for used vehicles are now down 19.4%. Used car prices rose more than 40% ...