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In number theory, Ramanujan's sum, usually denoted c q (n), is a function of two positive integer variables q and n defined by the formula = ...
Srinivasa Ramanujan Aiyangar [a] (22 December 1887 – 26 April 1920) was an Indian mathematician.Often regarded as one of the greatest mathematicians of all time, though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then ...
The multiplicative inverse of its generating function is the Euler function; by Euler's pentagonal number theorem this function is an alternating sum of pentagonal number powers of its argument. Srinivasa Ramanujan first discovered that the partition function has nontrivial patterns in modular arithmetic , now known as Ramanujan's congruences .
Some of the biggest brands in America, including Amazon, Meta, Walmart and McDonald’s, have recently changed or ended their diversity, equity and inclusion (DEI) programs. But e.l.f. Beauty, a ...
ALAMO, N.M. (Reuters) - - Twenty-eight-year old Ambrose Begay died after a fentanyl overdose under a tree 125 yards from his home on the Alamo Navajo reservation in southern New Mexico two years ago.
Image source: Getty Images. The 10 states where Social Security checks cover the most. To determine how far Social Security goes in each state, I compared the average annual benefit in each state ...
1729 can be expressed as a sum of two positive cubes in two ways, illustrated geometrically. 1729 is also known as Ramanujan number or Hardy–Ramanujan number , named after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan who was ill in a hospital.
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