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...

walk from Hardy's room. Hardy and Littlewood began to look at Ramanujan's notebooks. Hardy had already received 120 theorems from Ramanujan in the first...

function Hardy–Littlewood tauberian theorem Hardy–Littlewood zeta function conjectures Hardy–Ramanujan Journal Hardy–Ramanujan number Hardy–Ramanujan theorem...

equations and had lengthy collaborations with G. H. Hardy, Srinivasa Ramanujan and Mary Cartwright. Littlewood was born on the 9th of June 1885 in Rochester...

Srinivasa Ramanujan and G. H. Hardy's work on integer partitions, starting in 1918, first using a Tauberian theorem and later the circle method. Walter...

conjecture Goldbach's weak conjecture Second Hardy–Littlewood conjecture Hardy–Littlewood circle method Schinzel's hypothesis H Bateman–Horn conjecture...

Kloosterman, who introduced them in 1926 when he adapted the Hardy–Littlewood circle method to tackle a problem involving positive definite diagonal quadratic...

Hardy–Littlewood circle method; but to reduce the number of variables to the point of getting the best-possible results, the more structural methods from...

in the primes. This generalises the classical approach using Hardy–Littlewood circle method. Many aspects of this theory, including the quantitative aspects...

{\sqrt {n}}}}{{\sqrt {2}}\,n^{3/4}}}} , as can be proved by the Hardy–Littlewood circle method. More remarkably, the Fourier coefficients for the positive...

Institute of Actuaries. 72 (3): 481. doi:10.1017/S0020268100035435. Hardy, Godfrey H.; Littlewood, John E. (1923). "On some problems of "partitio numerorum" III:...

{\displaystyle |y^{2}-x^{3}|>c(\varepsilon )x^{1/2-\varepsilon }} . Hardy–Littlewood zeta function conjectures Hilbert–Pólya conjecture: the nontrivial...

theorem (number theory) Grunwald–Wang theorem (algebraic number theory) Hardy–Ramanujan theorem (number theory) Hasse norm theorem (number theory) Hasse–Minkowski...

function. The evidence also seemed to indicate this. However, in 1914 J. E. Littlewood proved that this was not always the case, and in fact it is now known...