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  2. Ramanujan's sum - Wikipedia

    en.wikipedia.org/wiki/Ramanujan's_sum

    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 = ...

  3. Character sum - Wikipedia

    en.wikipedia.org/wiki/Character_sum

    In mathematics, a character sum is a sum () of values of a Dirichlet character χ modulo N, taken over a given range of values of n.Such sums are basic in a number of questions, for example in the distribution of quadratic residues, and in particular in the classical question of finding an upper bound for the least quadratic non-residue modulo N.

  4. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Hardy–Ramanujan theorem (number theory) Harish–Chandra theorem (representation theory) Harish–Chandra's regularity theorem (representation theory) Harnack's curve theorem (real algebraic geometry) Harnack's theorem (complex analysis) Hartman–Grobman theorem (dynamical systems) Hartogs–Rosenthal theorem (complex analysis)

  5. List of things named after Srinivasa Ramanujan - Wikipedia

    en.wikipedia.org/wiki/List_of_things_named_after...

    Ramanujan–Peterssen conjecture; Ramanujan–Soldner constant; Ramanujan summation; Ramanujan theta function; Ramanujan graph; Ramanujan's tau function; Ramanujan's ternary quadratic form; Ramanujan prime; Ramanujan's constant; Ramanujan's lost notebook; Ramanujan's master theorem; Ramanujan's sum; Rogers–Ramanujan identities; Rogers ...

  6. Srinivasa Ramanujan - Wikipedia

    en.wikipedia.org/wiki/Srinivasa_Ramanujan

    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 ...

  7. Ramanujan summation - Wikipedia

    en.wikipedia.org/wiki/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, for which conventional summation is undefined.

  8. Rogers–Ramanujan identities - Wikipedia

    en.wikipedia.org/wiki/Rogers–Ramanujan_identities

    In mathematics, the Rogers–Ramanujan identities are two identities related to basic hypergeometric series and integer partitions. The identities were first discovered and proved by Leonard James Rogers ( 1894 ), and were subsequently rediscovered (without a proof) by Srinivasa Ramanujan some time before 1913.

  9. List of eponyms (L–Z) - Wikipedia

    en.wikipedia.org/wiki/List_of_eponyms_(L–Z)

    John Rambo, American literary and film character – a "Rambo" (a reckless person who disregards orders and uses violence to solve problems), [18] "Rambo strategy", "Rambo lawyer" (one who habitually engages in "all manners of adversarial excess, including personal attacks on other lawyers, hostility, boorish and insulting behavior, rudeness ...