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Há 1 dia · 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.
Há 5 dias · 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]
Há 2 dias · The fast iterative algorithms were anticipated in 1914, when Indian mathematician Srinivasa Ramanujan published dozens of innovative new formulae for π, remarkable for their elegance, mathematical depth and rapid convergence. One of his formulae, based on modular equations, is
Há 1 dia · Werner Nahm. The overlap of Srinivasa Ramanujan's work with quantum field theory is discussed. A mathematically natural axiom for euclidean quantum field theories is proposed. Subjects: Mathematical Physics (math-ph) Cite as: arXiv:2405.05863 [math-ph] (or arXiv:2405.05863v1 [math-ph] for this version) Journal reference:
Há 4 dias · Number theory is the study of properties of the integers. Because of the fundamental nature of the integers in mathematics, and the fundamental nature of mathematics in science, the famous mathematician and physicist Gauss wrote: "Mathematics is the queen of the sciences, and number theory is the queen of mathematics."
Há 1 dia · Pythagorean theorem, geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. Although the theorem has long been associated with the Greek mathematician Pythagoras, it is actually far older.
Há 1 dia · Founded in 2010, Ramanujan College emerged as a haven for curious minds. Named after the legendary Indian mathematician Srinivasa Ramanujan, the college carries forward his legacy of brilliance and innovation. Our corridors echo with mathematical whispers, and the garden blooms as if solving equations. The Second Semester Canvas
