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Srinivasa Ramanujan mentioned the sums in a 1918 paper. [1] In addition to the expansions discussed in this article, Ramanujan's sums are used in the proof of Vinogradov's theorem that every sufficiently large odd number is the sum of three primes. [2]
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.
Three Hundred Rāmāyaṇas is a scholarly essay that summarizes the history of the Rāmāyaṇa and its spread across India and Asia over a period of 2,500 years or more. . It seeks to demonstrate factually how the story of Rama has undergone numerous variations while being transmitted across different languages, societies, geographical regions, religions, and historical perio
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 ...
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.
Ramanujan summation is a method to isolate the constant term in the Euler–Maclaurin formula for the partial sums of a series. For a function f , the classical Ramanujan sum of the series ∑ k = 1 ∞ f ( k ) {\displaystyle \textstyle \sum _{k=1}^{\infty }f(k)} is defined as
This latter view of Article 31C was questioned, but not overturned, in Sanjeev Coke Manufacturing Co v Bharat Cooking Coal Ltd. [21] The concept of basic structure has since been developed by the Supreme Court in subsequent cases, such as Waman Rao v. Union of India, [22] Bhim Singhji v. Union of India, [23] S.P. Gupta v.
Bangladesh has an influential English-language press, including newspapers The Daily Star, New Age, Dhaka Tribune, The Muslim Times, and The Independent, which bring out regular literary supplements. Prominent magazines include The Star , Slate , Dhaka Courier , and Forum .