Search results
Results from the WOW.Com Content Network
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]
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
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.
This page was last edited on 14 October 2023, at 19:23 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
The Supreme Court of Maryland (previously the Maryland Court of Appeals) is the highest court of the U.S. state of Maryland. The court, which is composed of one chief justice and six associate justices, meets in the Robert C. Murphy Courts of Appeal Building in the state capital, Annapolis. The term of the Court begins the second Monday of ...
In 1840, by order of the Maryland state legislature, the non-religious St. Mary's Female Seminary was founded in St. Mary's City. This would later become St. Mary's College of Maryland, the state's public honors college.
It is the second positive integer which can be expressed as the sum of two positive cubes in two different ways. The first such number, 1729 , is called the " Ramanujan–Hardy number ". 4104 is the sum of 4096 + 8 (that is, 16 3 + 2 3 ), and also the sum of 3375 + 729 (that is, 15 3 + 9 3 ).
This is an accepted version of this page This is the latest accepted revision, reviewed on 25 October 2024. 1819 United States Supreme Court case McCulloch v. Maryland Supreme Court of the United States Argued February 21 – March 3, 1819 Decided March 6, 1819 Full case name James McCulloch v. The State of Maryland, John James [a] Citations 17 U.S. 316 (more) 4 Wheat. 316; 4 L. Ed. 579; 1819 ...