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where the a k ∈ C, is called a Ramanujan expansion [12] of f (n). Ramanujan found expansions of some of the well-known functions of number theory. All of these results are proved in an "elementary" manner (i.e. only using formal manipulations of series and the simplest results about convergence).
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The multiplicative inverse of its generating function is the Euler function; by Euler's pentagonal number theorem this function is an alternating sum of pentagonal number powers of its argument. Srinivasa Ramanujan first discovered that the partition function has nontrivial patterns in modular arithmetic, now known as Ramanujan's congruences.
Mystery Trackers is a casual game series developed by Elephant Games and distributed by Big Fish Games.The Mystery Trackers series are ‘Hidden Object Puzzle Adventure’ puzzles (HOPA), where to progress through a game, the player must find a certain number of items hidden somewhere on a painted scene.
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A hidden object game features cluttered objects that a player should find. A hidden object game, also called hidden picture or hidden object puzzle adventure (HOPA), is a subgenre of puzzle video games in which the player must find items from a list that are hidden within a scene. Hidden object games are a popular trend in casual gaming. [1] [2]
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