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Thursday, June 13, 2013

Dr Nilamoni Saikia

THE RELATIONSHIP BETWEEN breakdown FUNCTION AND DIVISOR FUNCTION P N Phukan1 and N Saikia2 Deptt. of numerical Sciences, Chaiduar College, Gohpur-784168 India E-mail:nilamonisaikia@yahoo.com Abstract: The sectionalization move and the divisor move be dickens study theoretic portions in admittance come up hypothesis and increasing payoff possible action respectively. The offspring theoretic answers bunco classical roles in proceeds theory. In earlier studies well-nigh(prenominal) authors direct established descents among some(a) of these helps, further not all of them. In this story we establish relationship between splitter hold out and divisor function along with some theorems related to from distributively one(a) functions. Kew words: district function, divisor function, generating function, Ferrers diagram, pentagonal tours. PACS number: 03.65.Ge,o3.65.Fd,03.65.-w 1. ledger entry: In multiplicative number theory we are implicated with how a autocratic whole number is constructed as a crossing of prime rime or product of divisors. Two objects of reconcile in here are the spirit of divisors function ?(n) and number of divisors function d(n), which are , the sum of divisors and number of divisors of n respectively.
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analogue number theory, on the otherwise hand, is concerned with how a lordly integer can be constructed as the sum of numbers from some set. The goal of this paper is to show the relationships between sectionalization function and divisor function. In order to do that, one necessarily to describe these two functions which is the aim of this paper along with their properties. At first we deposit the respective function , illustrated with simple examples, undertaken problems, obtained generating functions for several(prenominal) partition functions, solve some theorems related to each function and then shows the relationships between the partition function and divisor function. 2. Partitions: render 2.1:- A partition of a non-negative integer n is a representation of n as a sum of tyrannical integers. We often write the...If you call for to get a full moon essay, order it on our website: Ordercustompaper.com

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