Dr Nilamoni Saikia

THE RELATIONSHIP BETWEEN PARTITION sound AND DIVISOR FUNCTION P N Phukan1 and N Saikia2 Deptt. of Mathematical Sciences, Chaiduar College, Gohpur-784168 India E-mail:nilamonisaikia@yahoo.com filch: The section move and the broker course ar dickens get theory-based portions in addition come up theory and increasing calculate theory respectively. The number theoretic answers play classical roles in number theory. In ahead studies many authors direct established relationships among some(a) of these functions, but not entirely of them. In this paper we establish relationship between air division function and divisor function along with some theorems cerebrate to from each one functions. Kew words: sectionalization function, divisor function, generating function, Ferrers diagram, pentangular numbers. 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 numbers or product of divisors. Two objects of lodge in here are the sum of divisors function ?(n) and number of divisors function d(n), which are , the sum of divisors and number of divisors of n respectively.

Additive number theory, on the other hand, is concerned with how a positive integer stack be constructed as the sum of numbers from some set. The intent of this paper is to show the relationships between partition function and divisor function. In order to do that, one necessarily to drag these two functions which is the aim of this paper along with their properties. At number 1 we define the respective function , illustrated with simple examples, und ertaken problems, obtained generating functi! ons for several(prenominal) partition functions, figure some theorems related to each function and then shows the relationships between the partition function and divisor function. 2. Partitions: rendering 2.1:- A partition of a non-negative integer n is a representation of n as a sum of positive integers. We often bring out the...If you want to get a full-of-the-moon essay, order it on our website: OrderEssay.net

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