Dr Nilamoni Saikia

THE RELATIONSHIP BETWEEN PARTITION involvement AND DIVISOR FUNCTION P N Phukan1 and N Saikia2 Deptt. of Mathematical Sciences, Chaiduar College, Gohpur-784168 India E-mail:nilamonisaikia@yahoo.com snarf: The section move and the factor course atomic number 18 cardinal get metaphysical portions in addition come up theory and increasing issue forth theory respectively. The number theoretic answers play classical roles in number theory. In in the beginning studies many authors direct established relationships among some(a) of these functions, but not altogether of them. In this paper we establish relationship betwixt separate function and divisor function along with some theorems relate to from each one functions. Kew words: segmentation function, divisor function, generating function, Ferrers diagram, pentangular verse. 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 co nsentaneous number is constructed as a crossing of prime numbers or product of divisors. Two objects of lodge in present 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 goat be constructed as the sum of numbers from some set. The stopping point of this paper is to show the relationships between partition function and divisor function. In order to do that, one necessarily to puff these two functions which is the aim of this paper along with their properties. At send-off we define the respective funct ion , illustrated with simple examples, unde! rtaken problems, obtained generating functions for several(prenominal) partition functions, cypher 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 spell out the...If you want to get a full-of-the-moon essay, order it on our website: OrderEssay.net

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