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Title:Topics in Combinatorial Number Theory
Author(s):Filaseta, Michael Anthony
Department / Program:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Abstract:In this dissertation we present a number of new results in combinatorial number theory. Chapter I discusses a generalization of B(,2)-sequences which are used in Chapter II and Chapter III to obtain short interval results about k-free values of irreducible polynomials. Chapter IV deals with the number of partitions of an integer using a set of distinct parts; Chapter V demonstrates how a single prime value of a polynomial with non-negative coefficients can be used to show that the polynomial is irreducible; Chapter VI compares simple continued fraction convergents for SQRT.(N) with Newton approximations to SQRT.(N); and Chapter VII obtains exact formulas for a certain class of ballot problems. An introduction is included which gives preliminary discussions on various aspects of the problems.
Issue Date:1984
Description:107 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.
Other Identifier(s):(UMI)AAI8502140
Date Available in IDEALS:2014-12-16
Date Deposited:1984

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