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Filtering by: Creator Holman, Chelsea L. Remove constraint Creator: Holman, Chelsea L. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Peer Reviewed No Remove constraint Peer Reviewed: No

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The Partition Function and Ramanujan Congruences

Creator:

Bucher, Eric

Abstract:

The study into specific properties of the partition function has been a rich topic for number theorists for many years. Much of the current work involving the arithmetic properties of the partition function and their seed in some keen observations of Ramanujan.In particular he discovered what are referred to as...

Resource Type:

Capstone Project

Full Text:

(ln+ β) ≡ 0 (mod l) for all n ∈ Z, l prime, and some fixed β ∈ Z. In his own words, “It appears that
Vector sums of line segments

Creator:

Ogard, Steven Phillip

Abstract:

The author shows that a necessary and sufficient condition for a convex polyhedron to be representable as a finite vector sum of line segments is that each of its faces possesses central symmetry.

Resource Type:

Masters Thesis

Full Text:

independent term. Minkowski (4, p. 182) has shown that sets of the form L L {l)(I 1 Ji i= 1 4 (1
Two finite Tchebichef transformations

Creator:

Normann, Søren Frederick

Resource Type:

Masters Thesis

Full Text:

function (l-X2 )~. He was then able to establish a closed form solution to the integral equation thus
Lattice point on the boundary of convex bodies

Creator:

Andrews, George E., 1938-

Resource Type:

Masters Thesis

Full Text:

interior of C* besides the origin (2, p. 157). I shall generalize the method he used. Lemma l-l. If P
Cyclotomy in the Galois fields

Creator:

Pearson, Patricia Margaret

Resource Type:

Masters Thesis

Full Text:

FIELDS INTRODUCTION The cyclotomic polynomial gn(x)=li.f (xd- l)~(n/d) is the d in polynomial
Summation and table of finite sums

Creator:

Stalley, Robert Delmer

Resource Type:

Masters Thesis

Full Text:

calculus are differentiation, L lim %th'1t dt h40 h and its inrse, integration. The two fundanental
Generalization of the Ostrowski-Schneider main inertia theorem

Creator:

Hill, Richard David

Abstract:

As indicated by the title, this thesis generalizes the Main Inertia Theorem of Ostrowski and Schneider [8]. The first three results concern the formation of a polynomial function f(A, A*, H) so that the existence of an hermitian H for which f(A, A*, H) is positive definite is a necessary...

Resource Type:

Masters Thesis

Full Text:

constants colurnn vector cornplex variables where urVr X &rrd y are real Proposition L Given A
A proof of the consistency of geometry

Creator:

Jacobs, Michael Jay

Resource Type:

Masters Thesis

Full Text:

Since y1 y2, from equations (9) and (10), (l). . . (B1C2-C1B2) = (A1C2-A2C1)(x3-x2)/(y1-y2) (14
A recursive definition of ordinal arithmetic

Creator:

Prenter, Patricia Moira, 1934-

Resource Type:

Masters Thesis

Full Text:

all belong? By continued pairing and unions we can manu- facture a set C [0,l,2,...,n} and so ori
Investigations concerning heat transfer involving wedge-shaped configurations

Creator:

King, John Michael

Abstract:

The temperature field inside a "truncated" wedge is investigated. For this purpose the two dimensional Green's function of the heat equation for this domain is established. Further applications of these results center around a problem of heat conduction investigated by Lebedev.

Resource Type:

Masters Thesis

Full Text:

Laplace transforms of certain known formulas [Appendix formulas C" and C " 1 (12) L [K (2NrfTy)] = t -1

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Academic Affiliation

Mathematics[remove]28

Advisor

Arnold, B. H.2
Goheen, Harry2
Stalley, Robert D.2
Ballantine, C. S.1
Blakemore, Paul R.1
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Commencement Year

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Current results range from 1948 to 2013

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Committee Member

Bogley, William A.1
Burton, Bob1
Escher, Christine M.1
Evans, Glenn1
Flahive, Mary E.1
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Creator

Andrews, George E., 1938 1
Beecroft, James Lewis1
Bills, Gary Royce1
Bland, Steven Andrew1
Bradford, Kyle B.1
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Date

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Current results range from 1948 to 2013

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Decade

2010-20194
2000-20091
1980-19893
1970-19793
1960-196915
1950-19591
1940-19491

Degree Field

Mathematics28

Degree Level

Master's21
Doctoral7

Degree Name

Master of Science (M.S.)15
Doctor of Philosophy (Ph.D.)7
Master of Arts (M.A.)6

Language

English [eng]28

License

All rights reserved3

Non-Academic Affiliation

Oregon State University. Graduate School26

Peer Reviewed

No[remove]28

Resource Type

Masters Thesis19
Dissertation7
Capstone Project2

Rights Statement

Copyright Not Evaluated23
In Copyright5

Subject

Arithmetic -- Foundations2
Chebyshev polynomials2
Convex bodies2
Matrices2
Topology2
more Subjects »

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