Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 25 for “"divisibility"”.
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Divisibility Conditions for Fibonomial Coefficients
… the triangle has a recurring structure under divisibility by five. While this result is not new, our method of proof is new and suggests a theorem relating the divisibility by a general prime $p$ of a fibonomial coefficient to the divisibility by $p$ of a product of fibonomial coefficients in …
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Semantics and phonology in syntax
… which is affected by the semantic property of divisibility. I argue that the property of divisibility, which is relevant for case alternation, is determined within Spell-out domains, which are interpreted immediately following Spell-out. Building on these domains as affecting case marking, I …
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On the interaction of portmanteaux and ellipsis
… It focuses on two patterns: elliptical indivisibility, and elliptical divisibility. Elliptical indivisibility is exemplified by the Hungarian portmanteau negative 3rd person indicative copula, which gets pronounced in its entirety even when the ellipsis site is thought to contain the …
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The Divisibility and Modular Properties of Kth-Order Linear Recurrences Over The Ring of Integers of an Algebraic Number Field With Respect to Prime Ideals
Let K be an algebraic number field and R its ring of integers. Let k (GREATERTHEQ) 2 and let (w) be a kth-order linear recurrence over R satisfying the recursion relation (1) w(,n+k) = a(,1)w(,n+k-1) + a(,2)w(,n+k-2) +...+ a(,k)w(,n). Those recurrences (u) satisfying (1) for which u(,0) = u(,1) …
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Kompiuteriniai skaičiavimai kai kurioms sekoms ir polinomams /
In this thesis we will consider divisibility properties of some recurrent sequences, Newman polynomials and computer calculations in those and related questions of number theory.
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Stickelberger Elements and Gross-Stark Units via Adelic Eisenstein Classes
… which enables us to establish novel divisibility properties of Stickelberger elements associated with abelian extensions of totally real fields. As an additional application, we obtain a cohomological formula for Gross-Stark units, akin to the one previously provided by Dasgupta and …
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On Multiplication Groups of Quasigroups
<p>Quasigroups are algebraic structures in which divisibility is always defined. In this thesis we investigate quasigroups using a group-theoretic approach. We first construct a family of quasigroups which behave in a group-like fashion. We then focus on the multiplication groups of quasigroups, …
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Connecting Number Theory with High School Mathematics
… least common multiple, factorization and divisibility criteria (divisible by 2, 3, 4, 5, 6, 8, 9, and 11). We hope that learning these contents could foster students’ interests in mathematics and help them develop computational and reasoning skills.</p>
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Combinatorial enumeration of weighted Catalan numbers
This thesis is devoted to the divisibility property of weighted Catalan and Motzkin numbers and its applications. In Chapter 1, the definitions and properties of weighted Catalan and Motzkin numbers are introduced. Chapter 2 studies Wilf conjecture on the complementary Bell number, the alternating …
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Quantum Stochastic Processes and Quantum Many-Body Physics
… complexity of certain quantum and classical divisibility questions, whereas the second one addresses the topic of Hamiltonian complexity theory. In the divisibility part, we discuss the question whether one can efficiently sub-divide a map describing the evolution of a system in a noisy …
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Representations of Fundamental Groups of Abelian Varieties in Characteristic P
… the polynomial. In the last chapter we prove a divisibility theorem about the number of homomorphisms from certain semidirect products of profinite groups into finite groups. As a corollary, we deduce that when $\lambda=0$, \[\frac{\#\Hom(\pi_1^{\text{\'et}}(A_g),GL_n(\mathbb …
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Prime Rational Functions and Integral Polynomials
… of complex polynomials. We consider also the divisibility of integral polynomials, and we present a generalization of a theorem of Nieto. We show that if f(x) and g(x) are integral polynomials such that the content of g divides the content of f and g(n) divides f(n) for an integer n whose …
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Power Integral Points on Elliptic Curves
… In particular we look at the denominator divisibility sequences (Bn) formed by Mordell elliptic curves ED : y2 = x3+D. For the curve-point pair (E−2, P), where E−2 : y2 = x3 −2, and P = (3, 5) is a nontorsion point, we prove that no term Bn is a perfect 5th power, and we give the explicit …
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Combinatorial Properties of the Hilbert Series of Macdonald Polynomials
… are used to prove a series of recursions and divisibility properties for F̃<sub>μ</sub>.
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Combinatorial aspects of synchronisation, percolation, and arithmetic
… with how efficiently one can encode the divisibility order. The dimension of a partially-ordered set $P$ is the smallest integer $d$ such that one can embed $P$ into a product of $d$ linear orders. We prove that the dimension of the divisibility order on the interval $\{1, \dotsc, n\}$ is …
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Across the great divide : chimeras and species boundaries
… accepted and comfortable ideas about the divisibility of the animal and human worlds. Can human-animal chimeras be made? Activists Stuart Newman and Jeremy Rifkin have filed a patent application for human-animal chimeras, such as the humanzee, to protest patents on all life forms. Newman …
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Viewing extremal and structural problems through a probabilistic lens
… surely, provided we have the obvious necessary divisibility conditions. In 1988, Thomassen showed that if $G$ is at least $(2k-1)$-edge-connected then $G$ has a spanning, bipartite $k$-connected subgraph. In 1989, Thomassen asked whether a similar phenomenon holds for vertex-connectivity; more …
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Moments Of Products Of L-Functions
… exist whose successive gaps follow a certain divisibility pattern. Finally, for any coprime integers a and D ≥ 1, we refine a theorem of D. Shiu and find strings of consecutive primes of arbitrary length in the congruence class a mod D. These results were proved jointly with William D. Banks …
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Questions and conjectures about multinomial coefficients
… some of the questions in Dr. Bachman's paper "On Divisibility Properties of Certain Multinomial Coefficients". First we let {ai} be any sequence (finite or infinite) of positive integers such that i1ai ≤1 . It is clear that n!&sqbl0;na1 &sqbr0;!&sqbl0;na2&sqbr0; !&sqbl0;na3&sqbr0;!&ldots; is an …
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