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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 21 for “"Fermat"”.
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$\textit{K}$-Theory of Fermat Curves
… investigate the $K_2$ groups of the quotients of Fermat curves given in projective coordinates by the equation $F_n:X^n+Y^n=Z^n$. On any quotient where the number of known elements is equal to the rank predicted by Beilinson’s Conjecture I verify numerically that the determinant of the matrix of …
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The Fermat equation over quadratic fields
… attempt to generalize some of Kummer's work on Fermat's Last Theorem over the rational numbers to quadratic fields. In particular, under certain congruence conditions it is shown that the Fermat equation of exponent p has no solution over Q(√m) when p is a m-regular prime. Completely analogous …
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Solutions of the Cubic Fermat Equation in Quadratic Fields
… a squarefree integer $d$. In this variation of Fermat's Last Theorem, it is possible for nontrivial solutions to exist in $\mathbb{Q}(\sqrt{d})$ for some choices of $d$, but not for all. Our argument assumes the Birch and Swinnerton-Dyer conjecture and follows a similar argument as Tunnell's …
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Class Field Theory and the Theory of n-Fermat Primes
Most problems in number theory are exceedingly simple to state, yet many continue to elude mathematicians even centuries after they were originally posed. Such
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Το πρόβλημα Fermat-Torricelli και ένα αντίστροφο πρόβλημα στο Κ-επίπεδο και σε κλειστά πολύεδρα του R^3
Το πρόβλημα Fermat-Torricelli για n μη συγγραμμικά σημεία με βαρύτητες στον R^3 (b.FT) διατυπώνεται ως εξής: Δοθέντος n μη συγγραμμικών σημείων στον R^3 να βρεθεί ένα σημείο το οποίο ελαχιστοποιεί το άθροισμα των αποστάσεων με θετικές βαρύτητες του σημείου αυτού από τα n δοσμένα σημεία. Το …
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Arithmetic Differential Subgroups of GL_{n}
… the derivative operator replaced by the Fermat quotient operator' and differential equations are replaced by arithmetic differential equations. The main result presented in the thesis will be the study of a very special class of arithmetic subgroups of GL_n. We also introduce a set of …
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Métodos de fatoração de números inteiros
… métodos elementares serão estudados: o método de Fermat e os métodos Rho e p - 1 de Pollard. A seguir, os dois mais poderosos métodos de fatoração para inteiros sem forma especial: o método de curvas elípticas, e o método de peneira quadrática, os quais tomam como base os métodos p - 1 e de …
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An Algebraic Circle Method
… to estimate the number of rational curves in a Fermat hypersurface of low degree and some suggestions are given as to how to handle other cases. We draw geometrical consequences from the main estimates, for instance the irreducibility of the space of rational curves on a Fermat hypersurface in a …
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Permeability and strength of artificially controlled porous media
… were simulated, namely random, cubic and Fermat. Strength and Permeability analysis were performed separately.;The cubic array arrangement of inclusions exhibits high permeability and low stress concentration. The random array exhibits low permeability and high stress concentrations. …
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Historic development of prime numbers
… more modern prime number theory from Gauss, Fermat, Legendre, and Riemann.
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Fermat's conjecture and the factorization of F[subscript 7]
<p>In 1640, Pierre de Fermat conjectured that numbers of the form F[subscript n] = 2²[superscript n]+1 are prime for. all n = 0, 1, . 2, 3, . . It is easy to establish the .validity of . this conjecture for n < 5. Fermat's idea was generally accepted as true until 1732 when Leonhard Euler …
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Putting Fürer's Algorithm into Practice with the BPAS Library
… Z/pZ, which characteristic is a Generalized Fermat prime of the form p = r^k + 1 where k is a power of 2 and r is of machine word size. When k is at least 8, we show that multiplication inside such a prime field can be efficiently implemented via Fast Fourier Transform (FFT). Taking advantage …
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Real Algebraic Geometry of the Sextic Curves
… for a conjecture on the algebraic degree of the Fermat-Weber point over the field of rational numbers.
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ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ ΚΑΙ ΚΥΚΛΟΤΟΜΙΑ-ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ ΤΗΣ ΜΟΡΦΗΣ Χ + (Χ+1)
… THE FOLLOWING FAMILY OF DIOPHANTINE EQUATIONS OF FERMAT TYPE: (FK) X2- 2Y2=2K2-1, K=0,1,2,... . THUS THE STUDY OF EQUATION (*) IS REDUCED TO THE STUDY OF THE FAMILY OF EQUATIONS (FK) IN TERMS OF GAUSS TYPE TRANSFORMATIONS. FINALLY, ALL COMPOSITE NUMBERS OF THE FORM X2+(X+1)2 ARE DETERMINED IN …
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Program Transformations for Vulnerability Detection in Binary Executable Files
… the abundant transformation techniques such as FermaT transformation system within Wide Spectrum Language (WSL) program. This research highlights a novel approach and contribution for the extension of existing WSL to enhance its vulnerability detection capabilities using two techniques namely: …
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A wide spectrum type system for transformation theory
… increases drastically over time. The FermaT transformation system has shown the ability to automatically or semi-automatically restructure and abstract legacy code within a special intermediate language called WSL (Wide Spectrum Language). Unfortunately, the current transformation …
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Intelligent control and path planning for unmanned aerial vehicles
… stag-hunt and Nash-Stackelberg games. Next, the Fermat-Weber location is integrated into PSO algorithms aiming at reaching global optimal solutions. Experimental tests on a group of three UAVs confirm the advantages of the proposed approach in practical applications. Finally, the thesis presents …
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D-branes on Calabi-Yau Spaces
… of these two descriptions for the class of Fermat hypersurfaces in weighted projective spaces. We explicitly carry out the comparison in many representative examples. Among them are manifolds admitting elliptic and K3-fibrations and manifolds whose moduli space can be embedded into the …
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Conformal Boundaries, SPTs, and the Monopole-Fermion Problem
… we expect to have an interpretation in terms of Fermat curves. Our results agree with other works that appeared around the same time where they overlap.
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