Results 21 to 30 of about 84 (68)
Integral points on moduli schemes of elliptic curves
Transactions of the London Mathematical Society, Volume 1, Issue 1, Page 85-115, 2014., 2014 We combine the method of Faltings (Arakelov, Paršin, Szpiro) with the Shimura–Taniyama conjecture to prove effective finiteness results for integral points on moduli schemes of elliptic curves. For several fundamental Diophantine problems, such as for example S‐unit and Mordell equations, this gives an effective method which does not rely on ...
Rafael von Känel
wiley +1 more source
Units in families of totally complex algebraic number fields
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 45, Page 2383-2400, 2004., 2004 Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number fields of degrees four, six, and eight.
L. Ya. Vulakh
wiley +1 more source
Integral zeroes of Krawtchouk polynomials [PDF]
, 2012 This thesis was submitted for the degree of Master of Philosophy and awarded by Brunel University.Krawtchouk polynomials appear in many various areas of mathematics starting from discrete mathematics (e.g., in coding theory), association schemes, and in ...
Alenezi, Ahmad M
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Fortschritte der Physik, Volume 72, Issue 5, May 2024.Abstract The diffeomorphism class of simply connected smooth Calabi‐Yau threefolds with torsion‐free cohomology is determined via certain basic topological invariants: the Hodge numbers, the triple intersection form, and the second Chern class.
Aditi Chandra +4 more
wiley +1 more source
Approximation Constants for Closed Subschemes of Projective Varieties [PDF]
, 2019 Diophantine approximation is a branch of number theory with a long history, going back at least to the work of Dirichlet and Liouville in the 1840s. The innocent-looking question of how well an arbitrary real algebraic number can be approximated by ...
Rollick, Nickolas
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Indices dans les corps de nombres et leurs applications
, 2018 Dans la première partie de cette thèse, on considère les extensions cycliques simples Km/Q de degré 4. Ces dernières sont les extensions quartiques définies par les polynômes irréductibles x⁴-mx³-6x²+mx+1, où m est un entier tel que la partie impaire ...
Seddik, Mohammed
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Computing all integer solutions of a genus 1 equation
The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
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Asymptotically counting points of bounded height [PDF]
, 2008 Widmer, Martin Lucien
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The Classification of Monogenic Quartic Orders via Diophantine Equations
In this study, we will focus on classifying quartic monogenic orders based ontwo algebraic relations. First, we introduce index forms and study the connection between the solution set of particular index form equations and the monogenizations type of ...
Shumaker, Jaxon
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"Rotterdam econometrics": publications of the econometric institute 1956-2005
This paper contains a list of all publications over the period 1956-2005, as reported in the Rotterdam Econometric Institute Reprint series during 1957-2005.
Wagelmans, A.P.M. +2 more
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