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Science:
Math:
Number_Theory:
Publications:
Theses:
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Algebraic Curves, Riemann Hypothesis and Coding
- Presents an essay which shows the usefulness of studying algebraic curves over finite fields. Includes photos and related links.
Algorithmic Solution of Diophantine Equations
- Information includes Baker's theory of linear forms in logarithms. With details on polynomial identities.
Computations on Diagonal Quartic Surfaces
- Provides downloads of the various bits of data and implementations of algorithms. With a study on the computations on diagonal quartic surface.
Explicit Approaches to Modular Abelian Varieties
- Presents information about the author, downloads, and location. Also shows an article written by the author.
Fast Arithmetic on Hyperelliptic Curves
- Provides information about the detailed preprint dealing with arbitrary genus and characteristics. Also shows preprint archives.
Finiteness Results for Diophantine Equations Involving Polynomial Families
- Includes information about the fixed rational numbers and polynomials of fixed degrees. With a year of publication.
Galois Groups and Greenberg's Conjecture
- Provides a large class of examples of cyclotomic fields. With downloads and contact information.
On a Certain Ratio of Petersson Norms and Level-lowering Congruences
- Provides some of the articles of the author. With its main research interest, which is the study of special values.
On the Estimates of the Measure of Linear Independence for Values of Certain Analytical Functions
- Presents a discussion on the measure of irrationality for the values of E and G functions. Includes references and location.
Online Theses in Number Theory
- Presents a list of theses from 1990 to 2006, with respective authors and their locations.
Slopes of Overconvergent Modular Forms
- Provides an abstract to the authors thesis. With sample calculations and formulas.
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