Class Groups of Number Fields and Related Topics

1. A Geometric Approach to Large Class Groups: A Survey.- 2. On Simultaneous Divisibility of the Class Numbers of Imaginary Quadratic Fields.- 3. Thue Diophantine Equations: A Survey.- 4. A Lower Bound for the Class Number of Certain Real Quadratic Fields.- 5. A Survey of Certain Euclidean Number Fields.- Divisibility of Class Number of a Real Cubic or Quadratic Field and Its Fundamental Unit.- 6. Heights and Principal Ideals of Certain Cyclotomic Fields.- 7. Distribution of Residues Modulo p using the Dirichlet's Class Number Formula.- 8. On the Class Number Divisibility of Number Fields and Points on Elliptic Curves.- 9. Small Fields with Large Class Numbers.- 10. On the Kummer-Vandiver Conjecture: An Extended Abstract.- 11. Cyclotomic Numbers and Jacobi Sums: A Survey.- 12. On Lebesgue-Ramanujan-Nagell Type Equations.- 13. Partial Zeta Values and Class Numbers of R-D Type Real Quadratic Fields.- 14. A Pair of Quadratic Fields with Class Number Divisible by 3.

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• Grupos e teoria do grupo
• Cálculo diferencial e equações
• Teoria dos números
• Álgebra

Class Groups of Number Fields;Ranks of Class Groups;Class Numbers of Number Fields;Elliptic Curves;Diophantine Equations;Kummer-Vandiver Conjecture;Diophantine Geometry;ordinary differential equations