Scharen quadratischer Zahlkörper mit gleichgebauten Einheiten
Selberg zeta functions with virtual characters and the class number
Séries d'Eisenstein et fonctions L de courbes elliptiques à multiplication complexe.
Sieve methods and class-number probelms. II.
Sieve methods and class-number problems. I.
Sieve methods and class-number problems III.
Signatures of units and congruences (mod 4) in certain real quadratic fields. II.
Signatures of units and congruences (mod 4) in certain real quadratic fields.
Simple zeros of the zeta function of a quadratic number field. I.
Singular Moduli, Modular Polynomials, and the Index of the Closure of Z [j (...)] in Q (j(...)).
Small discriminants of complex multiplication fields of elliptic curves over finite fields
We obtain a conditional, under the Generalized Riemann Hypothesis, lower bound on the number of distinct elliptic curves over a prime finite field of elements, such that the discriminant of the quadratic number field containing the endomorphism ring of over is small. For almost all primes we also obtain a similar unconditional bound. These lower bounds complement an upper bound of F. Luca and I. E. Shparlinski (2007).
Small values of zeta-functions of quadratic fields.
Solution du problème du dixième discriminant
Solutions of cubic equations in quadratic fields
Let K be any quadratic field with its ring of integers. We study the solutions of cubic equations, which represent elliptic curves defined over ℚ, in quadratic fields and prove some interesting results regarding the solutions by using elementary tools. As an application we consider the Diophantine equation r+s+t = rst = 1 in . This Diophantine equation gives an elliptic curve defined over ℚ with finite Mordell-Weil group. Using our study of the solutions of cubic equations in quadratic fields...
Solving the equation x3 - y2 = r in number fields.
Some euclidean properties for real quadratic fields
Some Recent Developments in three Classical Problems of Number Theory.
Some remarks on L-functions and class numbers
Sommes de carrés, fonctions L et formes modulaires.
Structure galoisienne des anneaux d'entiers des extensions abéliennes d'un corps quadratique imaginaire