AbstractThe theorem presented in this paper provides a sufficient condition for the divisibility of the class number of an imaginary quadratic field by an odd prime. Two corollaries to this theorem are also included. They represent special cases of the theorem which in general use are somewhat easier to apply
We give a necessary condition for an imaginary quadratic field to have exponent less than or equal t...
For a given odd integer n>1, we provide some families of imaginary quadratic number fields of the f...
AbstractWe employ a type number formula from the theory of quaternion algebras to gain information o...
AbstractThe theorem presented in this paper provides a sufficient condition for the divisibility of ...
We will prove a theorem providing sufficient condition for the divisibility of class numbers of cert...
AbstractThe goals of this paper are to provide: (1) sufficient conditions, based on the solvability ...
Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime num...
Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime num...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
AbstractLet d, d1, d2 ϵ N be square free with d=d1d2, and let h(-d) and IK denote the class number a...
AbstractThis paper proves the existence of infinitely many imaginary quadratic fields whose class nu...
Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime num...
We prove the existence of infinitely many imaginary quadratic fields whose discriminant has exactly ...
AbstractWe prove a congruence modulo a certain power of 2 for the class numbers of the quadratic fie...
We give a necessary condition for an imaginary quadratic field to have exponent less than or equal t...
We give a necessary condition for an imaginary quadratic field to have exponent less than or equal t...
For a given odd integer n>1, we provide some families of imaginary quadratic number fields of the f...
AbstractWe employ a type number formula from the theory of quaternion algebras to gain information o...
AbstractThe theorem presented in this paper provides a sufficient condition for the divisibility of ...
We will prove a theorem providing sufficient condition for the divisibility of class numbers of cert...
AbstractThe goals of this paper are to provide: (1) sufficient conditions, based on the solvability ...
Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime num...
Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime num...
summary:Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fie...
AbstractLet d, d1, d2 ϵ N be square free with d=d1d2, and let h(-d) and IK denote the class number a...
AbstractThis paper proves the existence of infinitely many imaginary quadratic fields whose class nu...
Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime num...
We prove the existence of infinitely many imaginary quadratic fields whose discriminant has exactly ...
AbstractWe prove a congruence modulo a certain power of 2 for the class numbers of the quadratic fie...
We give a necessary condition for an imaginary quadratic field to have exponent less than or equal t...
We give a necessary condition for an imaginary quadratic field to have exponent less than or equal t...
For a given odd integer n>1, we provide some families of imaginary quadratic number fields of the f...
AbstractWe employ a type number formula from the theory of quaternion algebras to gain information o...
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