“…Corollary 4.3. For any odd prime p ≥ 3, there exist infinitely many imaginary bi-quadratic fields whose class number is divisible by p. [32] generalized Theorem 4.2, and proved the following three results.…”
Section: Divisibility Of Class Numbers Of An Infinite Family K Xynµmentioning
confidence: 97%
“…Krishnamoorthy and Pasupulati [33] proved the particular case of this conjecture. Given any odd n, using Theorem 4.4 Krishnamoorthy and Muneeswaran [32] produced infinitely many…”
For any odd prime p, we construct an infinite family of imaginary quadratic fields whose class numbers are divisible by p. We give a corollary that settles Iizuka’s conjecture for the case n=1 and p>2.
“…Corollary 4.3. For any odd prime p ≥ 3, there exist infinitely many imaginary bi-quadratic fields whose class number is divisible by p. [32] generalized Theorem 4.2, and proved the following three results.…”
Section: Divisibility Of Class Numbers Of An Infinite Family K Xynµmentioning
confidence: 97%
“…Krishnamoorthy and Pasupulati [33] proved the particular case of this conjecture. Given any odd n, using Theorem 4.4 Krishnamoorthy and Muneeswaran [32] produced infinitely many…”
For any odd prime p, we construct an infinite family of imaginary quadratic fields whose class numbers are divisible by p. We give a corollary that settles Iizuka’s conjecture for the case n=1 and p>2.
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