The class number of ${\mathbb {Q}}(\sqrt{-pq})$ for a congruent number pq

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发表日期：

2025年5月8日

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Shamik Das,
Anupam Saikia

摘要

We prove a divisibility result for the class number of the imaginary quadratic field ${\mathbb {Q}}(\sqrt{-pq})$ $Q (\sqrt{- p q})$ , where p and q are distinct primes satisfying $(p,q ) \equiv (5,7)$ $(p, q) \equiv (5, 7)$ modulo 8 and pq is a congruent number.

The class number of \({\mathbb {Q}}(\sqrt{-pq})\) for a congruent number pq

摘要