New Prime-Producing Quadratic Polynomials Associated with Class Number One or Two
نویسنده
چکیده
This article provides necessary and sufficient conditions for a real quadratic field to have class number one or two in terms of a new set of primeproducing quadratic polynomials
منابع مشابه
Quadratic polynomials producing consecutive, distinct primes and class groups of complex quadratic fields
1. Introduction. For centuries there has been a fascination with prime-producing quadratic polynomials. We will describe the relationship between such polynomials and class groups of complex quadratic fields with exponent 1 or 2. In Section 2, we set up the notation and preliminaries including a consequence of a result which we proved in [15], namely Theorem 2.3. We illustrate how all the conse...
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