素数生成二次多项式

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2023-06-26 DOI:10.33044/revuma.2571

Víctor Julio Ramírez Viñas

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引用次数: 0

摘要

.设a，b，c为整数。我们为函数|ax2+bx+c|只生成连续整数的素数提供了一个必要条件。然后，我们应用这个准则给出了实二次域K=Q（√d），d∈N具有类号1的充分条件，就素数生成二次多项式而言。

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Prime-generating quadratic polynomials

. Let a,b,c be integers. We provide a necessary condition for the function | ax 2 + bx + c | to generate only primes for consecutive integers. We then apply this criterion to give sufficient conditions for the real quadratic field K = Q ( √ d ), d ∈ N , to have class number one, in terms of prime-producing quadratic polynomials.

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.