在小于一个指数的欧拉积上

IF 0.6 Q3 MATHEMATICS

Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-07-01 DOI:10.2478/ausm-2020-0013

G. Román

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引用次数: 0

摘要

摘要研究了质数上ℿp≤n(1±1/ps)乘积的性质，在此条件下，固定s∈，并使n≥2的自然界向正无穷增长。这些产品的性质对于s≥1的情况是已知的。我们得到了s∈[1/2,1)时的近似，进一步得到了s<1/2时的不同观测值。

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On Euler products with smaller than one exponents

Abstract Investigation has been made regarding the properties of the ℿp≤n (1 ± 1/ps) products over the prime numbers, where we fix the s ∈ ℝ exponent, and let the n ≥ 2 natural bound grow toward positive infinity. The nature of these products for the s ≥ 1 case is known. We get approximations for the case when s ∈ [1/2, 1), furthermore different observations for the case when s<1/2.

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