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math.NT2020
Are the Stieltjes constants irrational? Some computer experiments
Krzysztof D. Maslanka, Marek Wolf
Khnichin's theorem is a surprising and still relatively little known result. It can be used as a specific criterion for determining whether or not any given number is irrational. I…
math.NT2006★ 2 cited
Báez-Duarte's Criterion for the Riemann Hypothesis and Rice's Integrals
Krzysztof Maslanka
Criterion for the Riemann hypothesis found by Báez-Duarte involves certain real coefficients defined as alternating binomial sums. These coefficients can be effective…
math.NT2004★ 12 cited
Effective method of computing Li's coefficients and their properties
Krzysztof Maslanka
In this paper we present an effective method for computing certain real coefficients which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the…