منابع مشابه
New Criteria for Existence of a Class of Generalized Euler-types Constants
One of the most important mathematical constants is Euler-Mascheroni constant that is the limit of the sequence -------------------------------- and is denoted by gamma. Some other developed constants known as Euler type constants are introduced in order to generalize the above constant. In the present paper, inspired by the functional sequence derivative of the limit summand of functions (i...
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A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials
In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the integral equation into a system of equations. The computed operational matrices are exact and new. The comparisons show this method is acceptable. Moreover, the stability of the proposed method is studied.
متن کاملGeneralized Euler constants 3
We study the distribution of a family {γ(P)} of generalized Euler constants arising from integers sieved by finite sets of primes P . For P = Pr, the set of the first r primes, γ(Pr)→ exp(−γ) as r →∞. Calculations suggest that γ(Pr) is monotonic in r, but we prove it is not. Also, we show a connection between the distribution of γ(Pr) − exp(−γ) and the Riemann hypothesis.
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We define a family {γ(P)} of generalized Euler constants indexed by finite sets of primes P and study their distribution. An apparent monotonicity is investigated.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2008
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa131-2-2