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Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values
Bell polynomials Euler's constant zeta values
2010/11/22
In this paper, we present new explicit simultaneous rational approximations converging sub-exponentially to the values of Bell polynomials at the points of the form $(\gamma, 1! (2a+1)\zeta(2), 2!\zet...
Exponents for three-dimensional simultaneous Diophantine approximations
three-dimensional simultaneous Diophantine approximations
2010/11/30
Let = (1, 2, 3) ∈ R3. Suppose that 1, 1, 2, 3 are linearly independent over Z.