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On the Gram's Law in the Theory of Riemann Zeta Function
the Gram's Law in the Theory Riemann Zeta Function
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2010/11/23
Some statements concerning the distribution of imaginary parts of zeros of the Riemann zeta\,-function are established. These assertions are connected with so\,-called `Gram's law' or `Gram's rule'. I...
A generalisation of an expansion for the Riemann zeta function involving incomplete gamma functions
Zeta function Incomplete gamma functions
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2010/9/17
We derive an expansion for the Riemann zeta function ζ(s) involving incomplete gamma functions with their second argument proportional to n2p, where n is the summation index and p is a positive intege...
New Inequalities Involving the Zeta Function
Euler's zeta function Zeta function inequality Approximation of the zeta function at odd integral values Bounds
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2008/6/30
Inequalities involving the Euler zeta function are proved. Applications of the inequalities in estimating the zeta function at odd integer values in terms of the known zeta function at even integer va...