Results 31 to 40 of about 845 (61)
A generalisation of an expansion for the Riemann zeta function involving incomplete gamma functions [PDF]
, 2009 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 integer.
Paris, Richard B.
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Extreme values of the Dedekind $\Psi$ function
, 2011 Let $\Psi(n):=n\prod_{p | n}(1+\frac{1}{p})$ denote the Dedekind $\Psi$ function. Define, for $n\ge 3,$ the ratio $R(n):=\frac{\Psi(n)}{n\log\log n}.$ We prove unconditionally that $R(n)< e^\gamma$ for $n\ge 31.$ Let $N_n=2...p_n$ be the primorial of ...
Planat, Michel, Solé, Patrick
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Extreme values of derivatives of the Riemann zeta function. [PDF]
Mathematika, 2022 Yang D.
europepmc +1 more source
An Ap\'ery-like difference equation for Catalan's constant
, 2002 Applying Zeilberger's algorithm of creative telescoping to a family of certain very-well-poised hypergeometric series involving linear forms in Catalan's constant with rational coefficients, we obtain a second-order difference equation for these forms ...
Zudilin, Wadim
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Upper bounds for the moments of derivatives of Dirichlet L-functions
Open Mathematics, 2014 Sono Keiju
doaj +1 more source
On the riemann zeta-function and the divisor problem II
Open Mathematics, 2005 Ivić Aleksandar
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Epigenetic Dysregulation Observed in Monosomy Blastocysts Further Compromises Developmental Potential. [PDF]
PLoS One, 2016 Denomme MM +4 more
europepmc +1 more source
On the riemann zeta-function and the divisor problem
Open Mathematics, 2004 Ivić Aleksandar
doaj +1 more source
On some problems involving Hardy’s function
Open Mathematics, 2010 Ivić Aleksandar
doaj +1 more source