Cauchy means for signed measures.

Anwar, M.; Pecaric, J.

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A. Sankaranarayanan, K. Srinivas (1992)

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An extension of Stolarsky means.

Simić, Slavko (2008)

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Integer sequences, functions of slow increase, and the Bell numbers.

Jakimczuk, Rafael (2011)

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On $(p, q)$ -th order of a function of two complex variables analytic in the unit polydisc

Ratan Kumar Dutta (2012)

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Commutative rings of differential operators connected with two-dimensional Abelian varieties.

Mironov, A.E. (2000)

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Soulé, Christophe (2003)

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Explicit lower bounds for linear forms in two logarithms

Nicolas Gouillon (2006)

Journal de Théorie des Nombres de Bordeaux

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We give an explicit lower bound for linear forms in two logarithms. For this we specialize the so-called Schneider method with multiplicity described in []. We substantially improve the numerical constants involved in existing statements for linear forms in two logarithms, obtained from Baker’s method or Schneider’s method with multiplicity. Our constant is around $5 . 10^{4}$ instead of $10^{8}$ .

On zeta-functions associated to certain cusp forms. I

A. Laurinčikas, J. Steuding (2004)

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In the paper the asymptotics for Dirichlet polynomials associated to certain cusp forms are obtained.

Mean value of Piltz' function over integers free of large prime factors.

Nyandwi, Servat (2003)

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On Robin’s criterion for the Riemann hypothesis

YoungJu Choie, Nicolas Lichiardopol, Pieter Moree, Patrick Solé (2007)

Journal de Théorie des Nombres de Bordeaux

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Robin’s criterion states that the Riemann Hypothesis (RH) is true if and only if Robin’s inequality $σ (n) : = \sum_{d | n} d < e^{γ} n log log n$ is satisfied for $n \geq 5041$ , where $γ$ denotes the Euler(-Mascheroni) constant. We show by elementary methods that if $n \geq 37$ does not satisfy Robin’s criterion it must be even and is neither squarefree nor squarefull. Using a bound of Rosser and Schoenfeld we show, moreover, that $n$ must be divisible by a fifth power $> 1$ . As consequence we obtain that RH holds true iff every natural number divisible by...