On the papers of Ramachandra and Kátai

A. Sankaranarayanan; K. Srinivas

Displaying similar documents to “On the papers of Ramachandra and Kátai”

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

Mironov, A.E. (2000)

Siberian Mathematical Journal

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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)

Kragujevac Journal of Mathematics

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On zeta-functions associated to certain cusp forms. I

A. Laurinčikas, J. Steuding (2004)

Open Mathematics

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

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

Jakimczuk, Rafael (2011)

Journal of Integer Sequences [electronic only]

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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 the $(p, q)$ -growth of entire function solutions of Helmholtz equation.

Kumar, Devendra (2011)

The Journal of Nonlinear Sciences and its Applications

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A bound for the torsion in the $K$ -theory of algebraic integers.

Soulé, Christophe (2003)

Documenta Mathematica

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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...

An extension of Stolarsky means.

Simić, Slavko (2008)

Novi Sad Journal of Mathematics

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