Irrationality and codes

1. P.-G. Becker,Exponential diophantine equations and the irrationality of certain real numbers, J. Number Theory39 (1991), 108–116.

   Article  MATH  MathSciNet  Google Scholar 

2. P.-G. Becker,Automatische Folgen und Transzendenz in positiver Charakteristik, Arch. Math.61 (1993), 68–74.

   Article  MATH  Google Scholar 

3. P. Bundschuh,Generalization of a recent irrationality result of Mahler, J. Number Theory19 (1984), 248–253.

   Article  MATH  MathSciNet  Google Scholar 

4. G.H. Hardy, E.M. Wright, “An introduction to the theory of numbers,” Oxford University Press, Oxford, 1938.

   Google Scholar 

5. G. Lallement, “Semigroups and combinatorial application”, John Wiley and Sons, New York, 1979.

   Google Scholar 

6. K. Mahler,Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Ann.101 (1929), 342–366.

   Article  MathSciNet  Google Scholar 

7. K. Mahler,On a class of transcendental decimal fractions, Comm. Pure Appl. Math.29 (1976), 717–725.

   MATH  MathSciNet  Google Scholar 

8. K. Mahler,On some irrational decimal fractions, J. Number Theory13 (1981), 268–269.

   Article  MATH  MathSciNet  Google Scholar 

9. H. Niederreiter,On an irrationality theorem of Mahler and Bundschuh, J. Number Theory24 (1986), 197–199.

   Article  MATH  MathSciNet  Google Scholar 

10. J.W. Sander,Irrationality criteria for Mahler's numbers, to appear in J. Number Theory.

11. T. Schneider, “Einfürhrung in die transzendenten Zahlen,” Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957.

    Google Scholar 

12. Z. Shan,A note on irrationality of some numbers, J. Number Theory25 (1987), 211–212.

    Article  MATH  MathSciNet  Google Scholar 

13. Z. Shan, E.T.H. Wang,Generalization of a theorem of Mahler, J. Number Theory32 (1989), 111–113.

    Article  MATH  MathSciNet  Google Scholar 

Download references