Modifications of thomae's function and differentiability

American Mathematical Monthly

Volumn 116, Issue 6, 2009, Pages 531-535

  Beanland, Kevin ^a   Roberts, James W ^a   Stevenson, Craig ^b  

^a VIRGINIA COMMONWEALTH UNIVERSITY   (United States)

^b UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650508239     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.4169/193009709X470425     Document Type: Article

References (9)

1. S. Abbot, Understanding Analysis. Springer, Berlin, 2001.
2. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., Oxford University Press, London, 1960.
3. M. Hata, Legendre type polynomials and irrationality measures. J. Reine Angew. Math. 407(1990) 99-125.
4. Rational approximations to n and some other numbers. Acta Arith. 63(1993) 335-349.
5. G. Rhin and C. Viola, The group structure for f (3). Acta Arith. 97(2001) 269-293.
6. On a permutation group related to f (2). Acta Arith. 77(1996) 23-56.
7. K. F. Roth, Rational approximations to algebraic numbers. Mathematika 2 (1955) 1-20.
8. E. A. Rukhadze, A lower bound for the rational approximation of In 2 by rational numbers. (In Russian) Vestnik Moskov Univ. Ser. I Math. Mekh. 6 (1987) 25-29,97.
9. J. D. Sally and P. J. Sally, Roots to Research. A Vertical Development of Mathematical Problems. American Mathematical Society, Providence, RI, 2007.