Mahler, Kurt Some suggestions for further research. (English) Zbl 0517.10001 Bull. Aust. Math. Soc. 29, 101-108 (1984). Reviewer: L. Kuipers Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 ReviewsCited in 41 Documents MSC: 11-02 Research exposition (monographs, survey articles) pertaining to number theory Keywords:problem collection; Liouville numbers; Cantor set; nonlinear functional equation; Fourier coefficients of modular forms; functions algebraic at algebraic points; second order Farey polynomials PDFBibTeX XMLCite \textit{K. Mahler}, Bull. Aust. Math. Soc. 29, 101--108 (1984; Zbl 0517.10001) Full Text: DOI References: [1] DOI: 10.1112/plms/s3-5.3.358 · Zbl 0065.28002 · doi:10.1112/plms/s3-5.3.358 [2] DOI: 10.1007/BF01449488 · JFM 35.0407.01 · doi:10.1007/BF01449488 [3] DOI: 10.1016/0022-314X(71)90010-2 · Zbl 0221.10014 · doi:10.1016/0022-314X(71)90010-2 [4] DOI: 10.1112/jlms/s1-15.1.32 · Zbl 0026.19901 · doi:10.1112/jlms/s1-15.1.32 [5] Mahler, Proc. Roy. Soc. 64 pp 223– (1953) [6] Schmidt, Diophantine approximation 785 (1980) [7] Mahler, J. Austral. Math. Soc. 22 pp 65– (1976) [8] Mahler, Lectures on transcendental numbers 546 (1976) · Zbl 0332.10019 · doi:10.1007/BFb0081107 [9] Mahler, J. Austral. Math. Soc. 4 pp 425– (1964) [10] Maillet, Introduction à la théorie des nombres transoendants et des propriét’es arithmétiques des fonctions (1906) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.