Positional number systems with digits forming an arithmetic progression

Monatshefte fur Mathematik

Volumn 155, Issue 3-4, 2008, Pages 349-375

  Heuberger, Clemens ^a   Prodinger, Helmut ^b   Wagner, Stephan G ^b  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

^b STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

Digit formul ; Digit frequencies; Mellin Perron summation formula; Number system

Indexed keywords

EID: 56749149553     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00605-008-0008-8     Document Type: Conference Paper

References (10)

1. H. Delange 1975 Sur la fonction sommatoire de la fonction "somme des chiffres" Enseignement Math. (2) 21 31 47
2. Ph. Flajolet P. Grabner P. Kirschenhofer H. Prodinger R.F. Tichy 1994 Mellin transforms and asymptotics: digital sums Theor. Comput. Sci. 123 291 314
3. P.J. Grabner P. Kirschenhofer H. Prodinger 1998 The sum-of-digits function for complex bases J. Lond. Math. Soc. (2) 57 1 20 40
4. Graham R.L., Knuth D.E., Patashnik O.: Concrete Mathematics. A Foundation for Computer Science, 2nd edn. Addison-Wesley, Reading (1994)
5. C. Heuberger H. Prodinger 2001 On minimal expansions in redundant number systems: Algorithms and quantitative analysis Computing 66 377 393
6. C. Heuberger S.G. Wagner 2008 Maximizing the number of independent subsets over trees with bounded degree J. Graph Theory 58 49 68
7. Knuth D.E.: Fundamental algorithms, 3rd edn. The Art of Computer Programming, vol. 1. Addison-Wesley, Reading (1997)
8. T. Okada T. Sekiguchi Y. Shiota 1995 Applications of binomial measures to power sums of digital sums J. Number Theory 52 2 256 266
9. Prodinger, H.: Digits and beyond, Mathematics and computer science, II (Versailles, 2002), Trends Math., Birkhäuser, Basel, pp. 355-377 (2002)
10. Whittaker E.T., Watson G.N.: A course of modern analysis. Reprint of the 4th edn, 1927. Cambridge University Press, Cambridge (1963)