Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2017). Leading Digits of Mersenne Numbers. Preprint in arXiv:1712.04425 [math.NT]; last accessed October 23, 2018.
|
|
|
|
|
Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2021). Leading digits of Mersenne numbers. Experimental Mathematics 30(3), pp. 405–421. DOI:10.1080/10586458.2018.1551162.
|
|
|
|
|
Chenavier, N, Massé, B and Schneider, D (2018). Products of random variables and the first digit phenomenon. Preprint arXiv:1512.06049 [math.PR]; last accessed January 9, 2019.
|
|
|
|
|
Chenavier, N and Schneider, D (2018). On the discrepancy of powers of random variables. Statistics & Probability Letters 134, pp. 5-14. DOI:10.1016/j.spl.2017.10.006.
|
|
|
|
|
Hürlimann, W (2015). Prime powers and generalized Benford law. Pioneer Journal of Algebra, Number Theory and its Applications 12/2015; 10(1-2):51-70.
|
|
|
|
|
Joksimović, D, Knežević, G, Pavlović, V, Ljubić, M and Surovy, V (2017). Some Aspects of the Application of Benford’s Law in the Analysis of the Data Set Anomalies. In: Knowledge Discovery in Cyberspace: Statistical Analysis and Predictive Modeling. New York: Nova Science Publishers, pp. 85–120. ISSN/ISBN:978-1-53610-566-7.
|
|
|
|
|
Massé, B (2021). Random walks on the circle and measure of irrationality. Research Report, Université du littoral côte d'Opale.
|
|
|
|
|
Massé, B and Schneider, D (2012). Random number sequences and the first digit phenomenon. Electronic Journal of Probability, Vol 17, Article 86, pp. 1-17 . DOI:10.1214/EJP.v17-1900.
|
|
|
|
|
Massé, B and Schneider, D (2014). The mantissa distribution of the primorial numbers. Acta Arithmetica 163, pp. 45-58. ISSN/ISBN:0065-1036. DOI:10.4064/aa163-1-4.
|
|
|
|
|
Massé, B and Schneider, D (2015). Fast growing sequences of numbers and the first digit phenomenon
. International Journal of Number Theory 11:705, pp. 705--719. DOI:10.1142/S1793042115500384.
|
|
|
|
|
Ohkubo, Y and Strauch, O (2019). Distribution of leading digits of numbers II. Uniform Distribution Theory 14(1), pp. 19-42. DOI:10.2478/udt-2019–0003.
|
|
|
|
|