This work brings natural numbers from 0 to 1000 written in two different forms. One in terms
of power and bases, and another in decreasing order of numbers ending in 0. These …

Pyramidical Representations of Natural Numbers Page 1 Inder J. Taneja RGMIA Research
Report Collection, 19(2016), pp. 1-95, http://rgmia.org/v19.php Pyramidical Representations of …

Mathematics is notably concerned with the study of numbers and the arithmetic properties of
these numbers in relation with the syntactical properties of their representations by …

Double Sequential Representations of Natural Numbers - II Page 1 Inder J. Taneja RGMIA
Research Report Collection, 19(2016), pp. 1-42, http://rgmia.org/v19.php Double Sequential …

This work brings representations of natural numbers from 1 to 5000 in terms of single letter
a. For any value of letter a from 1 to 9, the results are always same. To bring these results …

In 1970 Senge and Strauss [4] proved that the number of integers, the sum of whose digits in
each of the bases a and b lies below a fixed bound, is fmite if and only log if---is irrational …

This thesis is devoted to the study of representations of numbers. In particular, we are
interested in two major topics, firstly in positional representations of real numbers with …

AN EXPLICIT EXPRESSION FOR LARGE DIGIT SUMS IN BASE B EXPANSIONS Curtis
Cooper and Robert E. Kennedy Department of Mathematics, Page 1 AN EXPLICIT …

Every non-negative integer n can be represented essentially uniquely in base 2, as follows:
n=∑ 0≤ i≤ j ei2i where ei∈{0, 1} and ej= 0 for n= 0. We consider the consequences of …