Generalized taxicab numbers are the smallest positive integers that are the sum of exactly j,
positive\(k^{\textrm {th}}\) powers in exactly m distinct ways. This paper considers for which …

Hardy was surprised by Ramanujan's remark about a London taxi numbered 1729:“it is a
very interesting number, it is the smallest number expressible as a sum of two cubes in two …

Prior work of Hartmanis and Simon [36] and Floyd and Knuth [30] investigated what happens
if a device uses primitive steps more natural than single updates of a Turing tape. One …

The primary Carmichael numbers were recently introduced as a special subset of the
Carmichael numbers. A primary Carmichael number $ m $ has the unique property that …

Two decades ago, while one of us20 was a PhD student, I discovered Information and
Randomness [3]. I wrote to Cris with a question about the book. He was surprised to find out …

Two decades ago, while one of us20 was a PhD student, I discovered Information and
Randomness [3]. I wrote to Cris with a question about the book. He was surprised to find out …

A Complete Bibliography of Publications in J.UCS: Journal of Universal Computer Science
Page 1 A Complete Bibliography of Publications in J.UCS: Journal of Universal Computer …

For positive integers a, b and integers x, y such that S= a3+ b3= x3+ y3, we prove that x+ y≡
a+ b (mod 6); moreover, we give a parametric function ri→(x (ri), y (ri)) with (x (ri)) 3+(y (ri)) …

How likely is that a randomly given (non-) deterministic finite automaton recognizes no
word? A quick reflection seems to indicate that not too many finite automata accept no word; …

In this article, we make use of some known method to investigate some properties of the
numbers represented as sums of two equal odd powers, ie, the equation $ x^ n+ y^ n= N …