Number Theory

1 Sums of Four Squares. - 2 On the Number of Co-Prime-Free Sets. - 3 The Primary Role of Modular Equations. - 4 Approximation Methods in Transcendental Function Computations and Some Physical Applications. - 5 Diophantine Approximation Problem Arising From VLSI Design. - 6 Linear Diophantine Problems. - 7 On the Sum of the Reciprocals of the Differences Between Consecutive Primes. - 8 The Smallest Maximal Set of Pairwise Disjoint Partitions. - 9 Sum Set Cardinalities of Line Restricted Planar Sets. - 10 On Solvability of a System of Two Boolean Linear Equations. - 11 Brauer Number and Twisted Fermat Motives. - 12 A Remark on a Paper of Erdös and Nathanson. - 13 Towards a Classification of Hilbert Modular Threefolds. - 14 Special Theta Relations. - 15 Minimal Bases and g-adic Representations of Integers. - 16 Finite Graphs and the Number of Sums and Products. - 17 Hilbert's Theorem 94 and Function Fields. - 18 Some Applications of Probability to Additive Number Theory and Harmonic Analysis. - 19 Quadratic Irrationals and Continued Fractions. - 20 Progression Bases for Finite Cyclic Groups. - 21 Sums of Finite Sets. - 22 Four Squares with Few Squares. Language: English