Number theory Book

Contents: Sums of Four Squares.- On the number of co-prime-free sets.- The primary role of modular equations.- Approximation Methods in Transcendental Function Computations and Some Physical Applications.- Diophantine Approximation Problem arising from VLSI Design.- Linear Diophantine Problems.- The smallest maximal set of pairwise disjoint partitions.- Sum set Cardinalities of Line Restricted Planar Sets.- On solvability of a system of two Boolean Linear Equations.- Brauer number and twisted Fermat Motives.- A Remark on a Paper of Erdos and Nathanson.- Towards a classification of Hilbert Modular Threefolds.- Special Theta Relations.- Minimal bases and g-adic Representations of Integers.- Finite Graphs and the Number of Sums and Products.- Hilbert's theorem 94 and function fields.- Some Applications of Probability to additive Number Theory and Harmonic Analysis.- Quadratic Irrationals and Continued Fractions.- Progression Bases for Finite Cyclic Groups.- Sums of Finite Sets.- Four Squares with Few Squares.