By Ayşe Alaca,Şaban Alaca,Kenneth S. Williams

The concept of numbers keeps to occupy a primary position in smooth arithmetic due to either its lengthy historical past over many centuries in addition to its many assorted functions to different fields reminiscent of discrete arithmetic, cryptography, and coding concept. The evidence by means of Andrew Wiles (with Richard Taylor) of Fermat’s final theorem released in 1995 illustrates the excessive point of hassle of difficulties encountered in number-theoretic examine in addition to the usefulness of the hot principles bobbing up from its proof.

The 13th convention of the Canadian quantity thought organization used to be held at Carleton college, Ottawa, Ontario, Canada from June sixteen to twenty, 2014. Ninety-nine talks have been provided on the convention at the subject matter of advances within the concept of numbers. themes of the talks mirrored the range of present developments and actions in smooth quantity thought. those themes incorporated modular varieties, hypergeometric capabilities, elliptic curves, distribution of major numbers, diophantine equations, *L*-functions, Diophantine approximation, and plenty of extra. This quantity comprises many of the papers offered on the convention. All papers have been refereed. The prime quality of the articles and their contribution to present examine instructions make this quantity a needs to for any arithmetic library and is very suitable to researchers and graduate scholars with an curiosity in quantity conception. The editors wish that this quantity will function either a source and an concept to destiny generations of researchers within the thought of numbers.