Analytic Number Theory

A collection of papers inspired by the work of Britain's first Fields Medallist, Klaus Roth.

Leading lights in mathematics acknowledge the contribution of British mathematician, Klaus Roth, to number theory, diophantine approximation, sieve theory and beyond. Extensive lists of references make this a valuable source for research mathematicians in many areas and a suitable introductory overview of the subject for beginning research students.Klaus Roth's pioneering research in the field of number theory has led to important and substantial breakthroughs in many areas, including sieve theory, diophantine approximation, and irregularities of distribution. His work on the Thue-Siegel-Roth Theorem earned him a Fields Medal in 1958 - the first British mathematician to receive the honour. Analytic Number Theory: Essays in Honour of Klaus Roth comprises 32 essays from close colleagues and leading experts in those fields in which he has worked, and provides a great insight into the historical development of the subject matter and the importance of Roth's contributions to number theory and beyond. His influence is also discussed in relation to more recent mathematical advances. Extensive lists of references make this a valuable source for research mathematicians in many areas, an introductory overview of the subject for beginning research students, and a fitting long-awaited tribute to a great mathematician.