World Scientific Publishing Company World Scientific Analytic Methods In Number Theory Book

Explore the deep connection between arithmetic properties of whole numbers and analytic functions of complex variables. This specialized text from the Monographs In Number Theory series examines how complex numbers influence number theory, offering a semi-systematic review of analytic achievements in the field. Readers will examine the relationship where analytic functions provide control over integral numbers, while the values of these functions themselves serve as significant mathematical subjects. The book investigates the pursuit of explicit expressions for these values and the methods used to prove their existence or non-existence. This volume covers classical themes and modern results, making it a valuable resource for those studying the symbiosis of number theory and analysis. It provides a structured look at how these two mathematical branches have evolved together over centuries, presenting new ideas and methods for the contemporary mathematician.