By Haruzo Hida

This publication is a complete and systematic account of the idea of p-adic and classical modular kinds and the idea of the particular values of mathematics L-functions and p-adic L-functions. The strategy is largely algebraic, and the therapy is simple. No deep wisdom from algebraic geometry and illustration concept is needed. The author's major device in facing those difficulties is taken from cohomology idea over Riemann surfaces, that's additionally defined intimately within the publication. He additionally provides a concise yet thorough therapy of analytic continuation and practical equation. Graduate scholars wishing to grasp extra approximately L-functions will locate this a distinct advent to this attention-grabbing department of arithmetic.