It takes the average reader 5 hours and 16 minutes to read Advanced Analytic Number Theory: L-Functions by Carlos J. Moreno
Assuming a reading speed of 250 words per minute. Learn more
Since the pioneering work of Euler, Dirichlet, and Riemann, the analytic properties of L-functions have been used to study the distribution of prime numbers. With the advent of the Langlands Program, L-functions have assumed a greater role in the study of the interplay between Diophantine questions about primes and representation theoretic properties of Galois representations. This book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the general linear group. In addition to establishing functional equations, growth estimates, and non-vanishing theorems, a thorough presentation of the explicit formulas of Riemann type in the context of Artin-Hecke and automorphic L-functions is also given. The survey is aimed at mathematicians and graduate students who want to learn about the modern analytic theory of L-functions and their applications in number theory and in the theory of automorphic representations. The requirements for a profitable study of this monograph are a knowledge of basic number theory and the rudiments of abstract harmonic analysis on locally compact abelian groups.
Advanced Analytic Number Theory: L-Functions by Carlos J. Moreno is 313 pages long, and a total of 79,189 words.
This makes it 106% the length of the average book. It also has 97% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 12 minutes to read Advanced Analytic Number Theory: L-Functions aloud.
Advanced Analytic Number Theory: L-Functions is suitable for students ages 12 and up.
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