Lectures on Number Theory

This volume is a translation of Dirichlet's Vorlesungen uber Zahlentheorie which includes nine supplements by Dedekind and an introduction by John Stillwell, who translated the volume. Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions. The book is suitable as a textbook, yet it also offers a fascinating historical perspective that links Gauss with modern number theory.

Because it follows from 4>(a)ip(a) = f(a) = 0 (mod p) that at least one of the two
numbers 4>(a), ip{a) is divisible by p. Now if one of ... 54. See also the work from
Gauss's Nachlass: Analysis Residuorum, Gauss Werke, vol. II, 1863. 21 D. A. art.