Chowla S. The Riemann Hypothesis and Hilbert's Tenth Problem

New York: Gordon and Breach, 1965. — 136 p. — (Mathematics and Its Applications, 4).This book is an elementary introduction to the topics mentioned in the title. It does not assume much knowledge of mathematics, but it does assume some interest and knowledge in elementary number theory. Except in a few cases we have avoided developing any topic in a formal manner, our first object being to stimulate the reader. There are several excellent textbooks in existence, and this is not a textbook.Character Sums, Including Gaussian Sums
On the Sign of the Gaussian Sum
Concerning the Least Positive Quadratic Non-Residue of a Large Prime
A Formula of Jacobsthal
Some Theorems of Gauss, Cauchy, Jacobi, Eisenstein and Stickelberger
Some Results of Elliptic Function Theory
The Mordell–Weil Theorem
Some Special Diophantine Equations
Some Unsolved Problems and Statements of Known Results
Cyclotomy
The Cubic Character of 2 (mod p)
Dirichlet's Theorem on Primes in Arithmetic Progression – Linnik's TheoremAuthor Index
Subject IndexФайл: отскан. стр. (b/w 600 dpi) + OCR