This book provides a comprehensive and up-to-date treatment of research carried out over the 1980s and 1990s on congruences involving the values of L-functions (attached to quadratic characters) at certain special values. It presents in a unified way congruences found by many authors over the years, from the classical ones of Gauss and Dirichlet to the recent ones of Gras, Vehara, and others. The text is designed to be suitable for graduate students and researchers interested in (analytic) number theory, functions of a complex variable and special functions.
I. Short Character Sums.- II. Class Number Congruences.- III. Congruences between the Orders of K2-Groups.- IV Congruences among the Values of 2-Adic L-Functions.- V. Applications of Zagier’s Formula (I).- VI. Applications of Zagier’s Formula (II).- Author Index.- List of symbols.