vi TABLE OF CONTENTS
Chapter V. APPLICATIONS OF A LIMIT FORMULA OF KRON-
ECKER'S TYPE 169
§1. A limit formula of Kronecker's type 169
§2. A generalization of the exact Chowla-Selberg formula 179
§3. L-functions of orders of an algebraic number field 189
§4. Toward the reciprocity law for the /i-function 197
§5. A connection of automorphic forms with group cohomology 207
Exercises 213
Appendix I. EISENSTEIN SERIES ON GL(2) 215
§1. Eisenstein series on GL(2) 215
§2. Calculations of local integrals 222
§3. The functional equation of Eisenstein series 234
§4. Eisenstein series of class 1 243
Appendix II. ON HIGHER DERIVATIVES OF L-FUNCTIONS 249
§1. A search for new invariants 249
§2. The case of the second derivatives of L-functions 253
Appendix III. TRANSCENDENTAL PROPERTY OF CM-PERIODS 269
Exercises 274
References 275
Index 281
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