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• catalog contributor b13012978.
• catalog created "c2003.".
• catalog date "2003".
• catalog date "c2003.".
• catalog dateCopyrighted "c2003.".
• catalog description "139 -- 3. A sufficient condition for a cone decomposition 144 -- 5. Explicit cone decompositions for index finite subgroups 149 -- 6. Applications 161 -- Chapter V. Applications of a Limit Formula of Kronecker'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 h-function 197 -- 5. A connection of automorphic forms with group cohomology 207 -- 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 --".
• catalog description "Appendix III. Transcendental Property of CM-periods 269.".
• catalog description "Chapter I. Multiple Gamma Function and Its Generalizations 13 -- 1. Basic integral representations 13 -- 2. Shintani's formulas 17 -- 3. The second derivative of [zeta](s, A, x) at s = 0 24 -- 4. An asymptotic expansion of the multiple gamma function 34 -- Chapter II. The Stark-Shintani Conjecture 43 -- 1. Stark's general conjecture 43 -- 2. Transition to a more precise conjecture 48 -- 3. Shintani's formulas for the partial zeta function 52 -- Chapter III. Absolute CM-periods 61 -- 1. Shimura's period symbol pk 61 -- 2. The case of abelian fields 65 -- 3. Conjectures on absolute CM-periods 74 -- 4. Numerical examples 94 -- 5. Further investigations on the invariant X(c) 108 -- 6. Numerical examples (continued) 126 -- Chapter IV. Explicit Cone Decompositions and Applications 135 -- 1. A special decomposition of a higher dimensional cube 135 -- 2. Topological preparations".
• catalog description "Includes bibliographical references (p. 275-279) and index.".
• catalog extent "x, 282 p.".
• catalog identifier "0821834533 (acid-free paper)".
• catalog identifier "9780821834534 (acid-free paper)".
• catalog isPartOf "Mathematical surveys and monographs ; no. 106.".
• catalog isPartOf "Mathematical surveys and monographs, 0076-5376 ; v. 106".
• catalog issued "2003".
• catalog issued "c2003.".
• catalog language "eng".
• catalog publisher "Providence, R.I. : American Mathematical Society,".
• catalog subject "516.3/53 22".
• catalog subject "Abelian varieties. fast".
• catalog subject "Abelian varieties.".
• catalog subject "Abelsche Mannigfaltigkeit. swd".
• catalog subject "Automorphe Form. swd".
• catalog subject "Automorphic forms. fast".
• catalog subject "Automorphic forms.".
• catalog subject "Functions, Zeta. fast".
• catalog subject "Functions, Zeta.".
• catalog subject "Geometria algébrica. larpcal".
• catalog subject "QA564 .Y67 2003".
• catalog subject "Variedades abelianas. larpcal".
• catalog subject "Zetafunktion. swd".
• catalog tableOfContents "139 -- 3. A sufficient condition for a cone decomposition 144 -- 5. Explicit cone decompositions for index finite subgroups 149 -- 6. Applications 161 -- Chapter V. Applications of a Limit Formula of Kronecker'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 h-function 197 -- 5. A connection of automorphic forms with group cohomology 207 -- 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 --".
• catalog tableOfContents "Appendix III. Transcendental Property of CM-periods 269.".
• catalog tableOfContents "Chapter I. Multiple Gamma Function and Its Generalizations 13 -- 1. Basic integral representations 13 -- 2. Shintani's formulas 17 -- 3. The second derivative of [zeta](s, A, x) at s = 0 24 -- 4. An asymptotic expansion of the multiple gamma function 34 -- Chapter II. The Stark-Shintani Conjecture 43 -- 1. Stark's general conjecture 43 -- 2. Transition to a more precise conjecture 48 -- 3. Shintani's formulas for the partial zeta function 52 -- Chapter III. Absolute CM-periods 61 -- 1. Shimura's period symbol pk 61 -- 2. The case of abelian fields 65 -- 3. Conjectures on absolute CM-periods 74 -- 4. Numerical examples 94 -- 5. Further investigations on the invariant X(c) 108 -- 6. Numerical examples (continued) 126 -- Chapter IV. Explicit Cone Decompositions and Applications 135 -- 1. A special decomposition of a higher dimensional cube 135 -- 2. Topological preparations".
• catalog title "Absolute CM-periods / Hiroyuki Yoshida.".
• catalog type "text".