TY  - BOOK
AU  - Eie,Minking
TI  - Dimensions of Spaces of Siegel Cusp Forms of Degree Two and Three
T2  - Memoirs of the American Mathematical Society
SN  - 9781470407179
AV  - QA3 -- .E34 1984eb 
U1  - 512/.72 
PY  - 1984///
CY  - Providence
PB  - American Mathematical Society
KW  - Cusp forms (Mathematics)
KW  - Selberg trace formula
KW  - Integrals
KW  - Electronic books
N1  - Intro -- TABLE OF CONTENTS -- LIST OF NOTATIONS -- INTRODUCTION -- CHAPTER I: CONJUGACY CLASSES OF Sp (2 , Z) -- 1.1 Introduction -- 1.2 Representatives of conjugacy classes of finite order elements -- 1.3 Conjugacy classes of finite order elements in Sp (2 , Z) -- 1.4 Conjugacy classes of Γ1[sup(∞)] -- 1.5 Conjugacy classes of Γ0[sup(∞)] -- CHAPTER II: DIMENSION FORMULA FOR THE VECTOR SPACE OF CUSP FORMS OF DEGREE TWO WITH RESPECT TO Sp (2 , Z) -- 2.1 Introduction -- 2.2 Contributions from elliptic conjugacy classes -- 2.3 Contributions from conjugacy classes of elements having a one-dimensional set of fixed points (I) -- 2.4 Contributions from conjugacy classes of elements having a one-dimensional set of fixed points (II) -- 2.5 Contributions from conjugacy classes of elements having a two-dimensional set of fixed points -- 2.6 Contributions from conjugacy classes of unipotent elements -- 2.7 A dimension formula for the vector space of cusp forms with respect to Sp (2 , Z) -- CHAPTER III: REPRESENTATIVES OF CONJUGACY CLASSES OF ELEMENTS OF Sp (3 , Z) IN Sp (3 , R) -- 3.1 Introduction -- 3.2 Conjugacy classes of torsion elements in Sp (3 , Z) -- 3.3 A classification of conjugacy classes of Sp (3 , Z) -- 3.4 Selberg's trace formula and its modification -- 3.5 Conjugacy classes with zero contribution (I) -- 3.6 Conjugacy classes with zero contribution (II) -- CHAPTER IV: CONTRIBUTIONS FROM CONJUGACY CLASSES IN Δ ∪ Δ[sub(1)] ∪ Δ[sub(2)] ∪ Δ[sub(0)] -- 4.1 Introduction -- 4.2 Contributions from elliptic conjugacy classes -- 4.3 Contributions from conjugacy classes of elements having a one-dimensional set of fixed points -- 4.4 Contributions from conjugacy classes of elements having a one-dimensional set of fixed points -- 4.5 Contributions from conjugacy classes of elements having a two-dimensional set of fixed points; 4.6 Second case of conjugacy classes of elements having a one-dimensional set of fixed points -- 4.7 Second case of conjugacy classes of elements having a two-dimensional set of fixed points -- CHAPTER V: CONTRIBUTIONS FROM CONJUGACY CLASSES IN Δ[sub(0)] -- 5.1 Introduction -- 5.2 A dimension formula for the principal congruencesubgroup Γ[sub(2)](N) -- 5.3 Contributions from Δ[sub(0)](I) -- 5.4 A dimension formula for the principal congruence subgroup Γ[sub(3)](N) -- 5.5 Contributions from Δ[sub(0)](II) -- 5.6 A final remark -- REFERENCES
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