eBook ISBN:  9781470448257 
Product Code:  MEMO/255/1224.E 
List Price:  $78.00 
MAA Member Price:  $70.20 
AMS Member Price:  $46.80 
eBook ISBN:  9781470448257 
Product Code:  MEMO/255/1224.E 
List Price:  $78.00 
MAA Member Price:  $70.20 
AMS Member Price:  $46.80 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 255; 2018; 88 ppMSC: Primary 11; Secondary 22
The authors study the nonsemisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank \(2\) over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke \(L\)functions, and the Shintani zeta function for the space of binary quadratic forms.

Table of Contents

Chapters

1. Introduction

2. Preliminaries

3. A formula of Labesse and Langlands

4. Shintani zeta function for the space of binary quadratic forms

5. Structure of $\mathop {\mathrm {GSp(2)}}$

6. The geometric side of the trace formula for $\mathop {\mathrm {GSp(2)}}$

7. The geometric side of the trace formula for $\mathop {\mathrm {Sp(2)}}$

A. The group $\mathop {\mathrm {GL(3)}}$

B. The group $\mathop {\mathrm {SL(3)}}$


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The authors study the nonsemisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank \(2\) over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke \(L\)functions, and the Shintani zeta function for the space of binary quadratic forms.

Chapters

1. Introduction

2. Preliminaries

3. A formula of Labesse and Langlands

4. Shintani zeta function for the space of binary quadratic forms

5. Structure of $\mathop {\mathrm {GSp(2)}}$

6. The geometric side of the trace formula for $\mathop {\mathrm {GSp(2)}}$

7. The geometric side of the trace formula for $\mathop {\mathrm {Sp(2)}}$

A. The group $\mathop {\mathrm {GL(3)}}$

B. The group $\mathop {\mathrm {SL(3)}}$