EISENSTEIN SERIES AND APPLICATIONS

By I. KUSAO

CONTENTS TWISTED WEYL GROUP MULTIPLE DIRICHLET SERIES: THE STABLE CASE A TOPOLOGICAL MODEL FOR SOME SUMMAND OF THE EISENSTEIN COHOMOLOGY OF CONGRUENCE SUBGROUPS THE SAITO–KUROKAWA SPACE OF PGSP4 AND ITS TRANSFER TO INNER FORMS VALUES OF ARCHIMEDEAN ZETA INTEGRALS FOR UNITARY GROUPS A SIMPLE PROOF OF RATIONALITY OF SIEGEL–WEIL EISENSTEIN SERIES RESIDUES OF EISENSTEIN SERIES AND RELATED PROBLEMS SOME EXTENSIONS OF THE SIEGEL–WEIL FORMULA A REMARK ON EISENSTEIN SERIES ARITHMETIC ASPECTS OF THE THETA CORRESPONDENCE AND PERIODS OF MODULAR FORMS FUNCTORIALITY AND SPECIAL VALUES OF L-FUNCTIONS BOUNDS FOR MATRIX COE?CIENTS AND ARITHMETIC APPLICATIONS