Results 81 to 90 of about 8,516 (148)

ON MODULAR CORRESPONDENCES FOR SP(N, Z) AND THEIR CONGRUENCE RELATIONS. [PDF]

Proc Natl Acad Sci U S A, 1963
Shimura G.
europepmc   +1 more source

epsilon factor of representations of classical groups. [PDF]

Proc Natl Acad Sci U S A, 1986
Piatetski-Shapiro I, Rallis S.
europepmc   +1 more source

EFFECTIVE COMPUTATION OF DIMENSION FORMULAS FOR MODULAR FORMS TAKING VALUES IN WEIL REPRESENTATIONS (Automorphic Forms, Automorphic L-Functions and Related Topics)

EFFECTIVE COMPUTATION OF DIMENSION FORMULAS FOR MODULAR FORMS TAKING VALUES IN WEIL REPRESENTATIONS (Automorphic Forms, Automorphic L-Functions and Related Topics)
Though explicit dimension formulas for vector valued modular forms are well-known they are not efflciently computable as soon as the dimension of the underlying SL(2, mathbb{Z})-module grows. For the case of Weil representations, we describe the tools for simplifying the critical terms in the corresponding dimension formulas in order to obtain formulas
openaire  

Some fundamental groups in the arithmetic of algebraic curves over finite fields. [PDF]

Proc Natl Acad Sci U S A, 1975
Ihara Y.
europepmc   +1 more source

EXISTENCE OF FUNCTIONALLY INDEPENDENT AUTOMORPHIC FUNCTIONS. [PDF]

Proc Natl Acad Sci U S A, 1955
Bochner S, Gunning RC.
europepmc   +1 more source

ON A CLASS OF FUNCTIONAL EQUATIONS OF MODULAR TYPE. [PDF]

Proc Natl Acad Sci U S A, 1956
Bellman R.
europepmc   +1 more source

On a Metric Property of Fuchsian Groups. [PDF]

Proc Natl Acad Sci U S A, 1935
Seidel W.
europepmc   +1 more source

On the Functional Equations of the Dirichlet Series Derived from Siegel Modular Forms. [PDF]

Proc Natl Acad Sci U S A, 1951
Bellman R.
europepmc   +1 more source

The Synthesis of Triad Systems Delta in t Elements in Particular for t = 31. [PDF]

Proc Natl Acad Sci U S A, 1915
White HS.
europepmc   +1 more source

ON THE MODULARITY OF SPECIAL CYCLES ON ORTHOGONAL SHIMURA VARIETIES (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions)

ON THE MODULARITY OF SPECIAL CYCLES ON ORTHOGONAL SHIMURA VARIETIES (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions)
志村多様体上の代数的サイクルを係数とした形式的べき級数がコホモロジ一係数のHilbert-Siegel保型形式のFourier展開になるという現象は1990年代にKudla-Millsonにより観察されており，一連の研究は“Kudlaのプログラム”の始まりとされている．近年，Yuan-Zhang-Zhangにより，Chow群係数の形式的べき級数が研究され，ある種の直交型志村多様体の場合に保型性が示された．本稿では，より一般の直交型志村多様体に対するYuan-Zhang-Zhangの結果の拡張について紹介する．
openaire