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Automorphic Distributions and the Functional Equation for the Standard L-function for G2

by Brandon Bate, Stephen Miller, Brandon Bate , 2013
"... for the Standard L-Function for G2 ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
for the Standard L-Function for G2

ON STANDARD L-FUNCTIONS ATTACHED TO ALTn-1(Cπ)-VALUED SIEGEL MODULAR FORMS

by Hideshi Takayanagi , 1993
"... In [23], we studied some properties of standard L-functions attached to sym' ( Iθ-valued Siegel modular forms of weight det * (x) sym*. More precisely, let det * (x) symz be an irreducible rational representation of GL(n, C) with represen-tation space sym z(F), where V is isomorphic to Cn and s ..."
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In [23], we studied some properties of standard L-functions attached to sym' ( Iθ-valued Siegel modular forms of weight det * (x) sym*. More precisely, let det * (x) symz be an irreducible rational representation of GL(n, C) with represen-tation space sym z(F), where V is isomorphic to Cn

2 RANKIN-SELBERG INTEGRAL WITH NON-UNIQUE MODEL FOR THE STANDARD L-FUNCTION OF G2

by Nadya Gurevich, Avner Segal
"... ar ..."
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Abstract not found

TWISTED MOMENTS OF AUTOMORPHIC L-FUNCTIONS

by Yuk-kam Lau, Emmanuel Royer, Jie Wu
"... ABSTRACT. We study the moments of the symmetric power L-functions of primitive forms at the edge of the critical strip twisted by the square of the value of the standard L-function at the center of the critical strip. We give a precise expansion of the moments as the order goes to infinity. ..."
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ABSTRACT. We study the moments of the symmetric power L-functions of primitive forms at the edge of the critical strip twisted by the square of the value of the standard L-function at the center of the critical strip. We give a precise expansion of the moments as the order goes to infinity.

SPECIAL VALUES OF L-FUNCTIONS FOR SAITO-KUROKAWA LIFTS

by Jim Brown, Ameya Pitale
"... Abstract. In this paper we obtain special value results for L-functions associated to classical and paramodular Saito-Kurokawa lifts. In particular, we consider standard L-functions associated to Saito-Kurokawa lifts as well as degree eight L-functions obtained by twisting with an automorphic form d ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Abstract. In this paper we obtain special value results for L-functions associated to classical and paramodular Saito-Kurokawa lifts. In particular, we consider standard L-functions associated to Saito-Kurokawa lifts as well as degree eight L-functions obtained by twisting with an automorphic form

Policy gradient methods for reinforcement learning with function approximation.

by Richard S Sutton , David Mcallester , Satinder Singh , Yishay Mansour - In NIPS, , 1999
"... Abstract Function approximation is essential to reinforcement learning, but the standard approach of approximating a value function and determining a policy from it has so far proven theoretically intractable. In this paper we explore an alternative approach in which the policy is explicitly repres ..."
Abstract - Cited by 439 (20 self) - Add to MetaCart
Abstract Function approximation is essential to reinforcement learning, but the standard approach of approximating a value function and determining a policy from it has so far proven theoretically intractable. In this paper we explore an alternative approach in which the policy is explicitly

Nonvanishing of L-functions on ℜ(s) = 1. by

by Peter Sarnak
"... In [Ja-Sh], Jacquet and Shalika use the spectral theory of Eisenstein series to establish a new result concerning the nonvanishing of L-functions on ℜ(s) = 1. Specifically they show that the standard L-function L(s, π) of an automorphic cusp form π on GLm is nonzero for ℜ(s) = 1. We analyze this m ..."
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In [Ja-Sh], Jacquet and Shalika use the spectral theory of Eisenstein series to establish a new result concerning the nonvanishing of L-functions on ℜ(s) = 1. Specifically they show that the standard L-function L(s, π) of an automorphic cusp form π on GLm is nonzero for ℜ(s) = 1. We analyze

Non-Deterministic Exponential Time has Two-Prover Interactive Protocols

by Laszlo Babai, Lance Fortnow, Carsten Lund
"... We determine the exact power of two-prover inter-active proof systems introduced by Ben-Or, Goldwasser, Kilian, and Wigderson (1988). In this system, two all-powerful non-communicating provers convince a randomizing polynomial time verifier in polynomial time that the input z belongs to the language ..."
Abstract - Cited by 416 (37 self) - Add to MetaCart
to the language L. It was previously suspected (and proved in a relativized sense) that coNP-complete languages do not admit such proof systems. In sharp contrast, we show that the class of languages having two-prover interactive proof systems is nondeterministic exponential time. After the recent results

Cubic twists of GL(2) automorphic L-functions

by Ben Brubaker, Solomon Friedberg, Jeffrey Hoffstein - Invent. Math
"... Abstract. Let K = Q ( √ −3) and let π be a cuspidal automorphic representation of GL(2, AK). Consider the family of twisted L-functions L(s, π ⊗ χ) where χ ranges over the cubic Hecke characters of K. In this paper the mean value of this family of L-functions is computed; the result is consistent w ..."
Abstract - Cited by 8 (5 self) - Add to MetaCart
of such series and then obtain their main result by Tauberian methods. 0. Introduction. Let K be a number field containing n n th-roots of unity and let π be an automorphic representation of GL(r, AK). Denote by L(s, π) the standard L-function associated to π normalized to have a functional equation under s → 1

Guided search: an alternative to the Feature Integration Model for visual search

by Jeremy M. Wolfe, Kyle R. Cave, Susan L. Franzel - Journal of Experimental Psychology: Human Perception & Performance , 1989
"... Subjects searched sets of items for targets defined by conjunctions of color and form, color and orientation, or color and size. Set size was varied and reaction times (RT) were measured. For many unpracticed subjects, the slopes of the resulting RT x Set Size functions are too shallow to be consist ..."
Abstract - Cited by 399 (25 self) - Add to MetaCart
of Ls, but the time required to find that T will increase markedly as the number of distracting Ls increases (Julesz & Bergen, 1983). The slope of the function relating RT to number of distractors gives an estimate of the cost in search time of each additional distrac-tor. In a T versus L task
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