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Automorphic Distributions and the Functional Equation for the Standard Lfunction for G2
, 2013
"... for the Standard LFunction for G2 ..."
ON STANDARD LFUNCTIONS ATTACHED TO ALTn1(Cπ)VALUED SIEGEL MODULAR FORMS
, 1993
"... In [23], we studied some properties of standard Lfunctions attached to sym' ( Iθvalued Siegel modular forms of weight det * (x) sym*. More precisely, let det * (x) symz be an irreducible rational representation of GL(n, C) with representation space sym z(F), where V is isomorphic to Cn and s ..."
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In [23], we studied some properties of standard Lfunctions attached to sym' ( Iθvalued Siegel modular forms of weight det * (x) sym*. More precisely, let det * (x) symz be an irreducible rational representation of GL(n, C) with representation space sym z(F), where V is isomorphic to Cn
TWISTED MOMENTS OF AUTOMORPHIC LFUNCTIONS
"... ABSTRACT. We study the moments of the symmetric power Lfunctions of primitive forms at the edge of the critical strip twisted by the square of the value of the standard Lfunction 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 Lfunctions of primitive forms at the edge of the critical strip twisted by the square of the value of the standard Lfunction at the center of the critical strip. We give a precise expansion of the moments as the order goes to infinity.
SPECIAL VALUES OF LFUNCTIONS FOR SAITOKUROKAWA LIFTS
"... Abstract. In this paper we obtain special value results for Lfunctions associated to classical and paramodular SaitoKurokawa lifts. In particular, we consider standard Lfunctions associated to SaitoKurokawa lifts as well as degree eight Lfunctions obtained by twisting with an automorphic form d ..."
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Abstract. In this paper we obtain special value results for Lfunctions associated to classical and paramodular SaitoKurokawa lifts. In particular, we consider standard Lfunctions associated to SaitoKurokawa lifts as well as degree eight Lfunctions obtained by twisting with an automorphic form
Policy gradient methods for reinforcement learning with function approximation.
 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 ..."
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Cited by 439 (20 self)
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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 Lfunctions on ℜ(s) = 1. by
"... In [JaSh], Jacquet and Shalika use the spectral theory of Eisenstein series to establish a new result concerning the nonvanishing of Lfunctions on ℜ(s) = 1. Specifically they show that the standard Lfunction 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 [JaSh], Jacquet and Shalika use the spectral theory of Eisenstein series to establish a new result concerning the nonvanishing of Lfunctions on ℜ(s) = 1. Specifically they show that the standard Lfunction L(s, π) of an automorphic cusp form π on GLm is nonzero for ℜ(s) = 1. We analyze
NonDeterministic Exponential Time has TwoProver Interactive Protocols
"... We determine the exact power of twoprover interactive proof systems introduced by BenOr, Goldwasser, Kilian, and Wigderson (1988). In this system, two allpowerful noncommunicating provers convince a randomizing polynomial time verifier in polynomial time that the input z belongs to the language ..."
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Cited by 416 (37 self)
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to the language L. It was previously suspected (and proved in a relativized sense) that coNPcomplete languages do not admit such proof systems. In sharp contrast, we show that the class of languages having twoprover interactive proof systems is nondeterministic exponential time. After the recent results
Cubic twists of GL(2) automorphic Lfunctions
 Invent. Math
"... Abstract. Let K = Q ( √ −3) and let π be a cuspidal automorphic representation of GL(2, AK). Consider the family of twisted Lfunctions L(s, π ⊗ χ) where χ ranges over the cubic Hecke characters of K. In this paper the mean value of this family of Lfunctions is computed; the result is consistent w ..."
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Cited by 8 (5 self)
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of such series and then obtain their main result by Tauberian methods. 0. Introduction. Let K be a number field containing n n throots of unity and let π be an automorphic representation of GL(r, AK). Denote by L(s, π) the standard Lfunction associated to π normalized to have a functional equation under s → 1
Guided search: an alternative to the Feature Integration Model for visual search
 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 ..."
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Cited by 399 (25 self)
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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 distractor. In a T versus L task
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