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On the GL(3) Kuznetsov formula with applications to symmetry types of families of Lfunctions, preprint
"... ar ..."
Modal Logics that Need Very Large Frames
"... . The Kuznetsov{Index of a modal logic is the least cardinal such that any consistent formula has a Kripke{model of size if it has a Kripke{model at all. The Kuznetsov{Spectrum is the set of all Kuznetsov{Indices of modal logics with countably many operators. It has been shown by Thomason that th ..."
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. The Kuznetsov{Index of a modal logic is the least cardinal such that any consistent formula has a Kripke{model of size if it has a Kripke{model at all. The Kuznetsov{Spectrum is the set of all Kuznetsov{Indices of modal logics with countably many operators. It has been shown by Thomason
Sums of Hecke eigenvalues over quadratic polynomials
 ID
, 2008
"... Abstract. Let f(z) = P n a(n)n(k−1)/2e(nz) ∈ Sk(N, χ) be a cusp form for Γ0(N), weight k � 4 and character χ. Let q(x) = x 2 + sx + t ∈ Z[x] be a quadratic polynomial. It is shown that X a(q(n)) = cX + Of,q,ε(X 6/7+ε) n�X for some constant c = c(f, q). The constant vanishes in many (but not all) ..."
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Cited by 2 (0 self)
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) cases, for example if k is even or if ∆ = s 2 − 4t> 0. On the way a Kuznetsov formula for halfintegral weight and entries having different sign is derived. 1.
Simple finite subgroups of the Cremona group of rank 3. arXiv:0908.0678v1 [math.AG
, 2009
"... Abstract. We classify all finite simple subgroups of the Cremona group Cr3(C). 1. ..."
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Cited by 28 (4 self)
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Abstract. We classify all finite simple subgroups of the Cremona group Cr3(C). 1.
Hybrid bounds for twisted Lfunctions
 MR 2431250 (2009e:11094
"... Abstract. The aim of this paper is to derive bounds on the critical line <s = 1 2 for Lfunctions attached to twists f ⊗ χ of a primitive cusp form f of level N and a primitive character modulo q that break convexity simultaneously in the s and q aspects. If f has trivial nebentypus, it is shown ..."
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Cited by 20 (4 self)
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Abstract. The aim of this paper is to derive bounds on the critical line <s = 1 2 for Lfunctions attached to twists f ⊗ χ of a primitive cusp form f of level N and a primitive character modulo q that break convexity simultaneously in the s and q aspects. If f has trivial nebentypus, it is shown that L(f ⊗ χ, s) (N sq)εN 45 (sq) 12 − 140, where the implied constant depends only on ε> 0 and the archimedean parameter of f. To this end, two independent methods are employed to show
Subconvexity for twisted Lfunctions on GL(3
 Am. Journ. Math
"... Abstract. Let q be a large prime and χ the quadratic character modulo q. Let φ be a selfdual cuspidal Hecke eigenform for SL(3, Z), and f a HeckeMaaß cusp form for Γ0(q) ⊆ SL2(Z). We ..."
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Cited by 12 (1 self)
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Abstract. Let q be a large prime and χ the quadratic character modulo q. Let φ be a selfdual cuspidal Hecke eigenform for SL(3, Z), and f a HeckeMaaß cusp form for Γ0(q) ⊆ SL2(Z). We
The CMS Data Aggregation System
"... Metadata plays a significant role in large modern enterprises, research experiments and digital libraries where it comes from many different sources and is distributed in a variety of digital formats. It is organized and managed by constantly evolving software using both relational and nonrelation ..."
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Metadata plays a significant role in large modern enterprises, research experiments and digital libraries where it comes from many different sources and is distributed in a variety of digital formats. It is organized and managed by constantly evolving software using both relational and nonrelational data sources. Even though we can apply an information retrieval approach to nonrelational data sources, we can’t do so for relational ones, where information is accessed via a preestablished set of dataservices. Here we discuss a new data aggregation system which consumes, indexes and delivers information from different relational and nonrelational data sources to answer cross dataservice queries and explore metadata associated with petabytes of experimental data. We combine the simplicity of keywordbased search with the precision of RDMS under the new system. The aggregated information is collected from various sources, allowing endusers to place dynamic queries, get precise answers and trigger information retrieval on demand. Based on the use cases of the CMS experiment, we have performed a set of detailed, large scale tests the results of which we present in this paper.
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