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241,752
MODULAR FORMS OF HALFINTEGRAL WEIGHT WITH FEW NONVANISHING COEFFICIENTS MODULO ℓ
"... Abstract. Bruinier and Ono classified cusp forms of halfintegral weight F (z): = a(n)q n=0 n ∈ Sλ+ 1 (Γ0(N),χ) ∩ Z[[q]] 2 whose Fourier coefficients are not well distributed for modulo odd primes ℓ. Ahlgren and Boylan established bounds for the weight of such a cusp form and used these bounds to p ..."
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Abstract. Bruinier and Ono classified cusp forms of halfintegral weight F (z): = a(n)q n=0 n ∈ Sλ+ 1 (Γ0(N),χ) ∩ Z[[q]] 2 whose Fourier coefficients are not well distributed for modulo odd primes ℓ. Ahlgren and Boylan established bounds for the weight of such a cusp form and used these bounds
Sparseness of support vector machines
, 2003
"... Support vector machines (SVMs) construct decision functions that are linear combinations of kernel evaluations on the training set. The samples with nonvanishing coefficients are called support vectors. In this work we establish lower (asymptotical) bounds on the number of support vectors. On our w ..."
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Cited by 263 (35 self)
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Support vector machines (SVMs) construct decision functions that are linear combinations of kernel evaluations on the training set. The samples with nonvanishing coefficients are called support vectors. In this work we establish lower (asymptotical) bounds on the number of support vectors. On our
NONVANISHING OF ALTERNANTS
, 2004
"... Abstract. Let p be prime, K a field of characteristic 0. Let (x1,..., xn) ∈ Kn such that xi ̸ = 0 for all i and xi/xj is not a root of unity for all i ̸ = j. We prove that there exist integers 0 < e1 < e2 < · · · < en such that det (x pei j) ̸ = 0. The proof uses padic arguments. As ..."
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. In this paper, we are concerned instead with the nonvanishing of certain alternants that come up in the study of rings of Witt vectors. The application to Witt vectors, presented in Theorem 6, will be of use (we hope) in work in progress that compares cohomology of arithmetic groups with coefficients in Z
GEOMETRIC NONVANISHING
, 2004
"... Abstract. We consider Lfunctions attached to representations of the Galois group of the function field of a curve over a finite field. Under mild tameness hypotheses, we prove nonvanishing results for twists of these Lfunctions by characters of order prime to the characteristic of the ground fiel ..."
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Cited by 3 (2 self)
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Abstract. We consider Lfunctions attached to representations of the Galois group of the function field of a curve over a finite field. Under mild tameness hypotheses, we prove nonvanishing results for twists of these Lfunctions by characters of order prime to the characteristic of the ground
SIMULTANEOUS NONVANISHING OF TWISTS
"... Abstract. Let f be a newform of even weight k, level M and character ψ and let g be a newform of even weight l, level N and character η. We give a generalization of a theorem of Elliott, regarding the average values of Dirichlet Lfunctions, in the context of twisted modular Lfunctions associated t ..."
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Cited by 1 (0 self)
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to f and g. Using this result, we find a lower bound in terms of Q for the number of primitive Dirichlet characters modulo prime q ≤ Q whose twisted product Lfunctions Lf,χ(s0)Lg,χ(s0) are nonvanishing at a fixed point s0 = σ0 + it0 with 1 2 < σ0 ≤ 1.
On a nonvanishing Ext
"... Abstract. The existence of valuation domains admitting nonstandard uniserial modules for which certain Exts do not vanish was proved in [1] under Jensen’s Diamond Principle. In this note, the same is verified using the ZFC axioms alone. In the construction of large indecomposable divisible modules ..."
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Abstract. The existence of valuation domains admitting nonstandard uniserial modules for which certain Exts do not vanish was proved in [1] under Jensen’s Diamond Principle. In this note, the same is verified using the ZFC axioms alone. In the construction of large indecomposable divisible modules
with a non–vanishing
, 2001
"... Properties of the renormalized quark mass in the Schrödinger functional ..."
NonVanishing of UppuluriCarpenter Numbers
, 2006
"... The Bell numbers count the number of set partitions of {1,..., n}. They are the integer coefficients Bn in � ∞ tn ..."
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The Bell numbers count the number of set partitions of {1,..., n}. They are the integer coefficients Bn in � ∞ tn
Results 1  10
of
241,752