Results 1 to 10 of about 60 (49)
Equidistribution for higher-rank Abelian actions on Heisenberg nilmanifolds [PDF]
2010 Mathematics Subject Classification: Primary: 37C85, 37A17, 37A45; Secondary: 11K36, 11L07.We prove quantitative equidistribution results for actions of Abelian subgroups of the (2g + 1)-dimensional Heisenberg group acting on compact (2g + 1 ...
Flaminio, Livio, Cosentino, Salvatore
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Piatetski-Shapiro sequences [PDF]
We consider various arithmetic questions for the Piatetski-Shapiro sequences bncc (n = 1, 2, 3, . . .) with c > 1, c 6∈ N. We exhibit a positive function θ(c) with the property that the largest prime factor of bncc exceeds nθ(c)−e infinitely often. For c
R. Baker +4 more
semanticscholar +1 more source
Alycaeus rolfbrandti Maassen 2006
Alycaeus rolfbrandti Maassen, 2006 (Figs 1I–S, 2C, F) Alycaeus rolfbrandti Maassen, 2006: 136–137, figs 6–9. Alycaeus rolfbrandti — Páll-Gergely et al., 2017: 10, fig. 3B; Páll-Gergely et al., 2020: 23, fig. 2B. Type material.
Páll-Gergely, Barna
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PERIODIC TWISTS OF $\operatorname{GL}_{3}$-AUTOMORPHIC FORMS
We prove that sums of length about $q^{3/2}$ of Hecke eigenvalues of automorphic forms on $\operatorname{SL}_{3}(\mathbf{Z})$ do not correlate with $q$-periodic functions with bounded Fourier transform.
EMMANUEL KOWALSKI +3 more
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L^p boundedness of discrete singular Radon transforms
Received by the editors February 27, 2004. 1991 Mathematics Subject Classification. Primary 11L07, 42B20.
A. Ionescu, S. Wainger
semanticscholar +1 more source
On the fourth-order linear recurrence formula related to classical Gauss sums
Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ ...
Zhuoyu Chen, Wenpeng Zhang
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A new fourth power mean of two-term exponential sums
The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
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Upper bound estimate of incomplete Cochrane sum
By using the properties of Kloosterman sum and Dirichlet character, an optimal upper bound estimate of incomplete Cochrane sum is given.
Ma Yuankui, Peng Wen, Zhang Tianping
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One kind sixth power mean of the three-term exponential sums
In this paper, we use the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean of the three-term exponential sums.
Wang Xiaoying, Li Xiaoxue
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IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES
We prove an upper bound on the log canonical threshold of a hypersurface that satisfies a certain power condition and use it to prove several generalizations of Igusa’s conjecture on exponential sums, with the log canonical threshold in the exponent of ...
RAF CLUCKERS +2 more
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