From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]
Gillman N +4 more
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Kuznetsov Formulas for Generalized Kloosterman Sums
The Kuznetsov trace formula [\textit{N. V. Kuznetsov}, Mat. Sb., Nov. Ser. 111(153), 334-383 (1980; Zbl 0427.10016)] relates a weighted sum of classical Kloosterman sums to a weighted sum of Fourier coefficients of \(GL(2)\) automorphic forms and other spectral information.
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Exponential Function Analogue of Kloosterman Sums
Let \(p\) be a prime, and let \(t\) be a divisor of \(p-1\). Further let \(\mathbb{Z}^*_t\) be the subset of \(\{0,\dots, t-1\}\) consisting of \(\varphi(t)\) invertible elements, where \(\varphi(t)\) is the Euler function. For any integers \(a\) and \(b\) with \(0\leq a\), \(b\leq p-1\), let \(K_g(a,b)= \sum_{x\in\mathbb{Z}^*_t} e(ag^x+ bg^{x^{-1}})\),
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Sums of multidimensional Kloosterman sums
Abstract We obtain a new bound on certain multiple sums with multidimensional Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums in very small families.
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Hypergeometric decomposition of symmetric K3 quartic pencils. [PDF]
Doran CF +5 more
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Identification of QTL associated with plant vine characteristics and infection response to late blight, early blight, and Verticillium wilt in a tetraploid potato population derived from late blight-resistant Palisade Russet. [PDF]
Park J +4 more
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Navigating the Statistical Minefield of Model Selection and Clustering in Neuroscience. [PDF]
Király B, Hangya B.
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On coefficients of Poincaré series and single-valued periods of modular forms. [PDF]
Fonseca TJ.
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One kind hybrid character sums and their upper bound estimates. [PDF]
Zhao J, Wang X.
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