Results 41 to 50 of about 146 (139)
Asymptotic value of monitoring structures in stochastic games
Theoretical Economics, Volume 21, Issue 2, Page 535-574, May 2026.This paper studies how improved monitoring affects the limit equilibrium payoff set for stochastic games with imperfect public monitoring. We introduce a simple generalization of Blackwell garbling called weighted garbling in order to compare different monitoring structures for this class of games.
Daehyun Kim, Ichiro Obara
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Rapid Land Surface Uplift and Groundwater Recovery Observed During the Syrian War
Geophysical Research Letters, Volume 53, Issue 7, 16 April 2026.Abstract Recent geopolitical upheaval in Syria is driving regional growth by returning populations, which increases demands on water resources. In northwest Syria, widespread cropland abandonment during the Syrian War starting in 2011 drastically changed the hydrological regime of the region.
Saeed Mhanna +5 more
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Airy Sums, Kloosterman Sums, and Salié Sums
Journal of Number Theory, 1997 In 1993 \textit{W. Duke} and \textit{H. Iwaniec} proved that a certain class of cubic exponential sums can be expressed through Kloosterman sums twisted by a cubic character [Contemp. Math. 143, 255-258 (1993; Zbl 0792.11029)]. Their proof made use of one of the Davenport-Hasse theorems.
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The second moment of sums of Hecke eigenvalues II
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let f$f$ be a holomorphic Hecke cusp form of weight k$k$ for SL2(Z)$\mathrm{SL}_2(\mathbb {Z})$, and let (λf(n))n⩾1$(\lambda _f(n))_{n\geqslant 1}$ denote its sequence of normalised Hecke eigenvalues. We compute the first and second moments of the sums S(x,f)=∑x⩽n⩽2xλf(n)$\mathcal {S}(x,f)=\sum _{x\leqslant n\leqslant 2x} \lambda _f(n)$, on ...
Ned Carmichael
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Non‐vanishing of Poincaré series on average
Mathematika, Volume 72, Issue 2, April 2026.Abstract We study when Poincaré series for congruence subgroups do not vanish identically. We show that almost all Poincaré series with suitable parameters do not vanish when either the weight k$k$ or the index m$m$ varies in a dyadic interval. Crucially, analyzing the problem ‘on average’ over these weights or indices allows us to prove non‐vanishing ...
Ned Carmichael, Noam Kimmel
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A transform property of Kloosterman sums
Discrete Applied Mathematics, 2010 Kloosterman sums \(K_k(a,b)\) are of interest in many parts of mathematics. They are defined as \(K_k(a,b)=\sum_{\gamma \in {\mathbb{F}_{q^k}^\ast}}\chi(\text{trace}(a\gamma+b\gamma^{-1})\), where \(\chi\) in an additive character of the finite field \({\mathbb F}_{q}\). Here \(q\) is a prime power and the trace is relative to \({\mathbb F}_q\).
Ian F. Blake, Theodoulos Garefalakis
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Distribution of integer points on determinant surfaces and a mod‐p analogue
Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
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Sums of multidimensional Kloosterman sums
Periodica Mathematica HungaricaAbstract 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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On sums of Kloosterman and Gauss sums
Transactions of the American Mathematical Society, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kloosterman sums with multiplicative coefficients [PDF]
Izvestiya: Mathematics, 2018 The series of some new estimates for the sums of the type \[ S_{q}(x;f)\,=\,\mathop{{\sum}'}\limits_{n\leqslant x}f(n)e_{q}(an^{*}+bn) \] is obtained. Here $q$ is a sufficiently large integer, $\sqrt{q}(\log{q})\!\ll\!x\leqslant q$, $a,b$ are integers, $(a,q)=1$, $e_{q}(v) = e^{2πiv/q}$, $f(n)$ is a multiplicative function, $nn^{*}\equiv 1 \pmod{q ...
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