Results 21 to 30 of about 8,006 (148)
Neurocognitive Dynamics of Translating Information From a Spatial Map Into Action. [PDF]
ABSTRACT How do we translate information from a spatial map to action in our immediate surroundings? Despite the widespread use of various tools for orientation, from paper maps to GPS, this fundamental question remains unanswered in our understanding of human spatial navigation.
Saulay-Carret M +3 more
europepmc +2 more sources
Double sums of Kloosterman sums in finite fields [PDF]
We bound double sums of Kloosterman sums over a finite field ${\mathbb F}_{q}$, with one or both parameters ranging over an affine space over its prime subfield ${\mathbb F}_p \subseteq {\mathbb F}_{q} $. These are finite fields analogues of a series of recent results by various authors in finite fields and residue rings.
Simon Macourt, Igor E. Shparlinski
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Note on the Kloosterman Sum [PDF]
The Kloosterman sum \[ ∑ x = 0 ; ( x , p ) = 1 p α − 1 exp
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Cancellations amongst Kloosterman sums [PDF]
We obtain several estimates for bilinear form with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst with parameters from short intervals. In particular, for certain ranges of parameters we improve some recent results of Blomer, Fouvry, Kowalski, Michel, and Milićević (2014) and Fouvry, Kowalski and Michel (2014).
Shparlinski, Igor E., Zhang, Tianping
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Short Kloosterman sums to powerful modulus
We obtain the estimate of incomplete Kloosterman sum to powerful modulus $q$.
Korolev, Maxim A.
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Kloosterman sums with multiplicative coefficients [PDF]
Let $f(n)$ be a multiplicative function satisfying $|f(n)|\leq 1$, $q$ $(\leq N^2)$ be a positive integer and $a$ be an integer with $(a,\,q)=1$. In this paper, we shall prove that $$\sum_{\substack{n\leq N\\ (n,\,q)=1}}f(n)e({a\bar{n}\over q})\ll\sqrt{τ(q)\over q}N\log\log(6N)+q^{{1\over 4}+{ε\over 2}}N^{1\over 2}(\log(6N))^{1\over 2}+{N\over \sqrt ...
Gong, Ke, Jia, Chaohua
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Let \({\mathbb{F}}_ q\) be the finite field with q elements, V be a finite- dimensional vector space over \({\mathbb{F}}_ q\), dim V\(=n\), \(L_ 1\), \(L_ 2\) linear forms and Q a quadratic form on V. The author proves an upper bound for the Kloosterman sum \[ K(L_ 1,L_ 2;Q):=\sum_{Q(v)\neq 0}\chi ((L_ 1(v)+L_ 2(v)(Q(v))^{-1}), \] where \(\chi\) is a ...
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Hybrid Level Aspect Subconvexity for $GL(2)\times GL(1)$ Rankin-Selberg $L$-Functions
Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P\sim M^\eta$ with $0 < \eta < 2/5$. We simplify the proof of subconvexity bounds for $L(\frac{1}{2},f\otimes\chi)$ when $f$ is a primitive holomorphic cusp form of
Aggarwal, Keshav +2 more
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Fostering refugees' entrepreneurial instincts: Lessons from the past, learning for the future
Abstract The ongoing global crises have sparked academic discussions on immigration, recognizing it as a key factor in socio‐economic advancement. Immigration is viewed as an essential element of human capital, capable of addressing labor and skill shortages in developed nations.
Gagan Deep Sharma +4 more
wiley +1 more source
The cubic moment of central values of automorphic L-functions
The authors study the central values of L-functions in certain families; in particular they bound the sum of the cubes of these values.Contents:Comment: 42 pages, published ...
Conrey, J. Brian, Iwaniec, Henryk
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