Results 11 to 20 of about 7,921 (138)
On sums of hyper-Kloosterman sums
Forum Mathematicum, 2023 Abstract A formula of Kuznetsov allows one to interpret a smooth sum of Kloosterman sums as a sum over the spectrum of GL (
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On moments of twisted $L$-functions [PDF]
, 2016 We study the average of the product of the central values of two $L$-functions of modular forms $f$ and $g$ twisted by Dirichlet characters to a large prime modulus $q$.
Blomer, Valentin +4 more
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Rankin-Selberg methods for closed strings on orbifolds [PDF]
, 2013 In recent work we have developed a new unfolding method for computing one-loop modular integrals in string theory involving the Narain partition function and, possibly, a weak almost holomorphic elliptic genus. Unlike the traditional approach, the Narain
Angelantonj, Carlo +2 more
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Kloosterman sums with multiplicative coefficients [PDF]
Science China Mathematics, 2015 In this version we make some ...
Gong, Ke, Jia, Chaohua
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Short Kloosterman sums to powerful modulus
, 2016 We obtain the estimate of incomplete Kloosterman sum to powerful modulus $q$.
Korolev, Maxim A.
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Legendre sums, Soto–Andrade sums and Kloosterman sums [PDF]
Pacific Journal of Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hybrid Level Aspect Subconvexity for $GL(2)\times GL(1)$ Rankin-Selberg $L$-Functions
, 2018 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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Double sums of Kloosterman sums in finite fields [PDF]
Finite Fields and Their Applications, 2019 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.
Macourt, Simon, Shparlinski, Igor E.
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manuscripta mathematica, 1991 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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Symplectic Kloosterman sums and Poincaré series [PDF]
The Ramanujan Journal, 2021 AbstractWe prove power-saving bounds for general Kloosterman sums on $${\text {Sp}}(4)$$ Sp ( 4 ) associated to all Weyl elements via a stratification argument coupled with p-adic stationary phase methods.
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