Results 131 to 140 of about 185 (158)
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Newton polygons of L-functions for two-variable generalized Kloosterman sums
International Journal of Number Theory, 2023In this paper, we study the Newton polygon of the [Formula: see text]-function of a generalized Kloosterman polynomial with two variables over finite fields. We give the explicit form of the monomial basis of the top dimensional cohomology space of the [Formula: see text]-adic complex associated to the [Formula: see text]-function.
Wang, Chunlin, Yang, Liping
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Summation formulas for general Kloosterman sums
Journal of Soviet Mathematics, 1982N. V. Kuznetsov's summation formula is generalized to the case of a discrete subgroup G⊂SL2(ℝ) and a system of multiplicators χ, satisfying certain not too restrictive conditions. In the arithmetic cases, when G is a congruence-subgroup in SL2(ℤ), these conditions are satisfied. N. V. Kuznetsov's formula has been proved for the case G=SL2(ℤ)., χ=1.
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Symmetric power 𝐿-functions for families of generalized Kloosterman sums
Transactions of the American Mathematical Society, 2016We construct relative p p -adic cohomology for a family of toric exponential sums fibered over the torus.
Haessig, C. Douglas, Sperber, Steven
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On a Problem of D. H. Lehmer and General Kloosterman Sums
Acta Mathematica Sinica, English Series, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Degrees of generalized Kloosterman sums
Forum MathematicumAbstract The modern study of the exponential sums is mainly about their analytic estimates as complex numbers, which is local. In this paper, we study one global property of the exponential sums by viewing them as algebraic integers. For a kind of generalized Kloosterman sums, we present their degrees as algebraic integers.
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On some hybrid power moments of products of generalized quadratic Gauss sums and Kloosterman sums*
Lithuanian Mathematical Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Djanković, Goran +3 more
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Lithuanian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lv, Xingxing, Zhang, Wenpeng
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lv, Xingxing, Zhang, Wenpeng
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The generating fields of twisted Kloosterman sums
International Journal of Number TheoryWe use the Kloosterman sheaves constructed by Fisher to show when two twisted Kloosterman sums differ by a factor of a [Formula: see text]th root of unity, and use p-adic analysis to prove the non-vanishing of twisted Kloosterman sums. Then, we determine generating fields of twisted Kloosterman sums by these results.
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ON THE GENERAL k-TH KLOOSTERMAN SUMS AND ITS FOURTH POWER MEAN
Chinese Annals of Mathematics, 2004Let \(k\geq 1\) and let \(\chi\) be a character modulo \(q\). Define \[ S(m,n,k;\chi,q)= \sum^q_{a=1} \chi(a)\exp\Biggl({2\pi i\over q}(ma^k+ n\overline a^k)\Biggr), \] where \(a\overline a\equiv 1\pmod q\). In the case \(k=1\), \(\chi= \chi_0\), that is for the classical Kloosterman sum, \textit{H.
Liu, Hongyan, Zhang, Wenpeng
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Fourth power mean values of generalized Kloosterman sums
Functiones et Approximatio Commentarii MathematicizbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Li, Bag, Nilanjan
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