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Exponential Sums over Finite Fields
Journal of Systems Science and Complexity, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Wan
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L-functions of certain exponential sums over finite fields
Mathematische Zeitschrift, 2020In this paper, we completely determine the slopes and weights of the L-functions of an important class of exponential sums arising from analytic number theory.
Chao Chen, Xin Lin
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Analysis, 1996
The classical Kuzmin-Landau and van der Corput inequalities imply estimates for the exponential sum \(\sum_{a\leq n\leq b} e(f(n))\) once certain bounds for the derivatives \(f'(t)\) and \(f''(t)\) are known. These are generalized to double exponential sums \(\sum_{(n_1,n_2) \in D} e(f(n_1,n_2))\), where \(D\) is a rectangle, or a more general domain ...
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The classical Kuzmin-Landau and van der Corput inequalities imply estimates for the exponential sum \(\sum_{a\leq n\leq b} e(f(n))\) once certain bounds for the derivatives \(f'(t)\) and \(f''(t)\) are known. These are generalized to double exponential sums \(\sum_{(n_1,n_2) \in D} e(f(n_1,n_2))\), where \(D\) is a rectangle, or a more general domain ...
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Exponential cumulative sums chart for detecting shifts in time-between-events
International Journal of Production Research, 2018Michael Boon Chong Khoo +2 more
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Tiling, Circle Packing and Exponential Sums over Finite Fields
Analysis Mathematica, 2015We study the problem of tiling and packing in vector spaces over finite fields and its connections with zeroes of classical exponential sums. In particular, we study tilings mostly in two and three dimensions and packings in dimension two.
C. Haessig +4 more
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Canadian Mathematical Bulletin, 2001
AbstractLet p be prime and let be of multiplicative order t modulo p.
Lieman, Daniel, Shparlinski, Igor
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AbstractLet p be prime and let be of multiplicative order t modulo p.
Lieman, Daniel, Shparlinski, Igor
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Journal of the London Mathematical Society, 1938
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponentially convergent lattice sums
Optics Letters, 2001For any oblique incidence and arbitrarily high order, lattice sums for one-dimensional gratings can be expressed in terms of exponentially convergent series. The scattering Green's function can be efficiently evaluated also in the grating plane. Numerical implementation of the method is 200 times faster than for the previous best result.
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