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A glossary for the cross-disciplinary study of numerals. [PDF]
Philos Trans R Soc Lond B Biol SciPelland JC.
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Longitudinal Analysis of Manually and Automatically Classified Circulating Tumor Biomarkers and their Prediction of Survival in Metastatic Colorectal Cancer. [PDF]
Clin Pharmacol TherCentanni M +6 more
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Predictive modeling of molecular interaction energies using topological and spectral entropies of zeolite AWW. [PDF]
Front ChemPeter P +3 more
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The application of ABC-VED with multi-criteria analysis for drug inventory management. [PDF]
Sci RepAyalew AB, Alemu AG, Worku AM.
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Laser-driven resonant soft-X-ray scattering for probing picosecond dynamics of nanometre-scale order. [PDF]
Light Sci ApplLunin L +8 more
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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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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
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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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