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1. Character sums with exponential functions and their applications
by Koni͡agin, S. V. (Sergeĭ Vladimirovich) and Shparlinski, Igor E
1999, Cambridge tracts in mathematics, ISBN 9780521642637, Volume 136., viii, 163
Exponential sums
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2. Full Text Small values of Weyl sums
by Chen, Changhao and Shparlinski, Igor E
Journal of mathematical analysis and applications, ISSN 0022-247X, 03/2021, Volume 495, Issue 2
Weyl sums | Hausdorff dimension | Gauss sums | [formula omitted] set | set
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3. Full Text Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality
by Viswanath, P and Tse, D.N.C
IEEE transactions on information theory, ISSN 0018-9448, 08/2003, Volume 49, Issue 8, pp. 1912 - 1921
Additive noise | Base stations | Upper bound | Transmitters | Transmitting antennas | Receiving antennas | Broadcasting | Downlink | Associate members | Antenna arrays | Broadcast channels | Wireless system | Multiple antennas | Research | Antennas (Electronics) | Theory | Information systems | Mathematical analysis | Receivers | Gaussian | Vectors (mathematics) | Joints | Channels
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4. Full Text The Gaussian-Lorentzian Sum, Product, and Convolution (Voigt) functions in the context of peak fitting X-ray photoelectron spectroscopy (XPS) narrow scans
by Jain, Varun and Biesinger, Mark C and Linford, Matthew R
Applied surface science, ISSN 0169-4332, 07/2018, Volume 447, pp. 548 - 553
Lorentzian function | XPS | GLP | Gaussian function | Voigt function | GLS | Physical Sciences | Chemistry | Materials Science | Technology | Materials Science, Coatings & Films | Physics, Condensed Matter | Chemistry, Physical | Physics | Science & Technology | Physics, Applied | X-ray spectroscopy
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5. Full Text Some identities involving certain Hardy sum and Kloosterman sum
by Peng, Wen and Zhang, Tianping
Journal of number theory, ISSN 0022-314X, 08/2016, Volume 165, pp. 355 - 362
Kloosterman sum | Hardy sum | Hybrid mean value | Gauss sum | Physical Sciences | Mathematics | Science & Technology | Information science
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6. Gauss sums, Kloosterman sums, and monodromy groups
by Katz, Nicholas M., 1943
1988, Annals of mathematics studies, ISBN 0691084335, Volume no. 116, viii, 246
Gaussian sums | Monodromy groups | Homology theory | Kloosterman sums
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7. Full Text Fast alternating linearization methods for minimizing the sum of two convex functions
by Goldfarb, Donald and Goldfarb, Donald and Ma, Shiqian and Ma, Shiqian and Scheinberg, Katya and Scheinberg, Katya
Mathematical programming, ISSN 0025-5610, 10/2013, Volume 141, Issue 1, pp. 349 - 382
Alternating direction method | Primary 65K05 | Augmented Lagrangian method | Optimal gradient method | Variable splitting | Gauss-Seidel method | Theoretical, Mathematical and Computational Physics | Mathematics | Alternating linearization method | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Convex optimization | 90C25 | Numerical Analysis | Peaceman-Rachford method | Secondary 68Q25 | Combinatorics | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Methods | Management science | Algorithms | Studies | Splitting | Computation | Mathematical analysis | Mathematical models | Iterative methods | Optimization | Linearization
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8. Full Text Partial sum processes and continued fractions
by Athreya, Jayadev S and Athreya, Krishna B
Statistics & probability letters, ISSN 0167-7152, 11/2017, Volume 130, pp. 57 - 62
Continued Fractions | Partial Sum Processes | Gauss Measure | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology
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9. Full Text Gauss sums, superoscillations and the Talbot carpet
by Colombo, Fabrizio and Sabadini, Irene and Struppa, Daniele C and Yger, Alain
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 2020
Superoscillating functions | Gauss sums | Talbot carpet | Schrödinger equation | Entire functions with growth conditions | Complex Variables | Mathematics
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10. Full Text Equivariant Gauss sum of finite quadratic forms
by Ma, Shouhei
Forum mathematicum, ISSN 0933-7741, 07/2018, Volume 30, Issue 4, pp. 1029 - 1047
11F27 | finite orthogonal groups | Weil representation | 11L05 | 11E99 | finite quadratic forms | Gauss sum | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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11. Full Text Some mixed character sum identities of Katz
by Evans, Ron
Journal of number theory, ISSN 0022-314X, 10/2017, Volume 179, pp. 17 - 32
Quadratic transformations | Hasse–Davenport relation | Gauss sums | Hypergeometric [formula omitted] functions over finite fields | Quantum physics | Jacobi sums | Hypergeometric F12 functions over finite fields | Physical Sciences | Mathematics | Science & Technology | Quantum theory
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12. Full Text Sum-Product Unmixing for Hyperspectral Analysis With Endmember Variability
by Puladas, Charan and Hossler, Katie and Ash, Joshua N
IEEE geoscience and remote sensing letters, ISSN 1545-598X, 12/2018, Volume 15, Issue 12, pp. 1917 - 1921
Correlation | spectral unmixing | Computational modeling | ultraspectral image | hyperspectral image | Libraries | Gauss–Markov model | Endmember variability | Computational complexity | Hyperspectral imaging | Gauss-Markov model | Engineering | Physical Sciences | Technology | Engineering, Electrical & Electronic | Remote Sensing | Imaging Science & Photographic Technology | Science & Technology | Geochemistry & Geophysics | Statistical analysis | Methodology | Variability | Gaussian distribution | Spectra | Empirical analysis | Complexity | Algorithms | Gaussian process | Message passing | Computation | Computer applications | Models | Markov models | Mathematical models | Reflectance
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13. Full Text The Gauss sums and Jacobi sums over Galois ring GR(p 2, r)
by Li, Jin and Zhu, ShiXin and Feng, KeQin
Science China. Mathematics, ISSN 1674-7283, 7/2013, Volume 56, Issue 7, pp. 1457 - 1465
finite fields | Galois rings | Gauss sums | Mathematics | 11L07 | Applications of Mathematics | Jacobi sums | 11T23 | Cryptography
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14. Full Text An identity involving certain Hardy sums and Ramanujan’s sum
by Wang, Weiqiong and Han, Di
Advances in difference equations, ISSN 1687-1839, 12/2013, Volume 2013, Issue 1, pp. 1 - 8
hybrid mean value | Ordinary Differential Equations | Functional Analysis | Gauss sums | Ramanujan’s sum | Analysis | computational formula | Difference and Functional Equations | certain Hardy sums | Mathematics, general | Mathematics | Partial Differential Equations | Computational formula | Ramanujan's sum | Certain Hardy sums | Hybrid mean value | Physical Sciences | Mathematics, Applied | Science & Technology | Usage | Computational physics | Series, Dirichlet | Gaussian processes | Mean value theorems (Calculus)
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15. Full Text n×1 local gamma factors and Gauss sums
by Nien, Chufeng
Finite fields and their applications, ISSN 1071-5797, 07/2017, Volume 46, pp. 255 - 270
Gamma factors | Local converse theorem | Generic representation | Whittaker models | Distinguished representation | Abelian Gauss sums
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16. Full Text On some geometric properties of quasi-sum production models
by Chen, Bang-Yen
Journal of mathematical analysis and applications, ISSN 0022-247X, 08/2012, Volume 392, Issue 2, pp. 192 - 199
Gauss–Kronecker curvature | Quasi-linear production function | Flat space | Production function | Quasi-sum production model | Gauss-Kronecker curvature | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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17. Full Text On the classical Gauss sum and the recursive properties
by Bai, Hui and Hu, Jiayuan
Advances in difference equations, ISSN 1687-1839, 12/2018, Volume 2018, Issue 1, pp. 1 - 6
Rational polynomial | The classical Gauss sum | Mathematics | Second-order linear recursive formula | Ordinary Differential Equations | Functional Analysis | Eighth character | Analysis | Difference and Functional Equations | 11L05 | Analytic method | Mathematics, general | Partial Differential Equations | Physical Sciences | Mathematics, Applied | Science & Technology | Polynomials
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18. Full Text Character Sum Factorizations Yield Sequences With Ideal Two-Level Autocorrelation
by Arasu, K. T and Dillon, J. F and Player, K. J
IEEE transactions on information theory, ISSN 0018-9448, 06/2015, Volume 61, Issue 6, pp. 3276 - 3304
Context | Correlation | Fourier transforms | Additives | Convolution | relative difference set | ideal two-level autocorrelation | Polynomials | p-ary sequence | character sum | Stickelberger congruence | Gauss sum | p-Ary sequence | Computer Science, Information Systems | Engineering, Electrical & Electronic | Engineering | Technology | Computer Science | Science & Technology | Sequences (Mathematics) | Coding theory | Research | Correlation (Statistics) | Factorials | Mathematical research | Electronics | Mathematics | Normal distribution | Correlation analysis
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19. Full Text Weighted Sum Rate Maximization of MIMO Broadcast and Interference Channels With Confidential Messages
by Daeyoung Park
IEEE transactions on wireless communications, ISSN 1536-1276, 03/2016, Volume 15, Issue 3, pp. 1742 - 1753
Transmitters | block successive lowerbound maximization | Receiving antennas | Broadcast channels | MIMO | Encoding | Interference channels | confidential messages | Gauss-Seidel iteration | Covariance matrices | interference channels | Engineering, Electrical & Electronic | Engineering | Telecommunications | Technology | Science & Technology | Algorithms
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20. Full Text An hybrid mean value of quadratic Gauss sums and a sum analogous to Kloosterman sums
by Pan, Xiaowei and Zhang, Han
Journal of inequalities and applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 8
hybrid mean value | quadratic Gauss sums | Analysis | identity | Mathematics, general | Mathematics | Applications of Mathematics | a sum analogous to Kloosterman sums | Quadratic Gauss sums | Identity | A sum analogous to Kloosterman sums | Hybrid mean value | Physical Sciences | Mathematics, Applied | Science & Technology | Computation | Mathematical analysis | Inequalities | Sums
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