Concept

Exponential sum

OpenAlex ID: C53638454

On approximation of functions by exponential sums

2005 · Gregory Beylkin, Lucas Monzón · Applied and Computational Harmonic Analysis · 343

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Gauss sums, Kloosterman sums, and monodromy groups

1987 · Nicholas M. Katz · 264

More on the Sum-product Phenomenon in Prime Fields and Its Applications

2005 · J. BOURGAIN · International Journal of Number Theory · 262

Exponential-sum fitting of radiative transmission functions

1977 · W.J. Wiscombe, J.W. Evans · Journal of Computational Physics · 259

Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)

1988 · Nicholas M. Katz · Princeton University Press eBooks · 221

Spectral analysis of gravity and magnetic anomalies due to two-dimensional structures

1975 · B. K. Bhattacharyya, L.-K. Leu · Geophysics · 182

Deformed exponentials and logarithms in generalized thermostatistics

2002 · Jan Naudts · Physica A Statistical Mechanics and its Applications · 153

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New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum

2000 · D. Heath-Brown · The Quarterly Journal of Mathematics · 153

Nonlinear Approximation by Trigonometric Sums

1995 · R.A. DeVore, V.N. Temlyakov · Journal of Fourier Analysis and Applications · 93

On a variant of sum-product estimates and explicit exponential sum bounds in prime fields

2008 · J. BOURGAIN, M. Z. GARAEV · Mathematical Proceedings of the Cambridge Philosophical Society · 92

Efficient algorithmic implementation of the Voigt/complex error function based on exponential series approximation

2011 · S.M. Abrarov, B.M. Quine · Applied Mathematics and Computation · 89

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Multilinear Exponential Sums in Prime Fields Under Optimal Entropy Condition on the Sources

2009 · Jean Bourgain · Geometric and Functional Analysis · 85

On moments of twisted L-functions

2017 · Valentin Blomer, Étienne Fouvry, et al. · American Journal of Mathematics · 69

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Pure and mixed exponential sums

1999 · Todd Cochrane, Zhiyong Zheng · Acta Arithmetica · 66

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Using Stepanov's method for exponential sums involving rational functions

2005 · Todd Cochrane, Christopher Pinner · Journal of Number Theory · 65

Equidistribution in Number Theory, An Introduction

2006 · Granville, Andrew, Rudnick, Zeev · Springer eBooks · 63

Several New Classes of Bent Functions From Dillon Exponents

2012 · Nian Li, Tor Helleseth, et al. · IEEE Transactions on Information Theory · 60

Nonlinear Approximation by Sums of Exponentials and Translates

2011 · Thomas Peter, Daniel Potts, et al. · SIAM Journal on Scientific Computing · 49

On the structure of quadratic Gauss sums in the Talbot effect

2017 · Carlos R. Fernández-Pousa · Journal of the Optical Society of America A · 48

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On the sixth power mean of the two-term exponential sums

2013 · Wenpeng Zhang, Di Han · Journal of Number Theory · 47

Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm

2012 · Marko Moisio · 47

Robust Estimation of the Discrete Spectrum of Relaxations for Electromagnetic Induction Responses

2009 · Mu-Hsin Wei, W.R. Scott, et al. · IEEE Transactions on Geoscience and Remote Sensing · 47

On Least Squares Exponential Sum Approximation With Positive Coefficients

1980 · John W. Evans, William B. Gragg, et al. · Mathematics of Computation · 47

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Primes with an average sum of digits

2009 · Michael Drmota, Christian Mauduit, et al. · Compositio Mathematica · 45

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On sums of squares of primes

2006 · GLYN HARMAN, ANGEL V. KUMCHEV · Mathematical Proceedings of the Cambridge Philosophical Society · 43

Works count: 764

Citation count: 6,615