Results 11 to 20 of about 1,424,186 (337)
Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2018 We give a new bound on colinear triples in subgroups of prime finite fields and use it to give some new bounds on exponential sums with ...
Shparlinski, Igor ; https://orcid.org/ +3 more
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New Mixed Exponential Sums and Their Application [PDF]
Journal of Applied Mathematics, 2014 The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting ...
Yu Zhan, Xiaoxue Li
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On Some Exponential Sums [PDF]
Proceedings of the National Academy of Sciences, 1948 Verf. entwickelt den Zusammenhang zwischen zyklischen algebraischen Kongruenzfunktionen\-körpern einerseits und Charakter- bzw. Exponentialsummen andrerseits. Seiner einleitenden Bemerkung, daß er eine genaue Formulierung dieses Zusammenhangs in der Literatur nicht finden konnte, sei durch den Hinweis auf folgende Arbeiten begegnet: Ref. [J.
A. Weil
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The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums
MathematicsIn this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p, a topic of significant importance in analytic number theory.
Guohui Chen, Tingting Du
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A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums [PDF]
Journal of Applied Mathematics, 2014 The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study the hybrid mean value problem involving the two-term exponential sums and two-term character sums and give an interesting asymptotic formula
Liu Miaohua, Li Xiaoxue
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IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES [PDF]
Forum of Mathematics, Pi, 2019 We prove an upper bound on the log canonical threshold of a hypersurface that satisfies a certain power condition and use it to prove several generalizations of Igusa’s conjecture on exponential sums, with the log canonical threshold in the exponent of ...
RAF CLUCKERS +2 more
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The hybrid mean value of Dedekind sums and two-term exponential sums
Open Mathematics, 2016 In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and ...
Leran Chang, Xiaoxue Li
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Exponential sums and Riesz energies [PDF]
Journal of Number Theory, 2018 to appear in Journal of Number ...
S. Steinerberger
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Exponential sums equations and tropical geometry [PDF]
Selecta Mathematica, 2022 Zilber’s Exponential-Algebraic Closedness Conjecture states that algebraic varieties in $${{\mathbb {C}}}^n \times ({{\mathbb {C}}}^\times )^n$$ C n × ( C × ) n intersect the graph of complex exponentiation, unless that contradicts the algebraic and ...
F. Gallinaro
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Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients [PDF]
Analysis and Applications, 2021 In this paper, we derive a new recovery procedure for the reconstruction of extended exponential sums of the form [Formula: see text], where the frequency parameters [Formula: see text] are pairwise distinct.
Nadiia Derevianko, G. Plonka-Hoch
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