Results 31 to 40 of about 121,729 (283)
The Iwasawa Main Conjecture and Gauss Sums [PDF]
, 2001 In this paper, we give a new proof of the Iwasawa main conjecture using the Euler systems of Gauss sums. Our proof is different from that of Mazur and Wiles and that of Rubin and Greither.
Aoki, Miho, Miho Aoki
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On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums
Journal of Mathematics, 2021 The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to ...
Xiaoling Xu
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Explicit multiplicative relations between Gauss sums [PDF]
, 2007 H. Hasse conjectured that all multiplicative relations between Gauss sums essentially follow from the Davenport–Hasse product formula and the norm relation for Gauss sums.
Murray, Brian J., Brian J. Murray
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Gauss Optics and Gauss Sum on an Optical Phenomena [PDF]
Foundations of Physics, 2008 In the previous article (Found Phys. Lett. {\bf{16}} 325-341), we showed that a reciprocity of the Gauss sums is connected with the wave and particle complementary. In this article, we revise the previous investigation by considering a relation between the Gauss optics and the Gauss sum based upon the recent studies of the Weil representation for a ...
openaire +2 more sources
Explicit multiplicative relations between Gauss sums [PDF]
, 2002 H.Hasse conjectured that all multiplicative relations between Gauss sums essentially follow from the Davenport-Hasse product formula and the norm relation for Gauss sums.
Murray, Brian J.
core +1 more source
A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums
Journal of Mathematics, 2021 The main purpose of this paper is using analytic methods and the properties of the Dedekind sums to study one kind hybrid power mean calculating problem involving the Dedekind sums and cubic Gauss sum and give some interesting calculating formulae for it.
Jiayuan Hu, Yu Zhan, Qin Si
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Higher Gauss sums of modular categories [PDF]
, 2019 The definitions of the nth Gauss sum and the associated nth central charge are introduced for premodular categories C and n∈ Z. We first derive an expression of the nth Gauss sum of a modular category C, for any integer n coprime to the order of the T ...
Wang, Yilong +2 more
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A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums
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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On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums
Journal of Mathematics, 2021 In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the ...
Shaofan Cao, Tingting Wang
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On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
Abstract and Applied Analysis, 2013 The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact ...
Di Han, Wenpeng Zhang
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