Results 21 to 30 of about 6,655 (117)
Products of quadratic residues and related identities
Colloquium Mathematicum, 2021 . We study products of quadratic residues modulo odd primes and prove some identities involving quadratic residues. For instance, let p be an odd prime.
Hai-Liang Wu, Li-Yuan Wang
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Higher order moments of generalized quadratic Gauss sums weighted by $L$-functions [PDF]
Asian Journal of Mathematics, 2021 . The main purpose of this paper is to study higher order moments of the generalized quadratic Gauss sums weighted by L-functions using estimates for character sums and analytic methods.
Nilanjan Bag, Rupam Barman
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Asymmetric brane-worlds with induced gravity [PDF]
, 2005 The Randall-Sundrum scenario, with a 1+3-dimensional brane in a 5-dimensional bulk spacetime, can be generalized in various ways. We consider the case where the Z2-symmetry at the brane is relaxed, and in addition the gravitational action is generalized ...
Gergely, Laszlo, Maartens, Roy
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Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm [PDF]
, 2007 Let $\F_q$ ($q=p^r$) be a finite field. In this paper the number of irreducible polynomials of degree $m$ in $\F_q[x]$ with prescribed trace and norm coefficients is calculated in certain special cases and a general bound for that number is obtained ...
Moisio, Marko
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Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3 [PDF]
, 2013 We consider states with large angular momentum to facilitate the study of the M-theory regime of the AdS_4/CFT_3 correspondence. We study the duality between M-theory in AdS_4xS^7/Z_k and the ABJM N=6 Chern-Simons-matter theory with gauge group U(N)xU(N)
Kovacs, Stefano +2 more
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On the Fourth Hybrid Power Mean Involving the Generalized Gauss Sums
Journal of mathematics, 2023 In this paper, we use the elementary and analytic methods to study the fourth hybrid power mean involving the generalized Gauss sums and prove several interesting identities for them.
Xiaoge Liu, Yuanyuan Meng
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One level density of low-lying zeros of families of $L$-functions [PDF]
, 2010 In this paper, we prove some one level density results for low-lying zeros of families of $L$-functions. More specifically, the families under consideration are that of $L$-functions of holomorphic Hecke eigenforms of level 1 and weight $k$ twisted with ...
Davenport +4 more
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On the $ k $-th power mean of one kind generalized cubic Gauss sums
AIMS Mathematics, 2023 The main purpose of this paper is using the elementary methods and properties of the recurrence sequence to study the calculating problem of the $ k $-th power mean of one kind generalized cubic Gauss sums, and give an exact calculating formula for it.
Xiaoge Liu, Yuanyuan Meng
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On the classical Gauss sums and their some new identities
AIMS Mathematics, 2022 In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the calculating problems of some Gauss sums involving the character of order $ 12 $ modulo an odd prime $ p $, and obtain several new and interesting ...
Wenpeng Zhang, Xiaodan Yuan
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On the hybrid power mean of two kind different trigonometric sums
Open Mathematics, 2019 The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
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