Results 31 to 40 of about 164,093 (140)
On sums of Kloosterman and Gauss sums
Transactions of the American Mathematical Society, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inner topological structure of Hopf invariant
, 2007 In light of $\phi$-mapping topological current theory, the inner topological structure of Hopf invariant is investigated. It is revealed that Hopf invariant is just the winding number of Gauss mapping.
Bott R. +5 more
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On Gauss sums and the evaluation of Stechkin’s constant [PDF]
Mathematics of Computation, 2015 16 pages, 3 figures, 2 ...
William D. Banks, Igor E. Shparlinski
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Products related to Gauss sums.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1974 Let \(m\geq 2\) be an integer, let \(p\) be a prime with \(p\equiv 1\pmod m\) and let \(\rho\) be a primitive \(m\)-th root of unity. Then \(p\) splits completely in the cyclotomic field \(\mathbb Q(\rho)\) and, if we pick \(\mathfrak p\) to be one of the prime divisors of \(p\) in \(\mathbb Q(\rho)\) we define a character \(\chi\) of order \(m\) on \(\
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New solutions of Heun general equation
, 2009 We show that in four particular cases the derivative of the solution of Heun general equation can be expressed in terms of a solution to another Heun equation.
Appell P +12 more
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Sums of Gauss sums and weights of irreducible codes
Finite Fields and Their Applications, 2005 This paper develops a matrix approach to compute a certain sum of Gauss sums that arises in the study of weights of irreducible codes. The authors have further derived a lower bound on the minimum weight of certain irreducible codes. Though the studies made have been restricted to binary codes, however, the methods of this paper applies to codes of odd
Fitzgerald, Robert W., Yucas, Joseph L.
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Q-power function over Q-commuting variables and deformed XXX, XXZ chains
, 2000 We find certain functional identities for the Gauss q-power function of a sum of q-commuting variables. Then we use these identities to obtain two-parameter twists of the quantum affine algebra U_q (\hat{sl}_2) and of the Yangian Y(sl_2).
A. A. Belavin +13 more
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Proceedings of the American Mathematical Society, 2005 A recent bound for exponential sums by Friedlander, Hansen and Shparlinski is extended to twisted exponential sums with general polynomial arguments. As a by-product a new result about perfect powers in certain products of polynomials is established.
Cohen, Stephen D. +4 more
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Gauss images of hyperbolic cusps with convex polyhedral boundary [PDF]
, 2009 We prove that a 3--dimensional hyperbolic cusp with convex polyhedral boundary is uniquely determined by its Gauss image. Furthermore, any spherical metric on the torus with cone singularities of negative curvature and all closed contractible geodesics ...
Fillastre, François, Izmestiev, Ivan
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On the Solution of Gauss Circle Problem Conjecture (Revised)
, 2015 We give a proof of a mean value asymptotic formula for the number of representations of an integer as sum of two squares known as the Gauss circle problem.Comment: Gauss Circle ...
Bagis, Nikolaos D.
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