Results 21 to 30 of about 58,161 (160)

Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories [PDF]

, 2004
This is the final fifth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity.
Ashtekar A, Ashtekar A, Ashtekar A, B Dittrich, Brunnemann J Thiemann T, Dittrich B, Dittrich B, Dittrich B, Dittrich B, Gel'fand I M, Giulini D, Giulini D, Kempf A, Klauder J, Marsden J E, Okolow A Lewandowski J, Reed M, Rovelli C, Rovelli C, Sahlmann H, Sahlmann H, Sahlmann H, Sahlmann H, Sahlmann H Thiemann T, Sahlmann H Thiemann T, Smolin L, T Thiemann, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T   +43 more
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Note on the quadratic Gauss sums [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
Let p be an odd prime and {χ(m) = (m/p)}, m = 0, 1, …, p − 1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ  modp which are defined in terms of the Legendre symbol (m/p), (m, p) = 1. We study the relation between the Gauss and the quadratic Gauss sums.
openaire   +3 more sources

The value distribution of incomplete Gauss sums

, 2012
It is well known that the classical Gauss sum, normalized by the square-root number of terms, takes only finitely many values. If one restricts the range of summation to a subinterval, a much richer structure emerges.
Chinen, Duke, Emek Demirci Akarsu, Jens Marklof, Jurkat   +4 more
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Quadratic Gauss Sums

Finite Fields and Their Applications, 1998
Let \(m\) be an odd positive integer, \(n\) an arbitrary positive integer, and \(p\) a prime which does not divide \(m\). Let \(\mathbb{F}_{p}\) be a prime finite field, \(\mathbb{F}_{q}\) a finite extension of \(\mathbb{F}_{p}\) of degree \(f\), so \(q=p^{f}\), and \( \chi\) a multiplicative character of \(\mathbb{F}_{q}\) of order \(m\). If \( \zeta_{
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Parallel Selective Algorithms for Big Data Optimization

, 2014
We propose a decomposition framework for the parallel optimization of the sum of a differentiable (possibly nonconvex) function and a (block) separable nonsmooth, convex one.
Facchinei, Francisco, Sagratella, Simone, Scutari, Gesualdo   +2 more
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Adaptive neural network method for multidimensional integration in arbitrary subdomains

Discrete and Continuous Models and Applied Computational Science
Multidimensional integration is a fundamental problem in computational mathematics with numerous applications in physics, engineering, and data science.
Margarita R. Shcherbak, Laysan R. Abdullina, Soltan I. Salpagarov, Vyacheslav M. Fedorishchev   +3 more
doaj   +1 more source

Generating weights for the Weil representation attached to an even order cyclic quadratic module [PDF]

, 2017
We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group.
Candelori, Luca, Franc, Cameron, Kopp, Gene S.   +2 more
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Gauss Sums and Quantum Mechanics

, 2000
By adapting Feynman's sum over paths method to a quantum mechanical system whose phase space is a torus, a new proof of the Landsberg-Schaar identity for quadratic Gauss sums is given.
Alice Rogers, Armitage J V, Berry M, Davison B, Dym H, Feynman R P, Hecke E, Landau E, Polya G, Schiff L, Schulman L S, Shor P W, Vernon Armitage, Waterhouse W C   +13 more
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Lattices with many Borcherds products [PDF]

, 2015
We prove that there are only finitely many isometry classes of even lattices $L$ of signature $(2,n)$ for which the space of cusp forms of weight $1+n/2$ for the Weil representation of the discriminant group of $L$ is trivial.
Bruinier, Jan Hendrik, Ehlen, Stephan, Freitag, Eberhard   +2 more
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An hybrid mean value of quadratic Gauss sums and a sum analogous to Kloosterman sums [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pan, Xiaowei, Zhang, Han
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