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International Journal of Number Theory, ISSN 1793-0421, 02/2016, Volume 12, Issue 1, pp. 15 - 25
In this paper, we extend the Euler decomposition theorem to a much more general form of the decomposition of the product of n multiple zeta values of height one... 
Multiple zeta value | Euler decomposition theorem | MATHEMATICS | SUM FORMULA
Journal Article
Journal of Number Theory, ISSN 0022-314X, 05/2015, Volume 150, pp. 1 - 20
The classical Euler decomposition theorem expresses a product of two Riemann zeta values in terms of double Euler sums... 
Multiple zeta value | Euler decomposition theorem | MATHEMATICS
Journal Article
Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, ISSN 1364-5021, 11/2011, Volume 467, Issue 2135, pp. 3206 - 3221
Journal Article
Journal of Symplectic Geometry, ISSN 1527-5256, 2016, Volume 14, Issue 3, pp. 737 - 766
A polytope cone decomposition expresses the characteristic function of a polytope as a sum of characteristic functions of convex cones associated to its faces... 
MATHEMATICS | INTEGRAL POLYTOPES | LOCALIZATION | EQUIVARIANT COHOMOLOGY | THEOREM | EULER-MACLAURIN | FORMULAS
Journal Article
Journal of Number Theory, ISSN 0022-314X, 06/2017, Volume 175, pp. 200 - 222
..., α ≥2 and positive numbers x ,x ,…,x . Especially, we extend Euler decomposition theorem which expressed a product of two Riemann zeta values in terms of Euler double sums, to a more general decomposition theorem which expressed products... 
Multiple zeta value | Hurwitz zeta functions | Euler decomposition theorem | MATHEMATICS | Business schools
Journal Article
Annales de l'Institut Henri Poincaré. Analyse non linéaire, ISSN 0294-1449, 2018, Volume 35, Issue 1, pp. 161 - 186
...–Poisson system in a cylinder supplemented with non-small boundary data. A special Helmholtz decomposition of the velocity field is introduced for 3-D axisymmetric flow with a nonzero swirl... 
Transport equation | Axisymmetric | Subsonic | Swirl | Helmholtz decomposition | Elliptic system | Steady Euler–Poisson system | Singular elliptic equation | EXISTENCE THEOREM | MATHEMATICS, APPLIED | HYDRODYNAMIC MODEL | SEMICONDUCTORS | STABILITY | NOZZLE | EQUATIONS | VARIABLE END PRESSURE | Steady Euler-Poisson system | POTENTIAL FLOW | TRANSONIC SHOCK SOLUTIONS
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 0027-8424, 11/2012, Volume 109, Issue 45, pp. 18324 - 18326
Journal Article
Journal of Number Theory, ISSN 0022-314X, 08/2013, Volume 133, Issue 8, pp. 2475 - 2495
The classical Euler decomposition theorem expressed a product of two Riemann zeta values in terms of double Euler sums... 
Euler sums | Multiple zeta values | Euler decomposition theorem | Shuffle product formula | Drinfeld integrals | MATHEMATICS | VALUES | SUM FORMULA
Journal Article
Journal of combinatorics and number theory, ISSN 1942-5600, 05/2015, Volume 7, Issue 2, p. 111
... ... multiple zeta values of weight m+n. The well-known Euler decomposition theorem can be obtained from the shuffle product of two Riemann zeta values... 
Eulers equations | Mathematics | Combinatorics | Number theory
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 2012, Volume 25, Issue 3, pp. 486 - 489
In an attempt to present a refinement of Faulhaber’s theorem concerning sums of powers of natural numbers, the authors investigate and derive all the possible decompositions of the polynomial S a , b k ( x... 
Bernoulli polynomials and Bernoulli numbers | Decomposition | Laguerre polynomials | Ring of polynomials | Sums of powers of natural numbers | Faulhaber’s polynomials | Faulhaber's polynomials | MATHEMATICS, APPLIED | EULER POLYNOMIALS | BERNOULLI
Journal Article
Mathematical methods in the applied sciences, ISSN 1099-1476, 2008, Volume 31, Issue 9, pp. 1113 - 1130
Journal Article
Milan Journal of Mathematics, ISSN 1424-9286, 6/2015, Volume 83, Issue 1, pp. 21 - 45
... qu - j v v T j v , : w j : F , , ( ) := k H ( ( ) ) - u fi A fi v u u qu w w : W w y b : ? O , , ( )= ( 1) ( ) Eu ( ), W w y b : ? Vol.83 (2015) Support Theorems... 
Primary 14D05 | Stratification theory | Analysis | Mathematics, general | Mathematics | local Euler Obstruction | Intersection Cohomology | Secondary 14F45 | HODGE | TOPOLOGY | MATHEMATICS | MATHEMATICS, APPLIED | Intersection cohomology | DECOMPOSITION THEOREM
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 4/2018, Volume 359, Issue 2, pp. 733 - 763
... An Onsager Singularity Theorem for T urbulent Solutions of Compressible Euler Equations Theodore D. Drivas 1,3 , Gregory L. Eyink 1,2 1 Department of Applied Mathematics... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | DISSIPATION | WEAK SOLUTIONS | PHYSICS, MATHEMATICAL | ENERGY-CONSERVATION | CONJECTURE | Thermodynamics | Astronomy | Force and energy
Journal Article
Taiwanese journal of mathematics, ISSN 1027-5487, 2/2016, Volume 20, Issue 1, pp. 13 - 24
The classical Euler decomposition theorem expressed a product of two Riemann zeta values... 
Integers | Mathematical theorems | Value theorems | Multiple zeta values | Shuffle product | Euler decomposition theorem | MATHEMATICS | SUM FORMULAS
Journal Article
Annals of Applied Probability, ISSN 1050-5164, 04/2018, Volume 28, Issue 2, pp. 912 - 940
..., we establish a limit theorem for the discretization errors in simulation of supremum and its time, which extends the result in [Ann. Appl. Probab. 5 (1995) 875-896] for a linear Brownian motion. Additionally, complete characterization of the domains of attraction when zooming in on a Levy process is provided. 
Small-time behaviour | Discretization error | High frequency statistics | Functional limit theorem | Invariance principle | Domains of attraction | Conditioned to stay positive | Euler scheme | Scaling limits | Mixing convergence | Self-similarity | mixing convergence | WIENER-HOPF FACTORIZATION | TIMES | APPROXIMATIONS | invariance principle | SMALL JUMPS | STATISTICS & PROBABILITY | small-time behaviour | self-similarity | SIMULATION | high frequency statistics | discretization error | PATH DECOMPOSITIONS | scaling limits | RANDOM-WALKS | INVARIANCE-PRINCIPLES | DISCRETE | PASSAGE | domains of attraction | functional limit theorem
Journal Article
Annals of Probability, ISSN 0091-1798, 11/2018, Volume 46, Issue 6, pp. 3188 - 3228
Journal Article
Journal of Algebra, ISSN 0021-8693, 04/2013, Volume 380, pp. 46 - 77
.... As an application, we generalize the well-known decomposition formula of Euler that expresses the product of two Riemann zeta values as a sum of double zeta values to a formula that expresses... 
Multiple zeta values | Double shuffle relation | Eulerʼs decomposition formula | Multiple polylogarithm values | Euler's decomposition formula | MATHEMATICS | MULTIPLE ZETA-VALUES | ALGEBRAS | FEYNMAN DIAGRAMS | MOTIVES | RENORMALIZATION
Journal Article
Mathematical Sciences, ISSN 2008-1359, 12/2015, Volume 9, Issue 4, pp. 215 - 223
.... The first application is a hypergeometric-type decomposition formula for elementary special functions and the second one is a generalization of the well-known Euler identity $$e^{i\,x} = \cos x + i\,\sin x$$ e i x = cos x... 
Hypergeometric functions | Classical hypergeometric orthogonal polynomials | Classical summation theorems | 33C15 | Euler identity | 33C20 | Mathematics | Applications of Mathematics | Hyperbolic functions | 33C05 | Functions (mathematics) | Theorems | Mathematical analysis | Texts | Polynomials | Decomposition
Journal Article
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