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680,880
The exact formula for neutrino oscillations
, 1998
"... We present the exact formula for neutrino oscillations. By resorting to recent results of Quantum Field Theory of fermion mixing, we work out the Green’s function formalism for mixed neutrinos. The usual quantum mechanical Pontecorvo formula is recovered in the relativistic limit. P.A.C.S.: 14.60.Pq ..."
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We present the exact formula for neutrino oscillations. By resorting to recent results of Quantum Field Theory of fermion mixing, we work out the Green’s function formalism for mixed neutrinos. The usual quantum mechanical Pontecorvo formula is recovered in the relativistic limit. P.A.C.S.: 14
EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS
, 2011
"... In previous work, we introduced harmonic Maass–Jacobi forms. The space of such forms includes the classical Jacobi forms and certain Maass–Jacobi–Poincare series, as well as Zwegers’ realanalytic Jacobi forms, which play an important role in the study of mock theta functions and related objects. Ha ..."
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Cited by 1 (1 self)
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. Harmonic Maass–Jacobi forms decompose naturally into holomorphic and nonholomorphic parts. In this paper, we give exact formulas for the Fourier coefficients of the holomorphic parts of harmonic Maass–Jacobi forms and, in particular, we obtain explicit formulas for the Fourier coefficients of weak Jacobi
Riemann’s Explicit/Exact formula
, 2013
"... 2. Analytic continuation and functional equation of ζ(s) ..."
ON AN EXACT FORMULA FOR THE COEFFICIENTS OF HAN’S GENERATING FUNCTION
"... Abstract. Given a positive integer t and a partition λ, define Ht(λ) to be the multiset of hook lengths of λ that are divisble by t. For each nonnegative integer n, we consider the quantity at(n) = aeven t (n) − aodd t (n), where aeven t (n) (resp. aodd t (n)) is the number of partitions λ of n fo ..."
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for which Ht(λ) has an even (resp. odd) number of elements. We prove an exact formula for aeven t (n) − aodd t (n) using a generating function for at(n) discovered by Han in his generalization of the NekrasovOkounkov formula. Moreover, we obtain corollaries which describe the asymptotic behavior and sign
EXACT FORMULAS FOR TRACES OF SINGULAR MODULI OF HIGHER LEVEL MODULAR FUNCTIONS
, 2007
"... Abstract. Zagier proved that the traces of singular values of the classical jinvariant are the Fourier coefficients of a weight 3 modular form 2 and Duke provided a new proof of the result by establishing an exact formula for the traces using Niebur’s work on a certain class of nonholomorphic modul ..."
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Abstract. Zagier proved that the traces of singular values of the classical jinvariant are the Fourier coefficients of a weight 3 modular form 2 and Duke provided a new proof of the result by establishing an exact formula for the traces using Niebur’s work on a certain class of nonholomorphic
Exact Formulae for the Perfect Power Counting Function and the nth Perfect Power
"... Copyright c © 2013 Rafael Jakimczuk. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. There exist in the literature various exact form ..."
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Cited by 1 (0 self)
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formulae for the prime counting function π(x) and the nth prime pn. These formulae use the floor function. In this note we present exact formulae for the perfect power counting function N(x) and the nth perfect power Pn. These formulae also use the floor function.
Exact Formulas for the Average Internode Distance in Mesh and Binary Tree Networks
"... Abstract The average internode distancein an interconnection network (or its average distance for short) is an indicator of expected message latency in that network under light and moderate network traffic. Unfortunately, it is not always easy to find an exact value for the average internode distanc ..."
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distance, particularly for networks that are not nodesymmetric, because the computation must be repeated for many classes of nodes. In this short paper, we derive exact formulas for the average internode distance in mesh and complete binary tree networks.
An exact formula for the L2 discrepancy of the shifted Hammersley point set
, 2006
"... In this note we prove an exact formula for the L2 discrepancy of the shifted twodimensional Hammersley point set in base 2. Our formula shows that this quantity only depends on the number of zero digits in the dyadic expansion of the shift and the cardinality of the point set. Our result is the sol ..."
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Cited by 7 (3 self)
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In this note we prove an exact formula for the L2 discrepancy of the shifted twodimensional Hammersley point set in base 2. Our formula shows that this quantity only depends on the number of zero digits in the dyadic expansion of the shift and the cardinality of the point set. Our result
EXACT FORMULAS FOR RANDOM GROWTH WITH HALFFLAT INITIAL DATA
"... Abstract. We obtain exact formulas for moments and generating functions of the height function of the asymmetric simple exclusion process at one spatial point, starting from special initial data in which every positive even site is initially occupied. These complement earlier formulas of E. Lee [Le ..."
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Abstract. We obtain exact formulas for moments and generating functions of the height function of the asymmetric simple exclusion process at one spatial point, starting from special initial data in which every positive even site is initially occupied. These complement earlier formulas of E. Lee
EXACT FORMULAS FOR THE MOMENTS OF THE FIRST PASSAGE TIME OF REWARD PROCESSES Authors:
"... • Let {Zρ(t), t ≥ 0} be a reward process based on a semiMarkov process {J (t), t ≥ 0} and a reward function ρ. Let Tz be the first passage time of {Zρ(t), t ≥ 0} from Zρ(0) = 0 to a prespecified level z. In this article we provide the Laplace transform of the E[T k z] and obtain the exact formulas ..."
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• Let {Zρ(t), t ≥ 0} be a reward process based on a semiMarkov process {J (t), t ≥ 0} and a reward function ρ. Let Tz be the first passage time of {Zρ(t), t ≥ 0} from Zρ(0) = 0 to a prespecified level z. In this article we provide the Laplace transform of the E[T k z] and obtain the exact
Results 1  10
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680,880