Results 41 to 50 of about 29,966 (283)
Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
Journal of High Energy Physics, 2018 We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on large classes of periods that is applied in particular to elliptic ...
Johannes Broedel +4 more
doaj +1 more source
, 2017 We introduce a class of iterated integrals that generalize multiple polylogarithms to elliptic curves. These elliptic multiple polylogarithms are closely related to similar functions defined in pure math- ematics and string theory.
Broedel, Johannes +3 more
core +1 more source
Approximation and Complexity II: Iterated Integration [PDF]
Foundations of Computational Mathematics, 2002 We introduce two classes of real analytic functions W U on an interval. Starting with rational functions to construct functions in W we allow the application of three types of operations: addition, integration and multiplication by a polynomial with rational coe cients.
openaire +3 more sources
Non-holomorphic modular forms from zeta generators
Journal of High Energy PhysicsWe study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL(2, ℤ) known as equivariant iterated Eisenstein integrals.
Daniele Dorigoni +7 more
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Two-loop master integrals for pseudo-scalar quarkonium and leptonium production and decay
Journal of High Energy Physics, 2022 We compute the master integrals relevant for the two-loop corrections to pseudo-scalar quarkonium and leptonium production and decay. We present both analytic and high-precision numerical results.
Samuel Abreu +3 more
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Although not always achieved, complete chemotherapy‐induced nausea and vomiting (CINV) control is the conventional goal of CINV prophylaxis. In this two‐center, mixed‐methods study, we sought to understand the preferences of adolescent patients and family caregivers for CINV control endpoints.
Haley Newman +8 more
wiley +1 more source
On integrality of p-adic iterated integrals
Journal of Algebra, 2017 24 pages, improved result on the valuations of p-adic multiple zeta ...
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On Iterated Numerical Integration [PDF]
, 2005 We revisit the iterated numerical integration method and show that it is extremely efficient in solving certain classes of problems. A multidimensional integral can be approximated by a combination of lower-dimensional or one-dimensional adaptive methods iteratively. When an integrand contains sharp ridges which are not parallel with any axis, iterated
Shujun Li +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Nurses are central to cancer care for children and adolescents, yet no comprehensive synthesis has defined essential core competencies for pediatric oncology nursing (PON) practice internationally, particularly in Latin America and the Caribbean (LAC).
Luís Carlos Lopes‐Júnior +7 more
wiley +1 more source
Pentagon functions for one-mass planar scattering amplitudes
Journal of High Energy Physics, 2022 We present analytic results for all planar two-loop Feynman integrals contributing to five-particle scattering amplitudes with one external massive leg.
Dmitry Chicherin +2 more
doaj +1 more source