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- Alin Bostan, Salah Boukraa, Saoud Hassani, J. Maillard, J. Weil, N Zenine
- 2009

We recall various multiple integrals with one parameter, related to the isotropic square Ising model, and corresponding, respectively, to the n-particle contributions of the magnetic susceptibility,â€¦ (More)

- Alin Bostan, Salah Boukraa, +4 authors N. Abarenkova
- 2010

1 INRIA Paris-Rocquencourt, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France 2 LPTHIRM and DÃ©partement dâ€™AÃ©ronautique, UniversitÃ© de Blida, 09470 Blida, Algeria 3 Centre de Rechercheâ€¦ (More)

- Paulo Giovanni de Abreu, W. Adam, +418 authors Marilena Sannino
- 1996

An analysis of inclusive production of K and the meson resonances K (892), (770), f0(975) and f2(1270) in hadronic decays of the Z is presented, based on about 973,000 multihadronic events collectedâ€¦ (More)

- Salah Boukraa, J. Maillard
- 2016

We recall that the full susceptibility series of the Ising model, modulo powers of the prime 2, reduce to algebraic functions. We also recall the nonlinear polynomial differential equation obtainedâ€¦ (More)

- Alin Bostan, Salah Boukraa, +4 authors N Zenine
- 2009

We consider the Fuchsian linear differential equation obtained (modulo a prime) for Ï‡Ìƒ (5), the five-particle contribution to the susceptibility of the square lattice Ising model. We show that oneâ€¦ (More)

- N Zenine, Salah Boukraa, Saoud Hassani, J. Maillard
- 2005

We present a simple, but efficient, way to calculate connection matrices between sets of independent local solutions, defined at two neighbouring singular points, of Fuchsian differential equationsâ€¦ (More)

- Salah Boukraa, Anthony J. Guttmann, +4 authors N. Zenine
- 2008

We calculate very long lowand high-temperature series for the susceptibility Ï‡ of the square lattice Ising model as well as very long series for the five-particle contribution Ï‡(5) and six-particleâ€¦ (More)

- Bernhard Nickel, Iwan Jensen, +4 authors N Zenine
- 2010

We obtain in exact arithmetic the order 24 linear differential operator L24 and the right-hand side E(5) of the inhomogeneous equation L24( (5)) = E(5), where (5) = Ï‡Ìƒ (5) âˆ’ Ï‡Ìƒ (3)/2 + Ï‡Ìƒ (1)/120 isâ€¦ (More)

We revisit miscellaneous linear differential operators mostly associated with lattice Green functions in arbitrary dimensions, but also Calabiâ€“Yau operators and order-7 operators corresponding toâ€¦ (More)

We study the full susceptibility of the Ising model modulo powers of primes. We find exact functional equations for the full susceptibility modulo these primes. Revisiting some lesser-known resultsâ€¦ (More)