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MR1190788 14M25 (14C40 52B20)
Pukhlikov, A. V.; Khovanskiĭ, A. G. The Riemann-Roch theorem for integrals and sums of quasipolynomials on virtual polytopes. (Russian) Algebra i Analiz 4 (1992), no. 4, 188--216; translation in St. Petersburg Math. J. 4 (1992), no. 4, 789–812
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