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math.COSep 10, 2015
authors
  • Aki Mori
  • Takeshi Morita
  • Akihiro Shikama
arXiv abstractPDF
paper

Multibasic Ehrhart theory

arXiv:1509.03121

Abstract

In the present paper, we introduce a multibasic extension of the Ehrhart theory. We give a multibasic extension of Ehrhart polynomials and Ehrhart series. We also show that an analogue of Ehrhart reciprocity holds for multibasic Ehrhart polynomials.

References in corpus (2)

  • Summation, transformation, and expansion formulas for multibasic theta hypergeometric series
  • q-analogues of Ehrhart polynomials
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