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Ramanujan Journal
Volumn 4, Issue 3, 2000, Pages 299-310
Counting lattice points by means of the residue theorem
Author keywords

Dedekind sums; Ehrhart polynomial; Lattice point enumeration in polytopes
Indexed keywords

EID: 0034339935     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009853104418     Document Type: Article
Times cited : (34)
References (14)
  • 1
    • 51249163698 scopus 로고
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    • (1994) Discrete Comput. Geom. , vol.12 , pp. 35-48
    • Barvinok, A.I.1
  • 2
    • 0033442825 scopus 로고    scopus 로고
    • The reciprocity law for Dedekind sums via the constant Ehrhart coefficient
    • M. Beck, "The reciprocity law for Dedekind sums via the constant Ehrhart coefficient," Amer. Math. Monthly 106 (5) (1999) 459-462.
    • (1999) Amer. Math. Monthly , vol.106 , Issue.5 , pp. 459-462
    • Beck, M.1
  • 4
    • 0031489237 scopus 로고    scopus 로고
    • Residue formulae, vector partition functions and lattice points in rational polytopes
    • M. Brion and M. Vergne, "Residue formulae, vector partition functions and lattice points in rational polytopes," J. Amer. Math. Soc. 10(4) (1997) 797-833.
    • (1997) J. Amer. Math. Soc. , vol.10 , Issue.4 , pp. 797-833
    • Brion, M.1    Vergne, M.2
  • 5
    • 0031508084 scopus 로고    scopus 로고
    • The Erhart polynomial of a lattice polytope
    • R. Diaz and S. Robins, "The Erhart polynomial of a lattice polytope," Annals of Math. 145 (1997) 503-518.
    • (1997) Annals of Math. , vol.145 , pp. 503-518
    • Diaz, R.1    Robins, S.2
  • 6
    • 84955835810 scopus 로고
    • Sur un problème de géométrie diophantienne linéaire II
    • E. Ehrhart, "Sur un problème de géométrie diophantienne linéaire II," J. reine angewandte Math. 227 (1967) 25-49.
    • (1967) J. Reine Angewandte Math. , vol.227 , pp. 25-49
    • Ehrhart, E.1
  • 8
    • 0000215759 scopus 로고
    • The Riemann-Roch theorem for integrals and sums of quasipolynomials on virtual polytopes
    • A.G. Khovanskii and A.V. Pukhlikov, "The Riemann-Roch theorem for integrals and sums of quasipolynomials on virtual polytopes," St. Petersburg Math. J. 4(4) (1993) 789-812.
    • (1993) St. Petersburg Math. J. , vol.4 , Issue.4 , pp. 789-812
    • Khovanskii, A.G.1    Pukhlikov, A.V.2
  • 9
    • 0000242152 scopus 로고
    • Polynomials associated with finite cell complexes
    • I.G. MacDonald, "Polynomials associated with finite cell complexes," J. London Math. Soc. 4 (1971) 181-192.
    • (1971) J. London Math. Soc. , vol.4 , pp. 181-192
    • MacDonald, I.G.1
  • 10
    • 0001979028 scopus 로고
    • Lattice invariant valuations on rational polytopes
    • P. McMullen, "Lattice invariant valuations on rational polytopes," Arch. Math. (Basel) 31(5) (1978/1979) 509-516.
    • (1978) Arch. Math. (Basel) , vol.31 , Issue.5 , pp. 509-516
    • McMullen, P.1
  • 11
    • 0002373288 scopus 로고
    • Toric varieties, lattice points, and Dedekind sums
    • J. Pommersheim, "Toric varieties, lattice points, and Dedekind sums," Math. Ann. 295 (1993) 1-24.
    • (1993) Math. Ann. , vol.295 , pp. 1-24
    • Pommersheim, J.1
  • 14
    • 0000315968 scopus 로고
    • Higher dimensional Dedekind sums
    • D. Zagier. "Higher dimensional Dedekind sums," Math. Ann. 202 (1973) 149-172.
    • (1973) Math. Ann. , vol.202 , pp. 149-172
    • Zagier, D.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.