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Volumn 46, Issue 11, 2013, Pages

Lattice sums arising from the Poisson equation

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EID: 84874820818     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/46/11/115201     Document Type: Article
Times cited : (16)

References (22)
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  • 2
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    • Compressed lattice sums arising from the Poisson equation: Dedicated to Professor Hari Sirvastava
    • Bailey D H and Borwein J M 2012 Compressed lattice sums arising from the Poisson equation: Dedicated to Professor Hari Sirvastava Bound. Value Problems submitted
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    • Bailey, D.H.1    Broadhurst, D.J.2
  • 8
    • 84910120509 scopus 로고    scopus 로고
    • Unified algorithms for polylogarithms, L-functions, and zeta variants
    • Crandall R 2011 Unified algorithms for polylogarithms, L-functions, and zeta variants Algorithmic Reflections: Selected Works (Portland, OR: PSIpress)
    • (2011) Algorithmic Reflections: Selected Works
    • Crandall, R.1
  • 10
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    • Some new lattice sums including an exact result for the electrostatic potential within the NaCl lattice
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    • The evaluation of lattice sums: III. Phase modulated sums
    • 10.1063/1.1666619 0022-2488
    • Glasser M L 1974 The evaluation of lattice sums: III. Phase modulated sums J. Math. Phys. 15 188-9
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    • Glasser, M.L.1
  • 15
    • 84874929076 scopus 로고    scopus 로고
    • Jacobi theta functions
    • Weisstein E 2013 Jacobi theta functions MathWorld http://mathworld. wolfram.com/JacobiThetaFunctions.html
    • (2013) MathWorld
    • Weisstein, E.1
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    • 0011640305 scopus 로고
    • Exact values for some lattice sums in 2, 4, 6 and 8 dimensions
    • 10.1088/0305-4470/7/13/011 0301-0015
    • Zucker I J 1974 Exact values for some lattice sums in 2, 4, 6 and 8 dimensions J. Phys. A: Math. Nucl. Gen. 7 1568-75
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    • Zucker I J 1976 Functional equations for poly-dimensional zeta functions and the evaluation of Madelung constants J. Phys. A: Math. Gen. 9 499-505
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  • 19
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    • Some infinite series of exponential and hyperbolic functions
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  • 20
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    • A systematic way of converting infinite series into infinite products
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    • Zucker I J 1990 Further relations amongst infinite series and products: II. The evaluation of three-dimensional lattice sums J. Phys. A: Math. Gen. 23 117-32
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.