Projects
Reading
People
Chat
SU\G
(𝔸)
/K·U
Projects
Reading
People
Chat
Sign Up
Light
Dark
System
Lattice Sums Then and Now
Jonathan M. Borwein
,
M. L. Glasser
,
R. C. McPhedran
,
J. G. Wan
,
I. J. Zucker
Type:
Book
Publication Date:
2013-09-05
Citations:
116
DOI:
https://doi.org/10.1017/cbo9781139626804
Share
Similar Works
Action
Title
Year
Authors
+
Angular lattice sums
2013
Jonathan M. Borwein
M. L. Glasser
R. C. McPhedran
J. G. Wan
I. J. Zucker
+
Lattice Sums
1980
M. L. Glasser
I. J. Zucker
+
Lattice sums
1993
Martin T. Dove
+
Calculation of Lattice Sums2
1985
B. Kozarzewski
+
Evaluation and Meaning of Ionic and Dipolar Lattice Sums
1983
Edgar R. Smith
John W. Perram
+
Lattice Field Theory
2019
François Gelis
+
Lattice Point Summation
2011
+
Tables for the Calculation of Lattice Sums
1960
Philip Rabinowitz
George H. Weiss
+
PDF
Chat
Lattice sums and the Madelung constant: Ewald in America
1987
David H. Templeton
+
Lattice Sums: The Validity of Evjen's Method
1953
I. D. C. Gurney
+
A Note on the Calculation of Lattice Sums
1990
Lucia Reining
R. Del Sole
+
Calculation of lattice sums of general type
2020
A. V. Popov
В. А. Попов
+
Lattice sums arising from the Poisson equation
2013
David H. Bailey
Jonathan M. Borwein
Richard E. Crandall
I. J. Zucker
+
Calculation of a lattice function
1992
V. I. Kabanovich
A. M. Kurbatov
+
A Note on the Convergence of the Lattice Sum
1975
哲雄 大山
+
PDF
Chat
On the computation of lattice sums without translational invariance
2024
Andreas A. Buchheit
Torsten Keßler
Kirill Serkh
+
A simple approach to evaluation of lattice sums
1985
Subinay Dasgupta
Dipayan Sen
S. Sengupta
+
Lattice Methods for Multiple Integration
1994
Ian H. Sloan
Stephen Joe
+
Calculation of Lattice Sums
1985
B. Kozarzewski
+
PDF
Chat
Neumann series and lattice sums
2005
R. C. McPhedran
N. A. Nicorovici
L. C. Botten
Works That Cite This (89)
Action
Title
Year
Authors
+
Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture
2020
Mircea Petrache
Stéphane Serfaty
+
PDF
Chat
Volumes and distributions for random unimodular complex and quaternion lattices
2018
Peter J. Forrester
Jiyuan Zhang
+
Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies
2023
Laurent Bétermin
Markus Faulhuber
+
PDF
Chat
Coulomb and Riesz gases: The known and the unknown
2022
Mathieu Lewin
+
Exact results for the diamond lattice Green function with applications to uniform random walks in a plane
2017
G S Joyce
+
PDF
Chat
Asymptotic Evaluation of a Lattice Sum Associated with the Laplacian Matrix
2022
Arzu Boysal
Fatih Ecevit
C. Y. Yıldırım
+
Arguments Related to the Riemann Hypothesis: New Methods and Results
2018
R. C. McPhedran
+
The Exact Evaluation of Some New Lattice Sums
2017
J. Zucker
+
On Born’s Conjecture about Optimal Distribution of Charges for an Infinite Ionic Crystal
2018
Laurent Bétermin
Hans Knüpfer
+
On lattice sums and Wigner limits
2014
David Borwein
Jonathan M. Borwein
Armin Straub
Works Cited by This (164)
Action
Title
Year
Authors
+
PDF
Chat
New proofs of a theorem of Edmund Landau
1976
Břetislav Novák
+
Series Associated with the Zeta and Related Functions
2001
H. M. Srivastava
Junesang Choi
+
Elliptic curves: function theory, geometry, arithmetic
1998
H. P. McKean
Victor H. Moll
+
A Classical Invitation to Algebraic Numbers and Class Fields
1978
Harvey Cohn
+
Crystal Symmetry Viewed as Zeta Symmetry II
2010
Shigeru Kanemitsu
Haruo Tsukada
+
Zeta Functions, Topology and Quantum Physics
2005
Takashi Aoki
Shigeru Kanemitsu
Mikio Nakahara
Yasuo Ohno
+
PDF
Chat
Unsolved Problems in Number Theory
1994
Richard K. Guy
+
Elliptic integral evaluation of a Bessel moment by contour integration of a lattice Green function
2008
David J. Broadhurst
+
Mathematics by experiment: plausible reasoning in the 21st century
2005
Jonathan M. Borwein
+
Gaussian quadratures with respect to discrete measures
2006
Stefan Engblom