A Minimum Property for Cuboidal Lattice Sums Shaun Cooper a ,
Peter Schwerdtfeger b a School of Mathematical and Computational Sciences, Massey University Albany, Private Bag 102904, North Shore Mail Centre, Auckland 0745, New Zealand b Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study (NZIAS), Massey University Albany, Private Bag 102904, North Shore Mail Centre, Auckland 0745, New Zealand Abstract:
We analyse a family of lattices considered by Conway and Sloane and show that the corresponding Epstein zeta function attains a local minimum for the body-centred cubic lattice.
Keywords:
body-centred cubic, face-centred cubic, Epstein zeta function, lattice sum.
MSC: 11E45 ,
11H31 Received: January 13, 2025 ; in final form
March 16, 2025 ; Published online
March 24, 2025
Language: English
DOI:
10.3842/SIGMA.2025.019
© , 2025
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