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The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built a
Publikováno v:
New Journal of Physics, Vol 23, Iss 8, p 083004 (2021)
Resonant states (RS), also known as quasi-normal modes, arise in spectral expansions of linear response functions of open systems. Manipulation of these spatially ‘divergent’ oscillating functions requires a departure from the usual definitions o
Externí odkaz:
https://doaj.org/article/e17d22ff17ec4667afc60db68275c402
Publikováno v:
Lattice Sums Then and Now. :324-349
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b0d1dd91624d4585a5c3775789b7c4db
https://doi.org/10.1017/cbo9781139626804.013
https://doi.org/10.1017/cbo9781139626804.013
Publikováno v:
Fracture Phenomena in Nature and Technology ISBN: 9783319043968
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c09eaf2e280ce437e4875d2c277fcadc
https://doi.org/10.1007/978-3-319-04397-5_4
https://doi.org/10.1007/978-3-319-04397-5_4
A modular equation of order n is essentially some algebraic relation between theta functions of arguments q and q n respectively. In his notebooks Ramanujan gave many such relations involving Lambert series, and Berndt [1] painstakingly collected the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df1ab188225c87d6ce71c4aec5d3c643
https://doi.org/10.1017/cbo9781139626804.008
https://doi.org/10.1017/cbo9781139626804.008