Browsing 01 Mathematical Sciences by Author "Zucker, Ij"

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Browsing 01 Mathematical Sciences by Author "Zucker, Ij"

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  • Mcphedran, Ross; Botten, Lindsay; Nicorovici, Nicolae; Zucker, Ij (Royal Society, 2007)
    We consider the Hurwitz zeta function zeta(s, a), and form two parts zeta(+) and zeta(-) by symmetric and antisymmetric combinations of zeta(s, a) and zeta(s, 1-a). We consider the properties of zeta(+) and zeta(-), and ...
  • Mcphedran, Ross; Botten, Lindsay; Nicorovici, Nicolae; Zucker, Ij (Amer Inst Physics, 2007)
    We discuss general properties of doubly periodic sums over the square lattice, linking phased, Bloch-type sums in the direct lattice with displaced sums in the reciprocal lattice using the Poisson summation formula. We ...