McPhedran, Ross C.; Botten, Lindsay C.; Williamson, Dominic J.; Nicorovici, Nicolae-Alexandru P. The Riemann hypothesis and the zero distribution of angular lattice sums. (English) Zbl 1243.11089 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2133, 2462-2478 (2011); correction ibid. 468, No. 2137, 303-304 (2012). MSC: 11M26 11M35 PDFBibTeX XMLCite \textit{R. C. McPhedran} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2133, 2462--2478 (2011; Zbl 1243.11089) Full Text: DOI arXiv
McPhedran, Ross C.; Zucker, I. J.; Botten, Lindsay C.; Nicorovici, Nicolae-Alexandru P. On the Riemann property of angular lattice sums and the one-dimensional limit of two-dimensional lattice sums. (English) Zbl 1186.11046 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2100, 3327-3352 (2008). MSC: 11L03 11M26 PDFBibTeX XMLCite \textit{R. C. McPhedran} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2100, 3327--3352 (2008; Zbl 1186.11046) Full Text: DOI
Zucker, I. J.; McPhedran, R. C. Dirichlet \(L\)-series with real and complex characters and their application to solving double sums. (English) Zbl 1243.11085 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2094, 1405-1422 (2008). Reviewer: Emilio Elizalde (Bellaterra) MSC: 11M06 30B50 11F68 PDFBibTeX XMLCite \textit{I. J. Zucker} and \textit{R. C. McPhedran}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2094, 1405--1422 (2008; Zbl 1243.11085) Full Text: DOI arXiv
McPhedran, Ross C.; Botten, Lindsay C.; Nicorovici, Nicolae-Alexandru P.; Zucker, I. John Symmetrization of the Hurwitz zeta function and Dirichlet \(L\) functions. (English) Zbl 1151.11342 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2077, 281-301 (2007). MSC: 11M35 PDFBibTeX XMLCite \textit{R. C. McPhedran} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2077, 281--301 (2007; Zbl 1151.11342) Full Text: DOI