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6 papers · 1 filter
Trace identities from identities for determinants
Stephen Humphries, Christian Krattenthaler
We present new identities for determinants of matrices with entries equal to or , where the 's are indeterminates.…
Classification of Singular Fibres on Rational Elliptic Surfaces in Characteristic Three
Tyler J. Jarvis, William E. Lang, Nansen Petrosyan +3
We determine and list all possible configurations of singular fibres on rational elliptic surfaces in characteristic three. In total, we find that 267 distinct configurations exist…
Photoemission study of poly(dA)-poly(dT) DNA : Experimental and theoretical approach to the electronic density of states
Hiroki Wadati, Kozo Okazaki, Yasuhiro Niimi +4
We present results of an ultraviolet photoemission spectroscopy study of artificially synthesized poly(dA)-poly(dT) DNA molecules on -type Si substrates. For comparison, we also…
Even icosahedral Galois representations of prime conductor
Darrin Doud, Michael W. Moore
In this paper, we use a series of targeted Hunter searches to prove that the minimal prime conductor of an even icosahedral Galois representation is 1951. In addition, we give a co…
An arithmetic formula for certain coefficients of the Euler product of Hecke polynomials
Xian-Jin Li
In 1997 the author found a criterion for the Riemann hypothesis for the Riemann zeta function, involving the nonnegativity of certain coefficients associated with the Riemann zeta…
Metric Diophantine approximation and 'absolutely friendly' measures
Andrew Pollington, Sanju Velani
Let $W(\p)$ denote the set of $\p$-well approximable points in and let be a compact subset of which supports a measure . In this short note, we show that if $μ…