Nathan C. Ryan

Learn More
Vol. 15 No. 11–12 215 5. Brown AFT, Hamilton DL. Tick bite anaphylaxis in Australia. J Accid Emerg Med 1998; 15(2): 111–3. 6. Gauci M, Loh RKS, Stone BF, Thong YH. Allergic reactions to the Australian paralysis tick, Ixodes holocyclus: diagnostic evaluation by skin test and radioimmunoassay. Clin Exp Allergy 1989; 19: 279–83. 7. Kemp A. Tick bites. Med J(More)
The size of the coefficients of cyclotomic polynomials is a problem that has been well-studied. This paper investigates the following generalization: suppose f(x) ∈ Z[x] is a divisor of xn − 1, so that f(x) is the product of the cyclotomic polynomials corresponding to some of the divisors of n. We ask about the largest coefficient in absolute value over all(More)
The Rankin convolution type Dirichlet series DF,G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G. In particular, we prove that the series DF,G(s), which shares the same functional equation and analytic behavior with the spinor L-functions of eigenforms of(More)
R ® is a registered trademark. RAND Europe is a not-for-profit organisation whose mission is to help improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors. Limited Print and Electronic Distribution Rights This document and trademark(s) contained(More)
By compatibly grading the p-part of the Hecke algebra associated to Spn(Z) and the subring of Q[x 0 , . . . , x ±1 n ] invariant under the associated Weyl group, we produce a matrix representation of the Satake isomorphism restricted to the corresponding finite dimensional components. In particular, using the elementary divisor theory of integral matrices,(More)
We study the L-functions associated to Siegel modular forms — equivalently, automorphic representations of GSp(4, ‫ށ‬ ‫ޑ‬) — both theoretically and numerically. For the L-functions of degrees 10, 14, and 16 we perform representation theoretic calculations to cast the Langlands L-function in classical terms. We develop a precise notion of what it means to(More)
People often sleep deprive themselves voluntarily for social and lifestyle reasons. Animals also appear to stay awake longer as a result of their natural curiosity to explore novel environments and interact socially with conspecifics. Although multiple arousal systems in the brain are known to act jointly to promote and maintain wakefulness, it remains(More)
  • 1