28 research outputs found
On uniformization of Burnside's curve
Main objects of uniformization of the curve are studied: its
Burnside's parametrization, corresponding Schwarz's equation, and accessory
parameters. As a result we obtain the first examples of solvable Fuchsian
equations on torus and exhibit number-theoretic integer -series for
uniformizing functions, relevant modular forms, and analytic series for
holomorphic Abelian integrals. A conjecture of Whittaker for hyperelliptic
curves and its hypergeometric reducibility are discussed. We also consider the
conversion between Burnside's and Whittaker's uniformizations.Comment: Final version. LaTeX, 23 pages, 1 figure. The handbook for elliptic
functions has been moved to arXiv:0808.348
Automated text message enhanced monitoring versus routine monitoring in early rheumatoid arthritis: a randomized trial
OBJECTIVE:Frequent monitoring of early rheumatoid arthritis (RA) patients is required for achieving good outcomes. We studied the influence of text message (SMS) enhanced monitoring on early RA outcomes.METHODS:We randomized 166 early, disease-modifying antirheumatic drug naive RA patients to SMS-enhanced follow-up or routine care. All patients attended visits at 0, 3, and 6 months, and a follow-up visit at 12 months. Treatment was at the physicians' discretion. The intervention included 13 SMSs during weeks 0-24 with questions concerning medication problems (yes/no) and disease activity (patient global assessment [PGA], scale 0-10). If response SMSs indicated medication problems or PGA exceeded predefined thresholds the patients were contacted. Primary outcome was 6-month Boolean remission (no swollen or tender joints, normal CRP). Quality of life (QOL, Short Form 36) and 28-joint disease activity scores (DAS28) were assessed.RESULTS:Six and 12-month follow-up data were available for 162 and 157 patients. In the intervention group, 47% (38/82) of the patients reported medication problems and 49% (40/82) of the patients reported SMS-PGAs above the alarm limit. Remission rates in the intervention and control groups were 51% and 42% at 6 months (p=0.34); and 57% and 43% at 12 months (p=0.17). The respective DAS28 scores were 1.92±1.12 and 2.22±1.11 at 6 months (p=0.09); and 1.79±0.91 and 2.08±1.22 at 12 months (p=0.28). No differences in QOL were observed.CONCLUSION:The study failed the primary outcome despite a trend favoring the intervention group. This may be explained by the notably high overall remission rates. This article is protected by copyright. All rights reserved.</p
Patient-reported outcomes in axial spondyloarthritis and psoriatic arthritis patients treated with secukinumab for 24 months in daily clinical practice
On behalf of the EuroSpA Scientific Committee, the authors acknowledge Novartis Pharma AG for supporting the EuroSpA collaboration.Peer reviewe
Geometric Uniformization in Genus 2
Compact Riemann surfaces with large automorphism groups have been studied extensively. Here we treat genus 2 case in a geometric way. The three surfaces with exceptional symmetry are Wiman curves of types I and II and an Accola--Maclachlan surface. By considering the location of Weierstrass points, we exhibit Dirichlet fundamental polygons for these surfaces and calculate their period matrices. A list of orbifolds covered by closed surfaces of genus 2 is also obtained, leading to the list of triangle groups having a normal subgroup of genus 2 and to their arithmeticity