Residue races by Andrew Granville , Daniel Shiu and Peter Shiu
نویسندگان
چکیده
Given a prime p and distinct non-zero integers a1, a2, . . . , ak (mod p), we investigate the number N = N(a1, a2, . . . , ak; p) of residues n (mod p) for which (na1)p < (na2)p < . . . < (nak)p, where (b)p is the least non-negative residue of b (mod p). We give complete solutions to the problem when k = 2, 3, 4, and establish some general results corresponding to k ≥ 5. 2000 Mathematics Subject Classification: Primary 11A07; Secondary 11F20.
منابع مشابه
Carpal tunnel s
Andrew C. F. Hui*, Shiu-man Wong† and James Griffi th‡ *Senior Medical Offi cer, Electrodiagnostic Unit, Prince of Wales Hospital; †Medical Offi cer, Division of Rheumatology, Department of Medicine, North District Hospital; ‡Associate Professor, Diagnostic Radiology and Organ Imaging Department, Prince of Wales Hospital, Chinese University of Hong Kong, Hong Kong, China; E-mail: [email protected]...
متن کاملSuper-edge-graceful labelings of multi-level wheel graphs, fan graphs and actinia graphs
graceful labeling of G. Such sets P and Q are called the vertex values set and edge labels set of G, respectively. The notions of super-edge-graceful graphs and edge-graceful graphs are different. Mitchem and Simoson [6] showed that the step graph C2 6 is super-edge-graceful but not edge-graceful. Shiu [7] showed that the complete graph K4 is edge-graceful but not super-edge-graceful. Mitchem a...
متن کاملA Commentary on a Manuscript Entitled The Psychology of Creativity: A Critical Reading
Innovation Cross-disciplinary cooperation Dr Eric Shiu agreed with Professor Vlad Petre Glăveanu that although the amount of research on creativity is increasing, a corresponding theoretical breakthrough is not apparent. One main culprit is the overwhelming dominance of the quantitative approach in creativity research. Another is the lack of consensus in the definition of creativity. Shiu draws...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003