Calculation of the First Factor of the Class Number of the Cyclotomic Field
نویسنده
چکیده
The values of the first factor Hx(m) of the class number of the with cyclotomic field are tabulated for 120 composite rre's larger than 100. A conjecture concerning a divisibility property of Hx{m) is stated.
منابع مشابه
Analysis Students’ Motivation in Vocational Schools and Agricultural Training Centers in Kermanshah Province toward Studying the Field of Agriculture
Objective: Today people are aware of the important role of agriculture as a vital source in their life. Development in agriculture and making healthy food for human, needs trained man. Vocational schools and agricultural training centers provided the first stage for arriving at this purpose. One of the reasons for the weak influence of agricultural training centers in creating occupational oppo...
متن کاملAnalysis Students’ Motivation in Vocational Schools and Agricultural Training Centers in Kermanshah Province toward Studying the Field of Agriculture
Objective: Today people are aware of the important role of agriculture as a vital source in their life. Development in agriculture and making healthy food for human, needs trained man. Vocational schools and agricultural training centers provided the first stage for arriving at this purpose. One of the reasons for the weak influence of agricultural training centers in creating occupational oppo...
متن کاملCalculation the phantom scatter factor for the linear accelerators device
Introduction: In the last few decades, a lot of monte carlo codes have been introduced for medical applications. this is important because through simulation, we are fully independent of the spectral scattering factor that we are not able measure in real terms. The effect of the radiation energy, the dimension of the radiation field, the sensitive volume of the ion chamber on t...
متن کاملMeasurement and comparison of head scatter factor for 9MV photon beam using the build-up cap and a columnar mini-phantom
Introduction: The Sc is an important parameter to monitor unit (MU) calculation in radiation therapy procedure. The aim of this study is to measurement and comparison of head scatter factor (Sc) for 9MV photon beam using the build-up cap and a columnar mini-phantom. Materials and Methods: The measurements performed using a calibrated ion chamber (Scanditron...
متن کاملFaster Computation of the First Factor of the Class Number of Q(çp)
We describe two fast methods for computing the first factor of the class number of the cyclotomic field Q(CP) in <f(p2\og,5p) and tf(p2\ogp) steps of elementary arithmetic operations on the numbers of size p , respectively. The first is deterministic, while the second holds under the GRH. This is an improvement over the previous method of Lehmer and Masley, which has complexity ^(p3-81).
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 2010