Rational Numbers Exercise 2A – Selina Concise Mathematics Class 7 ICSE SolutionsQuestion 1. Write down a rational number whose numerator is the largest number of two digits and denominator is the smallest number of four digits.Solution:Question 2. Write the numerator of each of the following ...
Rational period functions, class numbers and Diophantine equations - Choie - 1992 () Citation Context ...d a form. In certain contexts one may replace the (axial) log-polynomial sum by an (axial) rational function. Rational period functions have been the subject of a considerable body of ...
Chapter 9 – Rational Numbers Chapter 10 – Practical Geometry Chapter 11 – Perimeter and Area Chapter 12 – Algebraic Expressions Chapter 13 – Exponents and Powers Chapter 14 – Symmetry Chapter 15 – Visualising Solid ShapesNCERT Solutions for Class 7 Maths: Points to RememberStudents...
We construct several rational period functions for modular integrals with weight 2 k on the modular group Γ(1). It is also possible to represent the above rational period functions in terms of representatives of reduced indefinite binary quadratic forms in the narrow equivalence class. As a corol...
16 Playing with NumbersAdvantages of NCERT Books for Class 8 MathsAll the Class 8 students are advised to refer to the NCERT books in order to score good marks in their final exams. The NCERT Class 8 Maths book PDFs are also helpful if you are preparing for competitive exams such as SOF...
Class numbers of some abelian extensions of rational function fields 来自 学术范 喜欢 0 阅读量: 14 作者:Sunghan Bae,Hwanyup Jung,Jaehyun Ahn 摘要: Let P be a monic irreducible polynomial. In this paper we generalize the determinant formula for$h(K_{P^{n}}^{+})$of Bae and Kang and ...
On the Class Numbers in the Cyclotomic Z29- and Z31-Extensions of the Field of Rationalsdoi:10.1080/10586458.2018.1482481Yuta KogoshiTakayuki Morisawa
In algebraic number theory, especially in Iwasawa theory, the class group of the ring of integers O of the cyclotomic Z(p)-extension of the rational numbers has been studied for a long time. However, the class semigroup of O is not well known. We are interested in the structure of the...
On the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic ClassMathematics - Number Theory11R1611R29Let n be an odd number and F an imaginary quadratic field with odd discriminant. We show that there exists infinitely many cubic fields K ...
The aim of this article is to extend this result to any real abelian 2-extension over the field of rational numbers. So using genus theory, units of biquadratic number fields and norm residue symbol, we prove that for every real abelian 2-extension over in which eight primes ramify and ...