A class number formula is a finite series giving exactly the class number of a ring. For a ring of quadratic integers, the class number is denoted h(d), where d is the discriminant. A class number formula is known for the full ring of cyclotomic integers
Theoretical mathematics The class number formula UNIVERSITY OF SOUTHERN CALIFORNIA Sheldon Kamienny BerryChristopher DThe analytic class number formula equates the residue of a dedekind zeta function at 1 with various properties of a related number field. These properties are defined, their correlation ...
The method developed by H.Yu in [3] to study the behavior of the Tate-Shafarevich group of an abelian variety under a finite Galois extension of its field of definition is adapted to the context of ideal class groups of number fields. As a result, a new ambiguous class number formula fo...
Similar to the classical case n=1 the value of the Artin L-function L(E/F,χ,1−n) at 1−n for odd n≥3 is given by a relative class number formula of the form L(E/F,χ,1−n)=±2r1+1Qn⋅hn−wn(E). Here r1=[F:Q],wn(E)=|H0(E,Q/Z(n))|,Qn is a ...
A 'popular' class number formula. Discusses a proof of a theorem on the digits of 1/p. Decimal representation; Digit expansion of 1/p with respect to an arbitrary basis; Properties of the L... Girstmair,Kurt - 《American Mathematical Monthly》 被引量: 0发表: 1994年 A class of exponen...
It is shown how the analytic class number formula can be used to produce an algorithm which efficiently computes the class number $h$ of an algebraic number field $F$. The method assumes the truth of the Generalized Riemann Hypothesis in order to estimate the residue of the Dedekind zeta fun...
Number Formats. This class is available in Office 2007 and above. When the object is serialized out as xml, it's qualified name is x:numFmt.C# 複製 public class NumberingFormat : DocumentFormat.OpenXml.OpenXmlLeafElementInheritance Object OpenXmlElement OpenXmlLeafElement NumberingFormat ...
formula 该字符串值表示采用 A1 表示法的图表数据标签的公式。 TypeScript 复制 formula: string; 属性值 string 注解 [ API 集:ExcelApi 1.8 ]height 返回图表数据标签的高度,以磅为单位。 null如果图表数据标签不可见,则值为 。 TypeScript 复制 readonly height: number; 属性值 number 注解 [ API ...
NumberItem ObjectAnchor ObjectDisplayValues OddFooter OddHeader OlapProperties OldCell OldDifferentialFormat OldFormula OleItem OleItems OleLink OleObject OleObjects OleSize OleUpdateValues OrientationValues Outline OutlineProperties Page PageBreakType PageField PageFields PageItem PageMargins PageOrderValues Pag...
using System; using System.Collections.Generic; public class Example4 { public static void Main() { var list = new List<string>(); Console.WriteLine("Number of items: {0}", list.Count); try { Console.WriteLine("The first item: '{0}'", list[0]); } catch (ArgumentOutOfRangeException...