Collected Papers V 2016
DOI: 10.1007/978-3-319-32548-4_4
|View full text |Cite
|
Sign up to set email alerts
|

Quadratic Diophantine Equations, the Class Number, and the Mass Formula

Abstract: The basic setting and two ternary casesWe take a finite-dimensional vector space V over a field F and take also an F -bilinear symmetric form ϕ : V × V → F . We then put ϕ[x] = ϕ(x, x) for x ∈ V, thus using the same letter ϕ for the quadratic form and the corresponding symmetric form. By a quadratic Diophantine equation we mean an equation of the typewith a given q ∈ F × . In particular, in the classical case with F = Q and V = Q n , we usually assume that ϕ is Z-valued on Z n and q ∈ Z. The purpose of the pre… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2019
2019
2019
2019

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
(2 citation statements)
references
References 23 publications
0
2
0
Order By: Relevance
“…Mass formulas have been calculated in a considerable amount of generality in many works, e.g. see [GHY01] or [Shi06]. We will explicate these in some cases below.…”
Section: Congruences From Mass Formulasmentioning
confidence: 99%
See 1 more Smart Citation
“…Mass formulas have been calculated in a considerable amount of generality in many works, e.g. see [GHY01] or [Shi06]. We will explicate these in some cases below.…”
Section: Congruences From Mass Formulasmentioning
confidence: 99%
“…Explicit mass formulas have been computed in a wide variety of settingse.g., see [Shi06] and [GHY01]. We explicate these mass formulas in a number of cases below.…”
Section: Introductionmentioning
confidence: 99%