Search results

Items from 1 to 6 out of 6 results

article

On the exceptional fields for a class of real quadratic fields

Li Liu, Hongwen Lu

Acta Mathematica Scientia > 2011 > 31 > 3 > 1179-1188

In this paper, we give a lower bound exp(2.2 × 10 ⁸ ) for those discriminants of real quadratic fields Q ( d ) with d = N ² − 4 and h(d) = 1.

article

Boundary Identification for a Blast Furnace*

Yongji Tan, Rui He

Chinese Annals of Mathematics, Series B > 2007 > 28 > 5 > 571-582

In this paper, the authors discuss an inverse boundary problem for the axi-symmetric steady-state heat equation, which arises in monitoring the boundary corrosion for the blast-furnace. Measure temperature at some locations are used to identify the shape of the corrosion boundary. The numerical inversion is complicated and consuming since the wear-line varies during the process and the boundary in...

article

8-ranks of Class Groups of Some Imaginary Quadratic Number Fields

Xi Mei Wu, Qin Yue

Acta Mathematica Sinica, English Series > 2007 > 23 > 11 > 2061-2068

Let $$ F = \mathbb{Q}{\left( {{\sqrt { - p_{1} p_{2} } }} \right)} $$ be an imaginary quadratic field with distinct primes p ₁ ≡ p ₂ ≡ 1 mod 8 and the Legendre symbol $$ {\left( {\frac{{p_{1} }} {{p_{2} }}} \right)} = 1 $$ . Then the 8-rank of the class group of F is equal to 2 if and only if the following conditions hold: (1) The quartic residue symbols $$ {\left( {\frac{{p_{1} }} {{p_{2}...

article

Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit*

Zhen Lei

Chinese Annals of Mathematics, Series B > 2006 > 27 > 5 > 565-580

In this paper, we prove local and global existence of classical solutions for a system of equations concerning an incompressible viscoelastic fluid of Oldroyd-B type via the incompressible limit when the initial data are sufficiently small.

article

Cycles of polynomial mappings in two variables over rings of integers in quadratic fields

T. Pezda

Open Mathematics > 2004 > 2 > 2 > 294-331

We find all possible cycle-lengths for polynomial mappings in two variables over rings of integers in quadratic extensions of rationals.

article

Two-primary algebraic K-theory of two-regular number fields

John Rognes, Paul Arne stvr

Mathematische Zeitschrift > 2000 > 233 > 2 > 251-263

Abstract. We explicitly calculate all the 2-primary higher algebraic K-groups of the rings of integers of all 2-regular quadratic number fields, cyclotomic number fields, or maximal real subfields of such. Here 2-regular means that (2) does not split in the number field, and its narrow Picard group is of odd order.

Filter options

Publication date

Set your own date range

Keywords

11R11 (6)
11R27 (2)
11R29 (2)
11R70 (2)
11D04 (1)
11D09 (1)
11E05 (1)
11R09 (1)
11R18 (1)
11R37 (1)
11R42 (1)
19F27. (1)
AXI-SYMMETRIC FUNDAMENTAL SOLUTION (1)
CLASS GROUP (1)
CLASS NUMBER (1)
DISCRIMINANT (1)
GLOBAL EXISTENCE (1)
INCOMPRESSIBLE LIMIT (1)
INVERSE PROBLEM (1)
LOWER BOUND (1)
MATHEMATICS SUBJECT CLASSIFICATION (1991): 19D50 (1)
OLDROYD MODEL (1)
PERTURBATION METHOD (1)
POLYNOMIAL CYCLES (1)
QUADRATIC FIELD (1)
QUADRATIC INTEGERS (1)
RECIPROCITY LAW (1)
RÉDEI MATRIX (1)
ZETA-FUNCTION (1)
more

Data set

Springer (4)
DML (1)
Elsevier (1)

INFONA - science communication portal

Search results

On the exceptional fields for a class of real quadratic fields

Boundary Identification for a Blast Furnace*

8-ranks of Class Groups of Some Imaginary Quadratic Number Fields

Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit*

Cycles of polynomial mappings in two variables over rings of integers in quadratic fields

Two-primary algebraic K-theory of two-regular number fields

Add recipient

Sending message cancelled

Are you sure you want to cancel sending this message?

Send message

Filter options

Publication date

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

Keywords

Data set

Reporting an error / abuse

Sending the report failed

Accessibility options