An explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups

2019 ◽  
pp. 245-252
Author(s):  
Holger Then
Keyword(s):  
Arithmetic Groups ◽  
Explicit Evaluation

Arithmetic groups and Salem numbers

1992 ◽  
Vol 75 (1) ◽  
pp. 97-102 ◽  
Author(s):  
B. Sury
Keyword(s):  
Arithmetic Groups ◽  
Salem Numbers

scholarly journals Counting and equidistribution in quaternionic Heisenberg groups

2021 ◽  
pp. 1-38
Author(s):  
JOUNI PARKKONEN ◽  
FRÉDÉRIC PAULIN
Keyword(s):  
Hyperbolic Geometry ◽  
Quaternion Algebra ◽  
Rational Points ◽  
Hyperbolic Spaces ◽  
Heisenberg Groups ◽  
Arithmetic Groups ◽  
Hermitian Forms ◽  
Dimension 2 ◽  
Counting Formula ◽  
The Relationship

Abstract We develop the relationship between quaternionic hyperbolic geometry and arithmetic counting or equidistribution applications, that arises from the action of arithmetic groups on quaternionic hyperbolic spaces, especially in dimension 2. We prove a Mertens counting formula for the rational points over a definite quaternion algebra A over ${\mathbb{Q}}$ in the light cone of quaternionic Hermitian forms, as well as a Neville equidistribution theorem of the set of rational points over A in quaternionic Heisenberg groups.

Explicit evaluation of the representation functions of IU(n)

1981 ◽  
Vol 22 (5) ◽  
pp. 935-938
Author(s):  
M.K.F. Wong ◽  
Hsin‐Yang Yeh
Keyword(s):  
Explicit Evaluation

Classical projective geometry and arithmetic groups

1991 ◽  
Vol 290 (1) ◽  
pp. 441-462 ◽  
Author(s):  
Mark McConnell
Keyword(s):  
Projective Geometry ◽  
Arithmetic Groups

scholarly journals Exact and explicit evaluation of Brézin–Hikami kernels

2013 ◽  
Vol 872 (3) ◽  
pp. 333-347 ◽  
Author(s):  
Katarzyna Górska ◽  
Karol A. Penson
Keyword(s):  
Explicit Evaluation

scholarly journals Hecke modules for arithmetic groups via bivariant K-theory

2018 ◽  
Vol 3 (4) ◽  
pp. 631-656 ◽  
Author(s):  
Bram Mesland ◽  
Mehmet Haluk Şengün
Keyword(s):  
Arithmetic Groups ◽  
K Theory ◽  
Hecke Modules

scholarly journals BAKER–AKHIEZER FUNCTION AS ITERATED RESIDUE AND SELBERG-TYPE INTEGRAL

2009 ◽  
Vol 51 (A) ◽  
pp. 59-73 ◽  
Author(s):  
GIOVANNI FELDER ◽  
ALEXANDER P. VESELOV
Keyword(s):  
Root System ◽  
Integral Formula ◽  
Explicit Evaluation ◽  
Type Integral

AbstractA simple integral formula as an iterated residue is presented for the Baker–Akhiezer function related toAn-type root system in both the rational and trigonometric cases. We present also a formula for the Baker–Akhiezer function as a Selberg-type integral and generalise it to the deformedAn,1-case. These formulas can be interpreted as new cases of explicit evaluation of Selberg-type integrals.

Arithmetic groups

1979 ◽  
pp. 105-136 ◽  
Author(s):  
J.-P. Serre ◽  
Alan Robinson ◽  
Colin MacLachlan
Keyword(s):  
Arithmetic Groups

scholarly journals Taxation and the Issue of Equity in Perceived Sacrifice

1978 ◽  
Vol 10 (2) ◽  
pp. 15-22 ◽  
Author(s):  
Wilmer M. Harper
Keyword(s):  
Tax Reform ◽  
Evaluation Criteria ◽  
Income Level ◽  
Tax Structure ◽  
Value Judgments ◽  
Explicit Evaluation ◽  
The Sacrifice

Tax reform, the incidence of taxation, and any implied restructuring of the rates at which individuals are taxed are recurrent issues which public policymakers must address. The advocation of reform or restructuring may be couched in various terms or approaches, but ultimately it must be concerned with the incidence of taxation and the rate of taxation in relation to income level. Arguments for changes in a tax structure may range from unsubstantiated value judgments to comparisons of taxes paid in relation to income but, regardless of the justification, each proposal is based on implicit or explicit evaluation criteria. An approach based solely on a comparison of tax paid in relation to income does not address one of the central issues—the sacrifice which the taxpayer perceives as he/she gives up income.

Sign in / Sign up

Export Citation Format

Share Document