6533b7d2fe1ef96bd125f84c
RESEARCH PRODUCT
On the representation of integers by indefinite binary Hermitian forms
Jouni ParkkonenFrédéric Paulinsubject
Pure mathematicsrepresentation of integersGeneral MathematicsHyperbolic geometryAMS : 11E39 11N45 20H10 30F4001 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]symbols.namesake0103 physical sciencesEisenstein seriesCongruence (manifolds)group of automorphs0101 mathematicsQuaternionMathematicsBinary Hermitian formQuaternion algebraMathematics - Number TheorySesquilinear formta111010102 general mathematicsOrder (ring theory)Hermitian matrix[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]Bianchi group[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]symbolsMathematics::Differential Geometry010307 mathematical physicsdescription
Given an integral indefinite binary Hermitian form f over an imaginary quadratic number field, we give a precise asymptotic equivalent to the number of nonequivalent representations, satisfying some congruence properties, of the rational integers with absolute value at most s by f, as s tends to infinity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 |