The maximal discrete extension of $$SL_2(\mathcal {\scriptstyle {O}}_K)$$SL2(OK) for an imaginary quadratic number field K
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DOI: 10.1007/s00013-019-01312-x
Abstract: Let $$\mathcal {\scriptstyle {O}}_K$$OK be the ring of integers of an imaginary quadratic number field K. In this paper we give a new description of the maximal discrete extension of the group $$SL_2(\mathcal {\scriptstyle {O}}_K)$$SL2(OK)… read more here.
Keywords: sl2; mathcal scriptstyle; number field; quadratic number ... See more keywords
Eisenstein cocycles over imaginary quadratic fields and special values of L-functions
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DOI: 10.1016/j.jnt.2019.04.016
Abstract: Abstract We generalize Sczech's Eisenstein cocycle for G L ( n ) over totally real extensions of Q to finite extensions of imaginary quadratic fields. By evaluating the cocycle on certain cycles, we parametrize complex… read more here.
Keywords: values functions; cocycles imaginary; imaginary quadratic; eisenstein cocycles ... See more keywords
Well-rounded twists of ideal lattices from imaginary quadratic fields
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DOI: 10.1142/s021949882250133x
Abstract: In this paper, we investigate the properties of well-rounded twists of a given ideal lattice of an imaginary quadratic field [Formula: see text]. We show that every ideal lattice [Formula: see text] of [Formula: see… read more here.
Keywords: twists ideal; imaginary quadratic; well rounded; formula see ... See more keywords
Explicit solutions of imaginary quadratic norm equations
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DOI: 10.1142/s1793042119500921
Abstract: Let [Formula: see text] be an imaginary quadratic extension of [Formula: see text]. Let [Formula: see text] be the class number and [Formula: see text] be the discriminant of the field [Formula: see text]. Assume… read more here.
Keywords: norm equations; imaginary quadratic; formula see; see text ... See more keywords
The large sieve with power moduli in imaginary quadratic number fields
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DOI: 10.1142/s1793042122500877
Abstract: In this paper, we establish large sieve inequalities for power moduli in imaginary quadratic number fields, extending earlier work of Baier and Bansal [S. Baier and A. Bansal, The large sieve with power moduli for… read more here.
Keywords: number; power moduli; imaginary quadratic; large sieve ... See more keywords