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
Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group
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DOI: 10.1016/j.jnt.2016.09.030
Abstract: Abstract Let k be a real quadratic number field with 2-class group C 2 ( k ) isomorphic to Z / 2 m Z x Z / 2 n Z , m ≥ 1 ,… read more here.
Keywords: class; field; class group; number ... See more keywords
Corrigendum to “Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group” [J. Number Theory 173 (2017) 529–546]
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DOI: 10.1016/j.jnt.2017.03.023
Abstract: Abstract This corrigendum describes a number of calculation and typographical errors, primarily in the examples, in the 2017 JNT paper Some Real Quadratic Number Fields with their Hilbert 2-Class Field Having Cyclic 2-Class Group, by… read more here.
Keywords: fields hilbert; class; number fields; number ... See more keywords
ON SIMPLE ZEROS OF THE DEDEKIND ZETA‐FUNCTION OF A QUADRATIC NUMBER FIELD
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DOI: 10.1112/s0025579319000196
Abstract: We study the number of non-trivial simple zeros of the Dedekind zeta-function of a quadratic number field in the rectangle $\{\unicode[STIX]{x1D70E}+\text{i}t:0 read more here.
Keywords: zeta function; quadratic number; number; simple zeros ... See more keywords