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
Constructing CM Fields for NFS to Accelerate DL Computation in Non-Prime Finite Fields
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DOI: 10.1109/tit.2023.3244631
Abstract: The hardness of discrete logarithm problem (DLP) over finite fields is the security foundation of many cryptographic protocols. When the characteristic is not small, the state-of-the-art algorithms for solving DLP are the number field sieve… read more here.
Keywords: number field; tex math; finite fields; inline formula ... 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