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@article{1621416, author = {Francírek, Pavel}, article_number = {August}, doi = {http://dx.doi.org/10.1016/j.jnt.2019.12.003}, keywords = {annihilators; class group; cyclic fields; Stickelberger ideal}, language = {eng}, issn = {0022-314X}, journal = {Journal of Number Theory}, title = {Annihilators of the ideal class group of an imaginary cyclic field}, url = {https://www.sciencedirect.com/science/article/pii/S0022314X20300111}, volume = {213}, year = {2020} }
TY - JOUR ID - 1621416 AU - Francírek, Pavel PY - 2020 TI - Annihilators of the ideal class group of an imaginary cyclic field JF - Journal of Number Theory VL - 213 IS - August SP - 187-220 EP - 187-220 PB - Academic Press SN - 0022314X KW - annihilators KW - class group KW - cyclic fields KW - Stickelberger ideal UR - https://www.sciencedirect.com/science/article/pii/S0022314X20300111 L2 - https://www.sciencedirect.com/science/article/pii/S0022314X20300111 N2 - For certain infinite family of imaginary cyclic fields we can obtain annihilators of the ideal class group by factoring nontrivial roots of modified Gauss sums. In this paper we investigate whether and when these annihilators live outside the Stickelberger ideal. ER -
FRANCÍREK, Pavel. Annihilators of the ideal class group of an imaginary cyclic field. \textit{Journal of Number Theory}. Academic Press, 2020, roč.~213, August, s.~187-220. ISSN~0022-314X. Dostupné z: https://dx.doi.org/10.1016/j.jnt.2019.12.003.
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