{"citation":{"apa":"Gundlach, F. (2022). Malle’s conjecture with multiple invariants. In <i>arXiv:2211.16698</i>.","chicago":"Gundlach, Fabian. “Malle’s Conjecture with Multiple Invariants.” <i>ArXiv:2211.16698</i>, 2022.","mla":"Gundlach, Fabian. “Malle’s Conjecture with Multiple Invariants.” <i>ArXiv:2211.16698</i>, 2022.","ieee":"F. Gundlach, “Malle’s conjecture with multiple invariants,” <i>arXiv:2211.16698</i>. 2022.","bibtex":"@article{Gundlach_2022, title={Malle’s conjecture with multiple invariants}, journal={arXiv:2211.16698}, author={Gundlach, Fabian}, year={2022} }","ama":"Gundlach F. Malle’s conjecture with multiple invariants. <i>arXiv:221116698</i>. Published online 2022.","short":"F. Gundlach, ArXiv:2211.16698 (2022)."},"type":"preprint","status":"public","_id":"53421","external_id":{"arxiv":["2211.16698"]},"date_created":"2024-04-11T12:43:14Z","user_id":"100450","author":[{"first_name":"Fabian","id":"100450","last_name":"Gundlach","full_name":"Gundlach, Fabian"}],"year":"2022","title":"Malle's conjecture with multiple invariants","extern":"1","abstract":[{"lang":"eng","text":"We define invariants $\\operatorname{inv}_1,\\dots,\\operatorname{inv}_m$ of\r\nGalois extensions of number fields with a fixed Galois group. Then, we propose\r\na heuristic in the spirit of Malle's conjecture which asymptotically predicts\r\nthe number of extensions that satisfy $\\operatorname{inv}_i\\leq X_i$ for all\r\n$X_i$. The resulting conjecture is proved for abelian Galois groups. We also\r\ndescribe refined Artin conductors that carry essentially the same information\r\nas the invariants $\\operatorname{inv}_1,\\dots,\\operatorname{inv}_m$."}],"publication":"arXiv:2211.16698","language":[{"iso":"eng"}],"date_updated":"2024-04-11T12:50:44Z"}