TY - JOUR UR - http://lib.ugent.be/catalog/pug01:4390204 ID - pug01:4390204 LA - eng TI - The first factor of the class number of the p-th cyclotomic field PY - 2014 JO - (2014) ARCHIV DER MATHEMATIK SN - 0003-889X PB - 2014 AU - Debaene, Korneel 000060233865 802001094419 AB - Kummer's conjecture states that the relative class number of the p-th cyclotomic field follows a strict asymptotic law. Granville has shown it unlikely to be true-it cannot be true if we assume the truth of two other widely believed conjectures. We establish a new bound for the error term in Kummer's conjecture, and more precisely we prove that , where beta is a possible Siegel zero of an odd. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 4390204 | ||
005 | 20161219154456.0 | ||
008 | 140521s2014------------------------eng-- | ||
022 | a 0003-889X | ||
024 | a 000333386600005 2 wos | ||
024 | a 1854/LU-4390204 2 handle | ||
024 | a 10.1007/s00013-014-0626-4 2 doi | ||
040 | a UGent | ||
245 | a The first factor of the class number of the p-th cyclotomic field | ||
260 | c 2014 | ||
520 | a Kummer's conjecture states that the relative class number of the p-th cyclotomic field follows a strict asymptotic law. Granville has shown it unlikely to be true-it cannot be true if we assume the truth of two other widely believed conjectures. We establish a new bound for the error term in Kummer's conjecture, and more precisely we prove that , where beta is a possible Siegel zero of an odd. | ||
598 | a A1 | ||
100 | a Debaene, Korneel 0 000060233865 0 802001094419 0 977623928501 | ||
650 | a Mathematics and Statistics | ||
653 | a Kummer's conjecture | ||
653 | a Cyclotomic fields | ||
653 | a L-functions | ||
653 | a Relative class numbers | ||
653 | a Class numbers | ||
773 | t ARCHIV DER MATHEMATIK g Arch. Math. 2014. 102 (3) p.237-244 q 102:3<237 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/4390204/file/4417799 z [ugent] y Article_Published_Version.pdf | ||
920 | a article | ||
852 | x WE b WE01 | ||
922 | a UGENT-WE |
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