التفاصيل البيبلوغرافية
| العنوان: |
Iwasawa main conjecture for the Carlitz cyclotomic extension and applications. |
| المؤلفون: |
Anglès, Bruno, Bandini, Andrea, Bars, Francesc, Longhi, Ignazio |
| المصدر: |
Mathematische Annalen; Feb2020, Vol. 376 Issue 1/2, p475-523, 49p |
| مستخلص: |
We prove an Iwasawa Main Conjecture for the class group of the p -cyclotomic extension F of the function field F q (θ) (p is a prime of F q [ θ ] ), showing that its Fitting ideal is generated by a Stickelberger element. We use this and a link between the Stickelberger element and a p -adic L-function to prove a close analog of the Ferrero–Washington Theorem for F and to provide information on the p -adic valuations of the Bernoulli-Goss numbers β (j) (i.e., on the values of the Carlitz-Goss ζ -function at negative integers). [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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