The classical reciprocity law for power residues as an analog of the Abelian integral theorem
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S. V. Vostokov
Translated by: B. M. Bekker - St. Petersburg Math. J. 20 (2009), 929-936
- DOI: https://doi.org/10.1090/S1061-0022-09-01078-4
- Published electronically: October 1, 2009
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Abstract:
A formula for power residue symbols is deduced, which can be treated as an analog of the Abelian integral theorem for number fields.References
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Bibliographic Information
- S. V. Vostokov
- Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospekt 28, Petrodvorets, 198504 St. Petersburg, Russia
- Email: sergei.vostokov@gmail.com
- Received by editor(s): April 14, 2008
- Published electronically: October 1, 2009
- Additional Notes: Supported by INTAS, SFB-478 “Algebraische Strukturen”, and RFBR (grant no. 08-01-00777-a).
- © Copyright 2009 American Mathematical Society
- Journal: St. Petersburg Math. J. 20 (2009), 929-936
- MSC (2000): Primary 11R37
- DOI: https://doi.org/10.1090/S1061-0022-09-01078-4
- MathSciNet review: 2530895