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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)



The classical reciprocity law for power residues as an analog of the Abelian integral theorem

Author: S. V. Vostokov
Translated by: B. M. Bekker
Original publication: Algebra i Analiz, tom 20 (2008), nomer 6.
Journal: St. Petersburg Math. J. 20 (2009), 929-936
MSC (2000): Primary 11R37
Published electronically: October 1, 2009
MathSciNet review: 2530895
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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Additional Information

S. V. Vostokov
Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospekt 28, Petrodvorets, 198504 St. Petersburg, Russia

Keywords: Power residue symbol, reciprocity law
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).
Article copyright: © Copyright 2009 American Mathematical Society