Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Elementary proofs of the abstract prime number theorem for algebraic function fields


Author: Wen-Bin Zhang
Journal: Trans. Amer. Math. Soc. 332 (1992), 923-937
MSC: Primary 11N80; Secondary 11M45, 11R44, 11R58
MathSciNet review: 1061781
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Elementary proofs of the abstract prime number theorem of the form $ \Lambda (m) = {q^m} + O({q^m}{m^{ - 1}})$ for algebraic function fields are given. The proofs use a refinement of a tauberian theorem of Bombieri.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 11N80, 11M45, 11R44, 11R58

Retrieve articles in all journals with MSC: 11N80, 11M45, 11R44, 11R58


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1992-1061781-X
PII: S 0002-9947(1992)1061781-X
Keywords: Abstract prime number theorem, additive arithmetic semi-group, additive convolution, tauberian theorem
Article copyright: © Copyright 1992 American Mathematical Society