Solution to a problem of Bombieri

Andrew Granville

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1993)

  • Volume: 4, Issue: 3, page 181-183
  • ISSN: 1120-6330

Abstract

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We solve a problem of Bombieri, stated in connection with the «prime number theorem» for function fields.

How to cite

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Granville, Andrew. "Solution to a problem of Bombieri." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4.3 (1993): 181-183. <http://eudml.org/doc/244205>.

@article{Granville1993,
abstract = {We solve a problem of Bombieri, stated in connection with the «prime number theorem» for function fields.},
author = {Granville, Andrew},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Distribution of primes; Elementary proofs; Prime number theorem; distribution of primes; elmentary proofs of the prime number theorem; Bombieri problem; Selberg-type formula; elementary Tauberian theorem},
language = {eng},
month = {9},
number = {3},
pages = {181-183},
publisher = {Accademia Nazionale dei Lincei},
title = {Solution to a problem of Bombieri},
url = {http://eudml.org/doc/244205},
volume = {4},
year = {1993},
}

TY - JOUR
AU - Granville, Andrew
TI - Solution to a problem of Bombieri
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1993/9//
PB - Accademia Nazionale dei Lincei
VL - 4
IS - 3
SP - 181
EP - 183
AB - We solve a problem of Bombieri, stated in connection with the «prime number theorem» for function fields.
LA - eng
KW - Distribution of primes; Elementary proofs; Prime number theorem; distribution of primes; elmentary proofs of the prime number theorem; Bombieri problem; Selberg-type formula; elementary Tauberian theorem
UR - http://eudml.org/doc/244205
ER -

References

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  1. BOMBIERI, E., Sull'analogo della formula di Selberg nei corpi di funzioni. Atti Acc. Lincei Rend. fis., s. 8, 35, 1963, 252-257. Zbl0121.28201MR175885
  2. BOMBIERI, E., Correction to my paper «Sull'analogo della formula di Selberg nei corpi di funzioni». Rend. Mat. Acc. Lincei, s. 9, 1, 1990, 177-179. Zbl0714.11060MR1083245
  3. ERDÖS, P., On a tauberian theorem connected with the new proof of the prime number theorem. Jour. Ind. Math. Soc., 13, 1949, 133-147. Zbl0034.31501MR33309
  4. ZHANG, W.-B., Elementary proofs of the abstract prime number theorem for algebraic function fields. Preprint. Zbl0759.11030MR1061781DOI10.2307/2154203

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