An ultrametric Nevanlinna’s second main theorem for small functions of a special type

Henna Jurvanen[1]

  • [1] Department of Physics and Mathematics University of Eastern Finland P.O.Box 111 Joensuu, FI-80101 FINLAND

Annales mathématiques Blaise Pascal (2010)

  • Volume: 17, Issue: 2, page 425-431
  • ISSN: 1259-1734

Abstract

top
In ultrametric Nevanlinna theory, the Nevanlinna’s second main theorem for small functions has only been proved in the case of at most three small functions. In this paper, we prove a second main theorem for q small functions of a special type when the residue characteristic of the field is zero.

How to cite

top

Jurvanen, Henna. "An ultrametric Nevanlinna’s second main theorem for small functions of a special type." Annales mathématiques Blaise Pascal 17.2 (2010): 425-431. <http://eudml.org/doc/116360>.

@article{Jurvanen2010,
abstract = {In ultrametric Nevanlinna theory, the Nevanlinna’s second main theorem for small functions has only been proved in the case of at most three small functions. In this paper, we prove a second main theorem for $q$ small functions of a special type when the residue characteristic of the field is zero.},
affiliation = {Department of Physics and Mathematics University of Eastern Finland P.O.Box 111 Joensuu, FI-80101 FINLAND},
author = {Jurvanen, Henna},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Ultrametric Nevanlinna theory; Second main theorem; ultrametric Nevanlinna theory; second main theorem},
language = {eng},
month = {7},
number = {2},
pages = {425-431},
publisher = {Annales mathématiques Blaise Pascal},
title = {An ultrametric Nevanlinna’s second main theorem for small functions of a special type},
url = {http://eudml.org/doc/116360},
volume = {17},
year = {2010},
}

TY - JOUR
AU - Jurvanen, Henna
TI - An ultrametric Nevanlinna’s second main theorem for small functions of a special type
JO - Annales mathématiques Blaise Pascal
DA - 2010/7//
PB - Annales mathématiques Blaise Pascal
VL - 17
IS - 2
SP - 425
EP - 431
AB - In ultrametric Nevanlinna theory, the Nevanlinna’s second main theorem for small functions has only been proved in the case of at most three small functions. In this paper, we prove a second main theorem for $q$ small functions of a special type when the residue characteristic of the field is zero.
LA - eng
KW - Ultrametric Nevanlinna theory; Second main theorem; ultrametric Nevanlinna theory; second main theorem
UR - http://eudml.org/doc/116360
ER -

References

top
  1. A. Boutabaa, Théorie de Nevanlinna p-adique, Manuscripta Math. 67 (1990), 251-269 Zbl0697.30047MR1046988
  2. A. Boutabaa, A. Escassut, An improvement of the p-adic Nevanlinna theory and application to meromorphic functions, Lecture Notes in Pure and Appl. Math. 207 (1999), 29-38 Zbl0937.30028MR1702045
  3. A. Boutabaa, A. Escassut, Applications of the p-adic Nevanlinna Theory, Lecture Notes in Pure and Appl. Math. 222 (2001), 49-61 Zbl1005.30036MR1838281
  4. A. Escassut, Analytic Elements in p-adic Analysis,, (1995), World Scientific, Singapore Zbl0933.30030MR1370442
  5. A. Escassut, p-adic value distribution, Some topics on value distribution and differentiability in complex and p-adic analysis, (2008), Science Press, Beijing Zbl1233.30005
  6. K. Yamanoi, The second main theorem for small functions and related problems, Acta Math. 192 (2004), 225-294 Zbl1203.30035MR2096455

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.