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Main publications

  1. Noriko Hirata-Kohno, Masaru Ito and Yusuke Washio,
A criterion for the linear independence of polylogarithms over a number field, submitted.
  2. Noriko Hirata-Kohno and F. Luca, On the Diophantine equation $F_n^x+F_{n+1}^x=F_m^y$, Rocky Mountain Journal of Mathematics, to appear in Rocky Mountain Journal of Mathematics (2015).
  3. Noriko Hirata-Kohno and Tunde Kovacs, Computing $S$-integral points on elliptic curves of rank at least $3$,
RIMS Kokyuroku, Kyoto University, vol. 1898, (2014), 92–102.
  4. Noriko Hirata-Kohno, Diophantine approximation related to polylogarithms, 
RIMS Kokyuroku, Kyoto University, vol. 1898, (2014), 194–206.
  5. Noriko Hirata-Kohno and Tunde Kovacs, S-integral points on elliptic curves 
via new approximation of p-adic elliptic logarithms, preprint.
  6. Noriko Hirata-Kohno, Linear forms in p-adic elliptic logarithms, preprint.
  7. Attila B\’erczes, Lajos Hajdu, Noriko Hirata-Kohno, Tunde Kovacs and Attila Peth\H{o},
A key exchange protocol based on Diophantine equations and S-integers, JSIAM Letters, vol.6, (2014), 85–88.
  8. Noriko Hirata-Kohno and A. Peth\H{o}, On a key exchange protocol based on Diophantine equations, 
Infocommunications Journal, ISSN 2061-2079, vol. 5, (2013), No. 3, 17–21.
  9. M. Ito and Noriko Hirata-Kohno, Optimization for lattices and Diophantine approximations, Interdisciplonary Information Sciences, vol. 19, No. 2, (2013), 135–142.
  10. Noriko Hirata-Kohno, Arithmetic properties of p-adic elliptic polylogarithms and irrationality, In: Diophantische Approximationen, Oberwolfach Report vol. 9, Issue 2, 1347–1351, (2012), eds. Y. Bugeaud and Yu. V. Nesterenko, European Math. Society .
  11. Noriko Hirata-Kohno and H. Okada, A note on linear independence of polylogarithms over the rationals, Proceedings of the Japan Academy, series A, 88/9, November 2012, 156–161.
  12. Noriko Hirata-Kohno, Diophantus Approximations, The Mathematical Society of Japan, Sugaku, Iwanami, July 2012, vol. 64(3), 254–277.
  13. Noriko Hirata-Kohno, Arithmetic properties of p-adic elliptic logarithmic functions, Series on Number Theory and its Applications, vol. 7, 2011, 110–119.
  14. Noriko Hirata-Kohno and R. Takada, Linear forms in two elliptic logarithms in the p-adic case, Kyushu J. of Mathematics, vol. 64, no. 2, (2010), 239–260.
  15. S. David and Noriko Hirata-Kohno, Linear forms in elliptic logarithms, Journal fur die reine und angewandte Mathematik, vol. 628, (2009), 37–89.
  16. Noriko Hirata-Kohno, S. Laishram, T. N. Shorey and R. Tijdeman, An extension of a theorem of Euler, Acta Arithmetica vol. 129 (1), (2007), 71–102.
  17. Noriko Hirata-Kohno, Transcendental Numbers/Diophantine Approximations, in Sugaku Jiten, Iwanami (ed. the Mathematical Society of Japan), the 4th edition.
  18. S. David and Noriko Hirata-Kohno, Logarithmic Functions and Formal Groups of Elliptic Curves, In: Diophantine Equations (ed. N. Saradha), Tata Institute of Fundamental Research, Narosa Publishing House, India, 243–255.
  19. S. David and Noriko Hirata-Kohno, Recent progress on linear forms in elliptic logarithms, A Panorama in Number Theory, (ed. G. Wuestholz), Cambridge Univ. Press (2002), 26–37.
  20. J. -H. Evertse and Noriko Hirata-Kohno, Wirsing systems and resultant inequalities, in the Proceedings Number Theory of the New Millennium (ed. M. A. Bennett et al.), vol. 1 (2002), 449–461.
  21. Noriko Hirata-Kohno, Approximations simultanees sur les groupes algebriques commutatifs, Compositio Math., vol. 86, (1993), 69–96.
  22. Noriko Hirata-Kohno, Formes lineaires de points algebriques sur les groupes algebriques, Invent. Math., vol. 104, (1991), 401–433.
  23. Noriko Hirata-Kohno, Formes lineaires d’integrales elliptiques, Progress in Math., vol. 91, (1990), 117–140.
  24. Noriko Hirata-Kohno, Mesures de transcendance pour les quotients de periodes d’integrales elliptiques, Acta Arith., vol. 56, No. 2 (1990), 111–133.

研究費によるプログラム

* ディオファントス方程式の変換とクリプトシステム原理の新展開(2014〜2017)
Number of Subject=226520208
Grant-in-Aid for Scientific Research/基盤研究(C)特設分野研究:連携探索型数理科学

過去の主要研究費

* Next Program, 2010-2013 (Number of Subject=GR 087)
詳細はこちらです
* Grant-in-Aid for JSPS Fellows, 2012-2013 (Number of Subject=2402806)
* Grant-in-Aid for Scientific Research (C), 2010-2010 (Number of Subject=22540034)
* Grant-in-Aid for Scientific Research (C), 2007-2009 (Number of Subject=19540053)
* Grant-in-Aid for JSPS Fellows, 2005-2006 (Number of Subject=1705293)
* Grant-in-Aid for Scientific Research (C), 2004-2007 (Number of Subject=16540044)
* Grant-in-Aid for Scientific Research (C), 2000-2003 (Number of Subject=12640042)
* Grant-in-Aid for Scientific Research (C)(2), 1997-1998 (Number of Subject=09640069)
* Grant-in-Aid for Scientific Research on Priority Areas, 1996 (Number of Subject=08211259)
* Grant-in-Aid for Scientific Research (C)(2), 1994-1996 (Number of Subject=06640082)