Papers - Shimomura, Shun

Truncated solutions of the fifth Painleve equation

SHIMOMURA SHUN

Funkcial. Ekvac. 54   451--471 2011

Research paper (scientific journal), Single Work, Accepted

Algebraic independence results for reciprocal sums of Fibonacci numbers

Elsner, Carsten; SHIMOMURA SHUN; Shiokawa, Iekata

Acta Arith. 148 ( 3 ) 205–223 - 223 2011

Research paper (scientific journal), Joint Work, Accepted,  ISSN  0065-1036

• Access to Document (DOI)

A remark on Nesterenko's theorem for Ramanujan functions

Carsten Elsner, Shun Shimomura, Iekata Shiokawa

RAMANUJAN JOURNAL 21 ( 2 ) 211 - 221 2010.02

Accepted,  ISSN  1382-4090

• Access to Document (DOI)

Algebraic relations for reciprocal sums of even terms of a Fibonacci sequence. (Russian)

Elsner, Carsten; SHIMOMURA SHUN; Shiokawa, Iekata

Fundam. Prikl. Mat. ; English translation in J. Math. Sci. (N. Y.) 180 (2012), no. 5, 650–671 16 ( 5 ) 173--200 - 200 2010

Research paper (scientific journal), Joint Work, Accepted,  ISSN  1560-5159

Modularity gap for Eisenstein series

SHIMOMURA SHUN

Proc. Japan Acad. Ser. A 86   79--84 2010

Research paper (scientific journal), Single Work, Accepted

Algebraic independence results for the sixteen families of q-series

Elsner, Carsten; SHIMOMURA SHUN; Shiokawa, Iekata; Tachiya, Yohei

Ramanujan J. 22 ( 3 ) 315–344 - 344 2010

Research paper (scientific journal), Joint Work, Accepted,  ISSN  1382-4090

• Access to Document (DOI)

Asymptotic representations for Fibonacci reciprocal sums and Euler's formula for zeta values

Elsner, Carsten; SHIMOMURA SHUN; Shiokawa, Iekata

J. Theor. Nombres Bordeaux 21   145--157 2009

Research paper (scientific journal), Joint Work, Accepted

Some estimates for logarithmic derivatives of meromorphic functions

SHIMOMURA SHUN

Result. Math. 54   173--182 2009

Research paper (scientific journal), Single Work, Accepted

Meromorphic solutions of difference Painlev'e equations

SHIMOMURA SHUN

J. Phys. A: Math. Theor. 42   315213 (19pp) 2009

Research paper (scientific journal), Single Work, Accepted

Nonlinear differential equations of second Painlev'e type with the quasi-Painlev'e property

SHIMOMURA SHUN

Tohoku Math. J. 60   581--595 2008

Research paper (scientific journal), Single Work, Accepted

Reciprocal sums of Fibonacci numbers

Elsner, Carsten; SHIMOMURA SHUN; Shiokawa, Iekata

Diophantine Analysis and Related Fields DARF 2007/2008, AIP Conference Proceedings 976, American Institute of Physics (Melville, New York)  976   77--89 2008

Research paper (scientific journal), Joint Work

Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers

Elsner, Carsten; SHIMOMURA SHUN; Shiokawa, Iekata

Ramanujan J. 17 ( 3 ) 429--446 - 446 2008

Research paper (scientific journal), Joint Work, Accepted,  ISSN  1382-4090

• Access to Document (DOI)

Equi-distribution of values for the third and the fifth Painlev'e transcendents

SHIMOMURA SHUN

Nagoya Math. J. 192   89--109 2008

Research paper (scientific journal), Single Work, Accepted

A class of differential equations of PI-type with the quasi-Painleve property

Shun Shimomura

ANNALI DI MATEMATICA PURA ED APPLICATA 186 ( 2 ) 267 - 280 2007.04

Accepted,  ISSN  0373-3114

• Access to Document (DOI)

Algebraic relations for reciprocal sums of Fibonacci numbers

Elsner, Carsten; SHIMOMURA SHUN; Shiokawa, Iekata

Acta Arith. 130 ( 1 ) 37--60 - 60 2007

Research paper (scientific journal), Joint Work, Accepted,  ISSN  0065-1036

• Access to Document (DOI)

Asymptotic solutions of a degenerate Garnier system of the first Painlev'e type

SHIMOMURA SHUN

RIMS K^{o}ky^{u}roku Bessatsu B2   227--237 2007

Research paper (scientific journal), Single Work, Accepted

A family of solutions of a higher order PVI equation near a regular singularity

Shun Shimomura

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 39 ( 39 ) 12153 - 12165 2006.09

Accepted,  ISSN  0305-4470

• Access to Document (DOI)

Algebraic relations for reciprocal sums of binary recurrences

Elsner, Carsten; SHIMOMURA SHUN; Shiokawa, Iekata

Diophantine Analysis and Related Fields 2006, In honor of Iekata Shiokawa, Seminar on Mathematical Sciences, Keio University (Keio University)  35   77--92 2006

Research paper (scientific journal), Joint Work

Meromorphic solutions of Riccati differential equations with doubly periodic coefficients

SHIMOMURA SHUN

J. Math. Anal. Appl. 304   644--651 2005

Research paper (scientific journal), Single Work, Accepted

On certain nonlinear differential equations

SHIMOMURA SHUN

Proceedings of the 12th International Conference on Finite or Infinite Dimentional Complex Analysis and Applications, (Kyushu University Press)     299--304 2005

Research paper (scientific journal), Single Work