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Research Output 2000 2016

  • 36 Citations
  • 4 h-Index
  • 9 Article
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Article
2016
1 Citation (Scopus)

Integral structures on p-adic fourier theory

Bannai, K. & Kobayashi, S., 2016, In : Annales de l'Institut Fourier. 66, 2, p. 521-550 30 p.

Research output: Contribution to journalArticle

P-adic
Analytic function
Bernoulli
Congruence
Fourier transform

The radius of convergence of the p-adic sigma function

Bannai, K., Kobayashi, S. & Yasuda, S., 2016 Oct 31, (Accepted/In press) In : Mathematische Zeitschrift. p. 1-31 31 p.

Research output: Contribution to journalArticle

Sigma function
Radius of convergence
P-adic
Imaginary Quadratic Field
Divisibility
2015

p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas

Bannai, K., Furusho, H. & Kobayashi, S., 2015, In : Nagoya Mathematical Journal. 219, 1, p. 269-302 34 p.

Research output: Contribution to journalArticle

P-adic
Elliptic Curves
Series
Analogue
Complex multiplication
2010
9 Citations (Scopus)

Algebraic theta functions and the p-adic interpolation of eisenstein-kronecker numbers

Bannai, K. & Kobayashi, S., 2010 Jun, In : Duke Mathematical Journal. 153, 2, p. 229-295 67 p.

Research output: Contribution to journalArticle

Algebraic function
Imaginary Quadratic Field
Theta Functions
L-function
P-adic
4 Citations (Scopus)

On the de Rham and p-adic realizations of the elliptic polylogarithm for CM elliptic curves

Bannai, K., Kobayashi, S. & Tsuji, T., 2010 Mar, In : Annales Scientifiques de l'Ecole Normale Superieure. 43, 2, p. 185-234 50 p.

Research output: Contribution to journalArticle

Polylogarithms
P-adic
Elliptic Curves
P-adic L-function
Torsion Points
3 Citations (Scopus)

P-adic elliptic polylogarithm, p-adic eisenstein series and Katz measure

Bannai, K. & Kings, G., 2010 Dec, In : American Journal of Mathematics. 132, 6, p. 1609-1654 46 p.

Research output: Contribution to journalArticle

Polylogarithms
Eisenstein Series
P-adic
Modular Curves
Modular Forms
2002
6 Citations (Scopus)

On the p-adic realization of elliptic polylogarithms for CM-elliptic curves

Bannai, K., 2002 Jun 1, In : Duke Mathematical Journal. 113, 2, p. 193-236 44 p.

Research output: Contribution to journalArticle

P-adic L-function
Polylogarithms
Torsion Points
Specialization
P-adic
7 Citations (Scopus)

Syntomic cohomology as a p-adic absolute Hodge cohomology

Bannai, K., 2002, In : Mathematische Zeitschrift. 242, 3, p. 443-480 38 p.

Research output: Contribution to journalArticle

P-adic
Cohomology
Coefficient
Analogue
2000
6 Citations (Scopus)

Rigid syntomic cohomology and p-adic polylogarithms

Bannai, K., 2000, In : Journal fur die Reine und Angewandte Mathematik. 529, p. 205-237 33 p.

Research output: Contribution to journalArticle

Polylogarithms
P-adic
Cohomology
Torsional stress
Mixed Hodge Structure