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Fingerprint Dive into the research topics where Kenichi Bannai is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

P-adic Mathematics
Polylogarithms Mathematics
Elliptic Curves Mathematics
Imaginary Quadratic Field Mathematics
Torsion Points Mathematics
Cohomology Mathematics
Theta Functions Mathematics
P-adic L-function Mathematics

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Research Output 2000 2016

  • 32 Citations
  • 4 h-Index
  • 9 Article

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

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
8 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

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