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

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

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Research Output 2002 2017

  • 99 Citations
  • 4 h-Index
  • 9 Article

The radius of convergence of the p-adic sigma function

Bannai, K., Kobayashi, S. & Yasuda, S., Jun 1 2017, In : Mathematische Zeitschrift. 286, 1-2, p. 751-781 31 p.

Research output: Contribution to journalArticle

Sigma function
Radius of convergence
P-adic
Imaginary Quadratic Field
Divisibility
1 Citation (Scopus)

Integral structures on p-adic fourier theory

Bannai, K. & Kobayashi, S., Jan 1 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

Torsion points on Jacobian varieties via Anderson's p-adic soliton theory

Kobayashi, S. & Yamazaki, T., Jan 1 2016, In : Asian Journal of Mathematics. 20, 2, p. 323-352 30 p.

Research output: Contribution to journalArticle

Theta Divisor
Jacobian Varieties
Torsion Points
Solitons
P-adic

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

Bannai, K., Furusho, H. & Kobayashi, S., Jan 1 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
10 Citations (Scopus)

The p-adic Gross-Zagier formula for elliptic curves at supersingular primes

Kobayashi, S., Jan 1 2013, In : Inventiones Mathematicae. 191, 3, p. 527-629 103 p.

Research output: Contribution to journalArticle

P-adic
Gross
Elliptic Curves
P-adic L-function
Complex multiplication