P진 L-함수 (p-adic L-function)

개요

• 디리클레 L-함수
• analytic p-adic L-functions.
• arithmetic p-adic L-function

메모

• http://mathoverflow.net/questions/22301/p-adic-l-functions
• http://mathoverflow.net/questions/43846/p-adic-l-functions
• http://mathoverflow.net/questions/13287/special-values-of-p-adic-l-functions
• Kubota-Leopoldt p-adic L-functions

관련된 항목들

• Leopoldt conjecture

사전 형태의 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/P-adic_L-function

리뷰, 강의노트

• http://math.stanford.edu/~conrad/DarmonCM/2011Notes/dirichlet.pdf
• Bertolini, Regulators,L-functions and rational points

관련논문

• Banerjee, Debargha, and A. Raghuram. ‘P-Adic L-Functions for GL(n)’. arXiv:1503.01283 [math], 4 March 2015. http://arxiv.org/abs/1503.01283.
• The derivative of p-adic L-functions
• A new proof of certain formulas for $p$-adic $L$-functions
  • Neal Koblitz, Duke Math. J. Volume 46, Number 2 (1979), 455-468.
• On the values of p-adic L-functions at positive integers
  • Jack Diamond, Acta Arith. 35 (1979), 223-237
• T. Kubota and H. W. Leopoldt, Eine $p$-adische Theorie der Zetawerte. I. Einführung der $p$-adischen Dirichletschen $L$-Funktionen, J. Reine Angew. Math. 214/215 (1964), 328–339