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

articles

• Alexei Panchishkin, Graded structures and dierential operators on nearly holomorphic and quasimodular forms on classical groups, arXiv:1606.02904 [math.NT], June 09 2016, http://arxiv.org/abs/1606.02904
• Jack Diamond, P-adic Line Integrals and Cauchy's Theorems, arXiv:1605.06484 [math.NT], May 20 2016, http://arxiv.org/abs/1605.06484
• Bharathwaj Palvannan, On Selmer groups and factoring p-adic L-functions, arXiv:1605.01026 [math.NT], May 03 2016, http://arxiv.org/abs/1605.01026
• Giovanni Rosso, Derivative of the standard \(p\)-adic \(L\)-function associated with a Siegel form, http://arxiv.org/abs/1603.00956v1
• Sprung, Florian. “On Pairs of P-Adic L-Functions for Weight Two Modular Forms.” arXiv:1601.00010 [math], December 31, 2015. http://arxiv.org/abs/1601.00010.
• Furusho, Hidekazu, Yasushi Komori, Kohji Matsumoto, and Hirofumi Tsumura. “Fundamentals of P-Adic Multiple L-Functions and Evaluation of Their Special Values.” arXiv:1508.07185 [math], August 28, 2015. http://arxiv.org/abs/1508.07185.
• 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
• Koblitz, Neal. ‘A New Proof of Certain Formulas for \(p\)-Adic \(L\)-Functions’. Duke Mathematical Journal 46, no. 2 (197906): 455–68. doi:10.1215/S0012-7094-79-04621-0
• 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