transfinite arithmetic, cardinal arithmetic, ordinal arithmetic
prime field, p-adic integer, p-adic rational number, p-adic complex number
arithmetic geometry, function field analogy
Bernoulli polynomials are a family of rational polynomials which generalize Bernoulli numbers.
Piergiulio Tempesta, Formal groups, Bernoulli-type polynomials and L-series, Comptes Rendus de l Académie des Sciences - Series I - Mathematics 07/2007; 345 doi
Stefano Marmi, Piergiulio Tempesta, Hyperfunctions, formal groups and generalized Lipschitz summation formulas, Nonlinear Analysis 03/2012; 75:1768-1777 doi
Francis Clarke, The universal von Staudt theorems, Trans. Amer. Math. Soc. 315 (1989), 591-603 doi
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