81 citations · 318 across the 48 of their papers we have counts for
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math.NT2013★ 15 cited
Numbers as functions
Yuri I. Manin
In this survey I discuss A. Buium's theory of ``differential equations in the p-adic direction'' ([Bu05]) and its interrelations with ``geometry over fields with one element'', on…
cs.IT2013★ 4 cited
Zipf's law and L. Levin's probability distributions
Yuri I. Manin
Zipf's law in its basic incarnation is an empirical probability distribution governing the frequency of usage of words in a language. As Terence Tao recently remarked, it still lac…
math.NT2013
Non-commutative generalized Dedekind symbols
Yuri I. Manin
We define and study generalized Dedekind symbols with values in non--necessarily commutative groups, generalizing constructions of Sh. Fukuhara in [Fu1], [Fu2]. Basic examples of s…