14 citations · 26 across the 13 of their papers we have counts for
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math.LO2020★ 2 cited
Axioms for Commutative Unital Rings elementarily Equivalent to Restricted Products of Connected Rings
Jamshid Derakhshan, Angus Macintyre
We give axioms in the language of rings augmented by a 1-ary predicate symbol with intended interpretation in the Boolean algebra of idempotents as the ideal of finite ele…
math.NT2020
-adic model theory, -adic integrals, Euler products, and zeta functions of groups
Jamshid Derakhshan
We give a survey of Denef's rationality theorem on -adic integrals, its uniform in versions, the relevant model theory, and a number of applications to counting subgroups of…
math.LO2020★ 3 cited
Model Theory of Adeles and Number Theory
Jamshid Derakhshan
This paper is a survey on model theory of adeles and applications to model theory, algebra, and number theory. Sections 1-12 concern model theory of adeles and the results are join…