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20022011
most citedLinear Confinement and AdS/QCD

1.1k citations

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6 papers · 1 filter

math.NT2011

Infinite class towers for function fields

Jing Hoelscher

This paper gives examples of function fields over a finite field of power order ramified only at one finite regular prime over , which adm…

math.NT2008

Some consequences of Schanuel's Conjecture

Chuangxun Cheng, Brian Dietel, Mathilde Herblot +6

During the Arizona Winter School 2008 (held in Tucson, AZ) we worked on the following problems: a) (Expanding a remark by S. Lang). Define Inductively…

math.NT2007

Distribution of Farey Fractions in Residue Classes and Lang--Trotter Conjectures on Average

A. C. Cojocaru, I. E. Shparlinski

We prove that the set of Farey fractions of order , that is, the set $\{α/β\in \Q : \gcd(α, β) = 1, 1 \le α, β\le T\}$, is uniformly distributed in residue classes modulo a prim…

math.NT200410 cited

Recurrence Relations for Elliptic Sequences: every Somos 4 is a Somos

Alfred J. van der Poorten, Christine S. Swart

In his `Memoir on Elliptic Divisibility Sequences', Morgan Ward's definition of the said sequences has the remarkable feature that it does not become at all clear until deep into t…

math.NT20049 cited

Duality for admissible locally analytic representations

Peter Schneider, Jeremy Teitelbaum

We study the problem of constructing a contragredient functor on the category of admissible locally analytic representations of a p-adic analytic group G. A naive contragredient do…

math.NT2002

Relations between the ranks and cranks of partitions

A. O. L. Atkin, F. G. Garvan

New identities and congruences involving the ranks and cranks of partitions are proved. The proof depends on a new partial differential equation connecting their generating functio…