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Stirling pairs

L. Carlitz (1978)

Rendiconti del Seminario Matematico della Università di Padova

Strong spectral gaps for compact quotients of products of PSL ( 2 , ) )

Dubi Kelmer, Peter Sarnak (2009)

Journal of the European Mathematical Society

The existence of a strong spectral gap for quotients Γ G of noncompact connected semisimple Lie groups is crucial in many applications. For congruence lattices there are uniform and very good bounds for the spectral gap coming from the known bounds towards the Ramanujan–Selberg conjectures. If G has no compact factors then for general lattices a spectral gap can still be established, but there is no uniformity and no effective bounds are known. This note is concerned with the spectral gap for an irreducible...

Strong versions of Kummer-type congruences for Genocchi numbers and polynomials and tangent coefficients

Mehmet Cenkci (2005)

Acta Mathematica Universitatis Ostraviensis

We use the properties of p -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.

Strongly automatic semigroups

Paul Mercat (2013)

Bulletin de la Société Mathématique de France

Dans cet article, nous introduisons la notion de semi-groupe fortement automatique, qui entraîne la notion d’automaticité des semi-groupes usuelle. On s’intéresse particulièrement aux semi-groupes de développements en base β , pour lesquels on obtient un critère de forte automaticité.

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