Results 41 to 50 of about 48,912 (312)
Acta Mathematica, 2004 Let $ $ denote the modular group $SL(2,\Bbb Z)$ and $C_n( )$ the number of congruence subgroups of $ $ of index at most $n$. We prove that $\lim\limits_{n\to \infty} \frac{\log C_n( )}{(\log n)^2/\log\log n} = \frac{3-2\sqrt{2}}{4}.$ We also present a very general conjecture giving an asymptotic estimate for $C_n( )$ for general arithmetic groups.
Goldfeld, Dorian +2 more
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Some congruences related to harmonic numbers and the terms of the second order sequences [PDF]
Mathematica Moravica, 2016 In this paper, with helps of some combinatorial identities, we investigate various basic congruences involving harmonic numbers and terms of the second order sequences {Ukn} and {Vkn}.
Omur Nese, Koparal Sibel
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Some congruences for 3-component multipartitions
Open Mathematics, 2016 Let p3(n) denote the number of 3-component multipartitions of n. Recently, using a 3-dissection formula for the generating function of p3(n), Baruah and Ojah proved that for n ≥ 0, p3(9n + 5) ≡ 0 (mod 33) and p3 (9n + 8) ≡ 0 (mod 34).
Zhao Tao Yan, Jin Lily J., Gu C.
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, 1996 Contains fulltext : 28083.pdf (Author’s version preprint ) (Open Access)
Barthe, G., Geuvers, H.
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New congruences modulo powers of 2 for k-regular overpartition pairs [PDF]
Notes on Number Theory and Discrete MathematicsLet ̄Bₖ(n) denote the number of k regular overpartition pairs where a k-regular overpartition pair of n is a pair of k-regular overpartitions (a,b) in which the sum of all the parts is n.
Riyajur Rahman, Nipen Saikia
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Geodesic congruences in modified Schwarzschild black holes
European Physical Journal C: Particles and Fields, 2022 We investigate two different kinds of modified Schwarzschild black holes: A regularized Schwarzschild black hole and a quantum deformed Schwarzschild black hole.
Zi-Liang Wang
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The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups
The Scientific World Journal, 2014 The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups.
Shoufeng Wang
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Rights Systems and Aggregation Functions on Property Spaces
Mathematics, 2023 The notion of decisive coalitions of voters with different grades of decisiveness is a part of the mathematical framework for many models in social choice theory.
Marta Cardin
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Congruences associated with families of nilpotent subgroups and a theorem of Hirsch
Comptes Rendus. Mathématique, 2023 Our main result associates a family of congruences with each suitable system of nilpotent subgroups of a finite group. Using this result, we complete and correct the proof of a theorem of Hirsch concerning the class number of a finite group of odd order.
Aivazidis, Stefanos, Müller, Thomas
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Gauss congruences for rational functions in several variables
, 2017 We investigate necessary as well as sufficient conditions under which the Laurent series coefficients $f_{\boldsymbol{n}}$ associated to a multivariate rational function satisfy Gauss congruences, that is $f_{\boldsymbol{m}p^r} \equiv f_{\boldsymbol{m}p^{
Beukers, Frits +2 more
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