One problem of D. S. Mitrinovič and its generalization
Nikola Rosić (2001)
Kragujevac Journal of Mathematics
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Displaying similar documents to “A generalization of Rademacher's theorem on complete differential”
One problem of D. S. Mitrinovič and its generalization
A generalization of a theorem of S. Gołąb and M. Kucharzewski
Jan Luchter (1971)
Annales Polonici Mathematici
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On recurrence property of Riesz-Raikov sums.
Fukuyama, Katusi, Kondo, Ryota (2007)
Lobachevskii Journal of Mathematics
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A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums
L. Carlitz (1980)
Acta Arithmetica
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Equality of Dedekind sums modulo 8ℤ
Emmanuel Tsukerman (2015)
Acta Arithmetica
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Using a generalization due to Lerch [Bull. Int. Acad. François Joseph 3 (1896)] of a classical lemma of Zolotarev, employed in Zolotarev's proof of the law of quadratic reciprocity, we determine necessary and sufficient conditions for the difference of two Dedekind sums to be in 8ℤ. These yield new necessary conditions for equality of two Dedekind sums. In addition, we resolve a conjecture of Girstmair [arXiv:1501.00655].
Generalizations of Dedekind sums and their reciprocity laws
Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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On generalization of some theorem of Dini
Szkopińska, Bożena, Jaskuła, Janusz (2015-12-13T07:57:46Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Reciprocity formulae for general multiple Dedekind-Rademacher sums and enumeration of lattice points
Abdelmejid Bayad, Abdelaziz Raouj (2010)
Acta Arithmetica
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A generalization of Morera's Theorem
H. L. Royden (1962)
Annales Polonici Mathematici
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Bernoulli-Dedekind sums
Matthias Beck, Anastasia Chavez (2011)
Acta Arithmetica
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The reciprocity theorem for Dedekind-Rademacher sums
L. Carlitz (1976)
Acta Arithmetica
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Two remarks on the Khintchine-Kahane inequality
B. Tomaszewski (1982)
Colloquium Mathematicae
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Generalized Dedekind sums.
L. Carlitz (1964)
Mathematische Zeitschrift
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Some identities for multiple Dedekind sums attached to Dirichlet characters
Kazuhito Kozuka (2011)
Acta Arithmetica
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The linear modulus of an integral operator
A. C. Zaanen (1972)
Mémoires de la Société Mathématique de France
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Quantized orthonormal systems: A non-commutative Kwapień theorem
J. García-Cuerva, J. Parcet (2003)
Studia Mathematica
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The concepts of Riesz type and cotype of a given Banach space are extended to a non-commutative setting. First, the Banach space is replaced by an operator space. The notion of quantized orthonormal system, which plays the role of an orthonormal system in the classical setting, is then defined. The Fourier type and cotype of an operator space with respect to a non-commutative compact group fit in this context. Also, the quantized analogs of Rademacher and Gaussian systems are treated....