Estimates of Fourier coefficients.
Tsagareishvili, V. (2003)
Georgian Mathematical Journal
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Tsagareishvili, V. (2003)
Georgian Mathematical Journal
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Ayyer, Arvind (2009)
Journal of Integer Sequences [electronic only]
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Kuroki, Kazunori (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Smagin, V. V. (2001)
Sibirskij Matematicheskij Zhurnal
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Abdelmejid Bayad, Yilmaz Simsek (2011)
Annales de l’institut Fourier
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In this paper we study three new shifted sums of Apostol-Dedekind-Rademacher type. The first sums are written in terms of Jacobi modular forms, and the second sums in terms of cotangent and the third sums are expressed in terms of special values of the Barnes multiple zeta functions. These sums generalize the classical Dedekind-Rademacher sums. The main aim of this paper is to state and prove the Dedekind reciprocity laws satisfied by these new sums. As an application of our Dedekind...
Hayami, Toshio, Owa, Shigeyoshi (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Sever S. Dragomir (2005)
Kragujevac Journal of Mathematics
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Fischer, Ilse (2001)
Séminaire Lotharingien de Combinatoire [electronic only]
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Dragomir, Sever S. (2005)
General Mathematics
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Ţincu, Ioan (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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