منابع مشابه
Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type
Evaluations of series of the q-Watson, q-Dixon, and q-Whipple type Chuanan Wei1∗ Xiaoxia Wang2† 1 Department of Medical Informatics, Hainan Medical University, China 2 Department of Mathematics, Shanghai University, China received 16th Apr. 2016, revised 1st May 2017, accepted 6th June 2017. Using q-series identities and series rearrangement, we establish several extensions of q-Watson formulas...
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In this paper, we establish some relations involving q-Euler type sums, q-harmonic numbers and q-polylogarithms. Then, using the relations obtained with the help of q-analog of partial fraction decomposition formula, we develop new closed form representations of sums of q-harmonic numbers and reciprocal q-binomial coefficients. Moreover, we give explicit formulas for several classes of q-harmon...
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X iv :0 90 4. 34 53 v1 [ m at h. C A ] 2 2 A pr 2 00 9 Symmetry, Integrability and Geometry: Methods and Applications SIGMA 5 (2009), 050, 19 pages Partial Sums of Two Quartic q-Series Wenchang CHU † and Chenying WANG ‡ † Dipartimento di Matematica, Università degli Studi di Salento, Lecce-Arnesano P. O. Box 193, Lecce 73100, Italy E-mail: [email protected] ‡ College of Mathematics and Phys...
متن کاملOn Jacobi Sums in Q(ζp)
We study the p-adic behavior of Jacobi sums for Q(ζp) and link this study to the p-Sylow subgroup of the class group of Q(ζp) + and to some properties of the jacobian of the Fermat curve Xp + Y p = 1 over Fl where l is a prime number distinct from p. Let p be a prime number, p ≥ 5. Iwasawa has shown that the p-adic properties of Jacobi sums for Q(ζp) are linked to Vandiver’s Conjecture (see [5]...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2011
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-2010-10701-3