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Ronald Evans 《Journal of Mathematical Analysis and Applications》2003,281(2):454-476
We consider the classical incomplete higher-order Gauss sums
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Kevin G. Hare 《Journal of Number Theory》2004,105(2):262-274
For q∈(1,2), Erdös, Joó and Komornik studied the set:
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J.M. Gutiérrez M.A. Hernández P.J. Miana N. Romero 《Journal of Mathematical Analysis and Applications》2008,341(1):52-61
In this paper we prove new identities in the Catalan triangle whose (n,p) entry is defined by
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David P. Little 《Journal of Combinatorial Theory, Series A》2009,116(1):223-231
In 1840, V.A. Lebesgue proved the following two series-product identities:
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In this paper we obtain the moments {Φm}m?0 defined by
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David Garth 《Journal of Number Theory》2006,121(2):187-203
For q∈(1,2), Erd?s, Joó and Komornik studied the spectra of q, defined as
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We use combinatorial methods to evaluate Hankel determinants for the sequence of sums of consecutive t-Motzkin numbers. More specifically, we consider the following determinant:
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Taekyun Kim 《Journal of Mathematical Analysis and Applications》2007,329(2):1472-1481
In this paper, we give an explicit p-adic expansion of
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Riad Masri 《Journal of Number Theory》2004,106(2):219-237
In this paper, we define L-series generalizing the Herglotz-Zagier function (Ber. Verhandl. Sächsischen Akad. Wiss. Leipzig 75 (3-14) (1923) 31, Math. Ann. 213 (1975) 153), and the double zeta function (First European Congress of Mathematics, Vol. II, Paris, 1992, pp. 497-512; Progress in Mathematics, Vol. 120, Birkhäuser, Basel, 1994) and evaluate them after meromorphic continuation at integer points in their extended domains. This is accomplished in three steps. First, when is a periodic function and are the harmonic numbers, we establish identities relating these series to the L-series
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This note shows that every positive solution to the following third order non–autonomous max-type difference equationwhen is a three-periodic sequence of positive numbers, is periodic with period three. The same result was proved for the following min-type difference equation 相似文献
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Xi Chen 《Journal of Mathematical Analysis and Applications》2010,362(2):355-635
In this paper, a class of multiple fractional type weights is defined as
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Tingfan Xie 《Journal of Mathematical Analysis and Applications》2006,315(1):359-366
Let . Newman inequality is
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Takao Akahori Peter M. Garfield 《Journal of Mathematical Analysis and Applications》2007,333(1):24-41
We cannot see from
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