An Extension of a Congruence by Tauraso
نویسندگان
چکیده
منابع مشابه
Polynomial Extension of Fleck’s Congruence
Let p be a prime, and let f(x) be an integer-valued polynomial. By a combinatorial approach, we obtain a nontrivial lower bound of the p-adic order of the sum ∑ k≡r (mod pβ) (n k ) (−1)f (⌊ k − r pα ⌋) , where α > β > 0, n > pα−1 and r ∈ Z. This polynomial extension of Fleck’s congruence has various backgrounds and several consequences such as ∑ k≡r (mod pα) (n k ) a ≡ 0 ( mod p ⌊ n−pα−1 φ(pα) ...
متن کاملArith . POLYNOMIAL EXTENSION OF FLECK ’ S CONGRUENCE
Let p be a prime, and let f (x) be an integer-valued polynomial. By a combinatorial approach, we obtain a nontrivial lower bound of the p-adic order of the sum k≡r (mod p β) n k (−1) k f k − r p α , where α β 0, n p α−1 and r ∈ Z. This polynomial extension of Fleck's congruence has various backgrounds and several consequences such as k≡r (mod p α) n k a k ≡ 0 mod p n−p α−1 ϕ(p α) provided that ...
متن کاملPolynomial Extension of Fleck ’ S Congruence 3
Let p be a prime, and let f (x) be an integer-valued polynomial. By a combinatorial approach, we obtain a nontrivial lower bound of the p-adic order of the sum k≡r (mod p β) n k (−1) k f k − r p α , where α β 0, n p α−1 and r ∈ Z. This polynomial extension of Fleck's congruence has various backgrounds and several consequences such as k≡r (mod p α) n k a k ≡ 0 mod p n−p α−1 ϕ(p α) provided that ...
متن کاملan investigation into translation of cultural concepts by beginner and advance student using think – aloud protocols
this research aims at answering the questions about translation problems and strategies applied by translators when translating cultural concepts. in order to address this issue, qualitative and quantitative study were conducted on two groups of subjects at imam reza international university of mashhad. these two groups were assigned as beginner and advanced translation students (10 students). ...
Congruence Properties for a Timed Extension of the π-Calculus
We propose equivalences and preorders with congruence properties for a timed extension of the π-calculus. We present a timed extension of syntax and basic operational semantics to the π-calculus. The derived timed bisimulation relations are shown to be non-input congruent. The timed bisimilarities equalize the bisimilar processes not only in actions but also in timing of the actions. For the pu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ISRN Combinatorics
سال: 2013
ISSN: 2090-8911
DOI: 10.1155/2013/363724