Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135221/1/jlms0422.pd
AbstractAsymptotic behaviour of the counting function of Beurling integers is deduced from Chebyshev...
AbstractThe idea to use classical hypergeometric series and, in particular, well-poised hypergeometr...
International audienceLet h(n) denote the largest product of distinct primes whose sum is n. The mai...
AbstractLet g(x,n), with x∈R+, be a step function for each n. Assuming certain technical hypotheses,...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
AbstractThis paper is motivated by an open problem of Anderson, Vamanamurthy, and Vuorinen. We prove...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
AbstractIn a recent paper by the authors, a bounded version of Göllnitz's (big) partition theorem wa...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
AbstractThe main object of the present work is to investigate several families of double-series iden...
AbstractWe define two finite q-analogs of certain multiple harmonic series with an arbitrary number ...
We use elementary arguments to prove results on the order of magnitude of certain sums concerning th...
Let $k\ge 2$ be a fixed integer. We consider sums of type $\sum_{n_1\cdots n_k\le x} F(n_1,\ldots,n_...
AbstractBased upon the classical derivative and integral operators we introduce a new operator which...
AbstractIn this paper authors prove a general theorem on generating relations for a certain sequence...
AbstractAsymptotic behaviour of the counting function of Beurling integers is deduced from Chebyshev...
AbstractThe idea to use classical hypergeometric series and, in particular, well-poised hypergeometr...
International audienceLet h(n) denote the largest product of distinct primes whose sum is n. The mai...
AbstractLet g(x,n), with x∈R+, be a step function for each n. Assuming certain technical hypotheses,...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
AbstractThis paper is motivated by an open problem of Anderson, Vamanamurthy, and Vuorinen. We prove...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
AbstractIn a recent paper by the authors, a bounded version of Göllnitz's (big) partition theorem wa...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
AbstractThe main object of the present work is to investigate several families of double-series iden...
AbstractWe define two finite q-analogs of certain multiple harmonic series with an arbitrary number ...
We use elementary arguments to prove results on the order of magnitude of certain sums concerning th...
Let $k\ge 2$ be a fixed integer. We consider sums of type $\sum_{n_1\cdots n_k\le x} F(n_1,\ldots,n_...
AbstractBased upon the classical derivative and integral operators we introduce a new operator which...
AbstractIn this paper authors prove a general theorem on generating relations for a certain sequence...
AbstractAsymptotic behaviour of the counting function of Beurling integers is deduced from Chebyshev...
AbstractThe idea to use classical hypergeometric series and, in particular, well-poised hypergeometr...
International audienceLet h(n) denote the largest product of distinct primes whose sum is n. The mai...
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