In this note, we take another look at some arithmetic identities of N.J. Fine associated with divisor functions. We connect these functions with indefinite quadratic forms using a result due to Andrews. As a consequence, arithmetic theorems are extracted
AbstractHere we prove the following modification of a conjecture of Jackson (J. London Math. Soc. (2...
AbstractWe obtain two sided Ω-estimates for the class of convolutions g(x) ≔ Σn ≤ zα(n)naf(xn), wher...
International audienceRecently by the theory of modular forms and the Riemann zeta-function, Lü impr...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
AbstractLet (y)a=(1-y)(1-qy)⋯(1-qa-1y). We prove that the constant term of the Laurent polynomial ∏1...
In this note, we consider some arithmetic identities of Fine associated with divisor functions. We c...
In their recent paper, Farkas and Kra proved five three-term identities for the coefficient of certa...
We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number...
International audienceIn this paper we study the mean square of the error term ∆ * k (Q, x) in a div...
Let $ d_k(n) $ denote the k-th divisor function. In this paper, we give the asymptotic formula of th...
International audienceIn this paper we study several divisor problems related to the Epstein zeta-fu...
AbstractThe generating functions of the divisor functions σk(n) = Σd|ndk are expressed as sums of pr...
AbstractWe give proofs of a list of M. Somos' dissection identities. An eta function identity presen...
AbstractLet Q(n, 1) be the set of even unimodular positive definite integral quadratic forms in n-va...
AbstractIn a recent paper by the authors, a bounded version of Göllnitz's (big) partition theorem wa...
AbstractHere we prove the following modification of a conjecture of Jackson (J. London Math. Soc. (2...
AbstractWe obtain two sided Ω-estimates for the class of convolutions g(x) ≔ Σn ≤ zα(n)naf(xn), wher...
International audienceRecently by the theory of modular forms and the Riemann zeta-function, Lü impr...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
AbstractLet (y)a=(1-y)(1-qy)⋯(1-qa-1y). We prove that the constant term of the Laurent polynomial ∏1...
In this note, we consider some arithmetic identities of Fine associated with divisor functions. We c...
In their recent paper, Farkas and Kra proved five three-term identities for the coefficient of certa...
We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number...
International audienceIn this paper we study the mean square of the error term ∆ * k (Q, x) in a div...
Let $ d_k(n) $ denote the k-th divisor function. In this paper, we give the asymptotic formula of th...
International audienceIn this paper we study several divisor problems related to the Epstein zeta-fu...
AbstractThe generating functions of the divisor functions σk(n) = Σd|ndk are expressed as sums of pr...
AbstractWe give proofs of a list of M. Somos' dissection identities. An eta function identity presen...
AbstractLet Q(n, 1) be the set of even unimodular positive definite integral quadratic forms in n-va...
AbstractIn a recent paper by the authors, a bounded version of Göllnitz's (big) partition theorem wa...
AbstractHere we prove the following modification of a conjecture of Jackson (J. London Math. Soc. (2...
AbstractWe obtain two sided Ω-estimates for the class of convolutions g(x) ≔ Σn ≤ zα(n)naf(xn), wher...
International audienceRecently by the theory of modular forms and the Riemann zeta-function, Lü impr...
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