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Lambert series and Liouville's identities [Book]

A. Alaca, Ş. Alaca, E. McAfee, K. S. Williams (2007)

Large and small gaps between consecutive Niven numbers.

De Koninck, Jean-Marie, Doyon, Nicolas (2003)

Journal of Integer Sequences [electronic only]

Le déterminant de Smith et Mansion

Ernest Cesàro (1886)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Linear congruences and a conjecture of Bibak

Chinnakonda Gnanamoorthy Karthick Babu, Ranjan Bera, Balasubramanian Sury (2024)

Czechoslovak Mathematical Journal

We address three questions posed by K. Bibak (2020), and generalize some results of K. Bibak, D. N. Lehmer and K. G. Ramanathan on solutions of linear congruences $\sum_{i = 1}^{k} a_{i} x_{i} \equiv b (mod n)$ . In particular, we obtain explicit expressions for the number of solutions, where $x_{i}$ ’s are squares modulo $n$ . In addition, we obtain expressions for the number of solutions with order restrictions $x_{1} \geq \dots \geq x_{k}$ or with strict order restrictions $x_{1} > \dots > x_{k}$ in some special cases. In these results, the expressions for the number of solutions involve Ramanujan...

We show that the only Lucas numbers which are factoriangular are $1$ and $2$ .

Displaying 1 – 7 of 7

Lambert series and Liouville's identities [Book]

Large and small gaps between consecutive Niven numbers.

Le déterminant de Smith et Mansion

Linear congruences and a conjecture of Bibak

Long gaps between deficient numbers

Lower bounds for the largest prime factor of an odd perfect number which is divisible by a Fermat prime.

Lucas factoriangular numbers

Currently displaying 1 – 7 of 7