Search Results for: 11N

One more disproof for the Legendre’s conjecture regarding the prime counting function 𝜋(𝑥)

Reza Farhadian and Rafael Jakimczuk Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 84—91 DOI: 10.7546/nntdm.2018.24.3.84-91 Download full paper: PDF, 187 Kb Details Authors and affiliations Reza Farhadian Department … Continue reading

Comments Off on One more disproof for the Legendre’s conjecture regarding the prime counting function 𝜋(𝑥)

An inequality involving a ratio of zeta functions

József Sándor Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 3, Pages 92—94 DOI: 10.7546/nntdm.2018.24.3.92-94 Download full paper: PDF, 133 Kb Details Authors and affiliations József Sándor Department of Mathematics, Babeș-Bolyai … Continue reading

Comments Off on An inequality involving a ratio of zeta functions

Quotients of primes in an algebraic number ring

Brian D. Sittinger Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 55–62 DOI: 10.7546/nntdm.2018.24.2.55-62 Download full paper: PDF, 191 Kb Details Authors and affiliations Brian D. Sittinger Department of … Continue reading

Comments Off on Quotients of primes in an algebraic number ring

On the average number of divisors of the sum of digits of squares

Teerapat Srichan Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 40—46 DOI: 10.7546/nntdm.2018.24.2.40-46 Download full paper: PDF, 136 Kb Details Authors and affiliations Teerapat Srichan Department of Mathematics, Faculty … Continue reading

Comments Off on On the average number of divisors of the sum of digits of squares

The ternary Goldbach problem with prime numbers of a mixed type

S. I. Dimitrov Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 24, 2018, Number 2, Pages 6—20 DOI: 10.7546/nntdm.2018.24.2.6-20 Download full paper: PDF, 136 Kb Details Authors and affiliations S. I. Dimitrov Faculty of … Continue reading

Comments Off on The ternary Goldbach problem with prime numbers of a mixed type

Prime triples p1, p2, p3 in arithmetic progressions such that p1 = x2 + y2 + 1, p3 = [nc]

S. I. Dimitrov Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 4, Pages 22—33 Download full paper: PDF, 225 Kb Details Authors and affiliations S. I. Dimitrov Faculty of Applied Mathematics … Continue reading

On 2-powerfully perfect numbers in three quadratic rings

Colin Defant Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 2, Pages 1—11 Download full paper: PDF, 208 Kb Details Authors and affiliations Colin Defant Department of Mathematics, University of Florida … Continue reading

On some cancellation algorithms

Andrzej Tomski and Maciej Zakarczemny Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 23, 2017, Number 1, Pages 101—114 Download full paper: PDF, 224 Kb Details Authors and affiliations Andrzej Tomski Institute of Mathematics, … Continue reading

On an analogue of Buchstab’s identity

Debika Banerjee and Makoto Minamide Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 22, 2016, Number 1, Pages 8—17 Download full paper: PDF, 206 Kb Details Authors and affiliations Debika Banerjee Harish-Chandra Research Institute … Continue reading

Prime values of meromorphic functions and irreducible polynomials

Simon Davis Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132 Volume 21, 2015, Number 4, Pages 36—39 Download full paper: PDF, 150 Kb Details Authors and affiliations Simon Davis Research Foundation of Southern California 8837 Villa La Jolla Drive … Continue reading