## Notes on Number Theory and Discrete Mathematics

 Short Title: Notes Number Theory Discrete Math. Publisher: “Marin Drinov” Academic Publishing, Sofia ISSN: 1310-5132; 2367-8275/e Online: http://nntdm.net/journal-contents/ Comments: No longer indexed; This journal is available open access.
 Documents Indexed: 365 Publications (1995–2017)
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### Latest Issues

 23, No. 4 (2017) 23, No. 3 (2017) 23, No. 2 (2017) 23, No. 1 (2017) 22, No. 4 (2016) 22, No. 3 (2016) 22, No. 2 (2016) 22, No. 1 (2016) 21, No. 4 (2015) 21, No. 3 (2015) 21, No. 2 (2015) 21, No. 1 (2015) 20, No. 5 (2014) 20, No. 4 (2014) 20, No. 3 (2014) 20, No. 2 (2014) 20, No. 1 (2014) 19, No. 4 (2013) 19, No. 3 (2013) 19, No. 2 (2013) 19, No. 1 (2013) 18, No. 4 (2012) 18, No. 3 (2012) 18, No. 2 (2012) 18, No. 1 (2012) 17, No. 4 (2011) 17, No. 3 (2011) 17, No. 2 (2011) 17, No. 1 (2011) 16, No. 4 (2010) 16, No. 3 (2010) 16, No. 2 (2010) 16, No. 1 (2010) 3, No. 4 (1997) 3, No. 3 (1997) 3, No. 2 (1997) 3, No. 1 (1997) 1, No. 3 (1995) 1, No. 2 (1995) 1, No. 1 (1995)
all top 5

all top 5

### Fields

 304 Number theory (11-XX) 51 Combinatorics (05-XX) 21 Real functions (26-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 6 Group theory and generalizations (20-XX) 6 Special functions (33-XX) 4 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

68 Publications have been cited 125 times in 118 Documents Cited by Year
Some properties of unitary addition Cayley graphs. Zbl 1251.05078
Sinha, Deepa; Garg, Pravin; Singh, Anjali
2011
Sharp Cusa-Huygens and related inequalities. Zbl 1316.26020
Sándor, József
2013
On two new means of two variables. Zbl 1321.26062
Sándor, József
2014
Right circulant matrices with ratio of the elements of Fibonacci and geometric sequence. Zbl 1373.15044
Bueno, Aldous Cesar F.
2016
Maximal trees with log-concave independence polynomials. Zbl 1367.05034
Mandrescu, Eugen; Spivak, Alexander
2016
On new refinements of Kober’s and Jordan’s trigonometric inequalities. Zbl 1316.26021
Sándor, József
2013
Some properties of the bi-periodic Horadam sequences. Zbl 1398.11044
Tan, Elif
2017
Solutions with infinite support bases of a functional equation arising from multiplication of quantum integers. Zbl 1342.11041
Nguyen, Lan
2014
Identities involving $$q$$-Genocchi numbers and polynomials. Zbl 1331.05011
Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan; He, Yuan
2014
On the density of ranges of generalized divisor functions. Zbl 1370.11004
Defant, Colin
2015
On the inequalities for beta function. Zbl 1350.33027
Bhayo, Barkat Ali; Sándor, József
2015
A class of digit extraction BBP-type formulas in general binary bases. Zbl 1267.11130
Adegoke, Kunle; Lafont, Jaume Oliver; Layeni, Olawanle
2011
On some analogues of the Bourque-Ligh conjecture on LCM matrices. Zbl 1245.11036
Haukkanen, Pentti; Sillanpää, Juha
1997
Note on “extraordinary primes”. Zbl 0869.11007
1995
Infinite arctangent sums involving Fibonacci and Lucas numbers. Zbl 1397.11025
2015
On two new means of two variables. II. Zbl 1326.26056
Sándor, József; Bhayo, Barkat Ali
2014
Fibonacci primes of special forms. Zbl 1342.11026
Savin, Diana
2014
On a recurrence related to 321 – avoiding permutations. Zbl 1344.11017
Mansour, Toufik; Shattuck, Mark
2014
Quotients of primes in arithmetic progressions. Zbl 1270.11003
Micholson, Ace
2012
Conductors for sets of large integer squares. Zbl 1281.11025
Dutch, Ken; Rickett, Christy
2012
A note on prime zeta function and Riemann zeta function. Zbl 1386.11018
2016
A note on the modified $$q$$-Dedekind sums. Zbl 1310.11048
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet
2013
Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials. Zbl 1322.11014
Asci, Mustafa; Gurel, Esref
2013
On generalized multiplicative perfect numbers. Zbl 1328.11007
Das, Bhabesh; Saikia, Helen K.
2013
On Diophantine triples and quadruples. Zbl 1366.11059
Zhang, Yifan; Grossman, G.
2015
The extension of some $$D(4)$$-pairs. Zbl 1386.11056
Filipin, Alan
2017
On a limit involving the product of prime numbers. Zbl 1259.11079
Sándor, József; Verroken, Antoine
2011
Note on the matrix Fermat’s equation. Zbl 1258.15003
Grytczuk, Aleksander; Kurzydło, Izabela
2011
Permutation polynomials and elliptic curves. Zbl 1255.11033
2011
Schur convexity of Gnan mean for two variables. Zbl 1269.26011
Lokesha, V.; Nagaraja, K. M.; Naveen, Kumar B.; Wu, Y.-D.
2011
On the Diophantine equation $$y^n=f(x)^n+g(x)$$. Zbl 1266.11061
Srikanth, R.; Subburam, S.
2011
Some properties and applications of a new arithmetic function in analytic number theory. Zbl 1262.11004
Muthumalai, Ramesh Kumar
2011
Congruent numbers via the Pell equation and its analogous counterpart. Zbl 1377.11038
2015
A basic logarithmic inequality and the logarithmic mean. Zbl 1354.26048
Sándor, József
2015
Evaluationally relatively prime polynomials. Zbl 1377.11036
Knox, Michelle L.; McDonald, Terry; Mitchell, Patrick
2015
A note on the greatest prime factor. Zbl 1327.11005
Jakimczuk, Rafael
2014
Note on $$\varphi$$, $$\psi$$ and $$\sigma$$-functions. VII. Zbl 1342.11007
Atanassov, Krassimir T.
2014
A note on certain inequalities for bivariate means. Zbl 1334.26061
Sándor, József
2014
A novel approach to the discovery of ternary BBP-type formulas for polylogarithm constants. Zbl 1259.11113
2011
On the solutions of the equation $$x^2+19^m=y^n$$. Zbl 1281.11028
Peker, Bilge; Çenberci, Selin
2012
A new proof of Lucas’ theorem. Zbl 1309.11003
Laugier, Alexandre; Saikia, Manjil P.
2012
On the polynomial and maximal solutions to a functional equation arising from multiplication of quantum integers. Zbl 1308.11007
Nguyen, Lan
2012
On certain bounds and limits for prime numbers. Zbl 1286.11013
Sándor, József
2012
Double inequalities on means via quadrature formula. Zbl 1276.26049
Nagaraja, K. M.; Reddy, P. Siva Kota
2012
On the metric dimension of the total graph of a graph. Zbl 1365.05252
Sooryanarayana, B.; Shreedhar, K.; Narahari, N.
2016
Obituary: Alwyn Horadam: the man and his mathematics. Zbl 1386.01016
Shannon, A. G.
2016
On integers that are uniquely representable by modified arithmetic progressions. Zbl 1386.11055
Chimni, Sarthak; Sankar, Soumya; Tripathi, Amitabha
2016
Embedding the unitary divisor meet semilattice in a lattice. Zbl 1400.06002
Haukkanen, Pentti
2016
On transitive polynomials modulo integers. Zbl 1386.11054
2016
Some golden ratio generalized Fibonacci and Lucas sequences. Zbl 1376.11012
Leyendekkers, J. V.; Shannon, A. G.
2016
Calculating terms of associated polynomials of Perrin and Cordonnier numbers. Zbl 1328.11014
2014
Arithmetical sequences for the exponents of composite Mersenne numbers. Zbl 1328.11030
Davis, Simon
2014
New modular relations for the Rogers-Ramanujan type functions of order fifteen. Zbl 1325.33013
2014
Pulsating Fibonacci sequence. Zbl 1328.11017
Atanassov, Krassimir T.
2013
A characterization of canonically consistent total signed graphs. Zbl 1314.05092
Sinha, Deepa; Garg, Pravin
2013
Generalization of a few results in integer partitions. Zbl 1308.11090
Dastidar, Manosij Ghosh; Sen Gupta, Sourav
2013
A generalized recurrence formula for Stirling numbers and related sequences. Zbl 1346.05015
Shattuck, Mark
2015
Improving Riemann prime counting. Zbl 1351.11058
Planat, Michel; Solé, Patrick
2015
On 2-powerfully perfect numbers in three quadratic rings. Zbl 1386.11130
Defant, Colin
2017
The $$q$$-Lah numbers and the $$n$$-th $$q$$-derivative of $$\exp_q(\frac 1x)$$. Zbl 1386.11035
Katriel, Jacob
2017
Fast converging series for zeta numbers in terms of polynomial representations of Bernoulli numbers. Zbl 1386.11038
Braun, J.; Romberger, D.; Bentz, H. J.
2017
Extensions of D’Aurizio’s trigonometric inequality. Zbl 1387.26046
Sándor, József
2017
On the Pell $$p$$-circulant sequences. Zbl 1386.11027
Aküzüm, Yeşim; Deveci, Ömür; Shannon, A. G.
2017
Refinements of the Mitrinović-Adamović inequality, with application. Zbl 1387.26031
Sándor, József
2017
Some enumerations of non-trivial composition of the differential operations and the directional derivative. Zbl 1395.58001
Jovović, Ivana; Malešević, Branko
2017
Some combinatorial formulas for the partial $$r$$-Bell polynomials. Zbl 1386.05014
Shattuck, Mark
2017
On the extensibility of the $$D(4)$$-triple $$\{k-2,k+2,4k\}$$ over Gaussian integers. Zbl 1397.11069
Bayad, Abdelmejid; Dossavi-Yovo, Appolinaire; Filipin, Alan; Togbé, Alain
2017
A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns. Zbl 1387.05001
Arıkan, Talha; Kılıç, Emrah; Mansour, Toufik
2017
Some properties of the bi-periodic Horadam sequences. Zbl 1398.11044
Tan, Elif
2017
The extension of some $$D(4)$$-pairs. Zbl 1386.11056
Filipin, Alan
2017
On 2-powerfully perfect numbers in three quadratic rings. Zbl 1386.11130
Defant, Colin
2017
The $$q$$-Lah numbers and the $$n$$-th $$q$$-derivative of $$\exp_q(\frac 1x)$$. Zbl 1386.11035
Katriel, Jacob
2017
Fast converging series for zeta numbers in terms of polynomial representations of Bernoulli numbers. Zbl 1386.11038
Braun, J.; Romberger, D.; Bentz, H. J.
2017
Extensions of D’Aurizio’s trigonometric inequality. Zbl 1387.26046
Sándor, József
2017
On the Pell $$p$$-circulant sequences. Zbl 1386.11027
Aküzüm, Yeşim; Deveci, Ömür; Shannon, A. G.
2017
Refinements of the Mitrinović-Adamović inequality, with application. Zbl 1387.26031
Sándor, József
2017
Some enumerations of non-trivial composition of the differential operations and the directional derivative. Zbl 1395.58001
Jovović, Ivana; Malešević, Branko
2017
Some combinatorial formulas for the partial $$r$$-Bell polynomials. Zbl 1386.05014
Shattuck, Mark
2017
On the extensibility of the $$D(4)$$-triple $$\{k-2,k+2,4k\}$$ over Gaussian integers. Zbl 1397.11069
Bayad, Abdelmejid; Dossavi-Yovo, Appolinaire; Filipin, Alan; Togbé, Alain
2017
A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns. Zbl 1387.05001
Arıkan, Talha; Kılıç, Emrah; Mansour, Toufik
2017
Right circulant matrices with ratio of the elements of Fibonacci and geometric sequence. Zbl 1373.15044
Bueno, Aldous Cesar F.
2016
Maximal trees with log-concave independence polynomials. Zbl 1367.05034
Mandrescu, Eugen; Spivak, Alexander
2016
A note on prime zeta function and Riemann zeta function. Zbl 1386.11018
2016
On the metric dimension of the total graph of a graph. Zbl 1365.05252
Sooryanarayana, B.; Shreedhar, K.; Narahari, N.
2016
Obituary: Alwyn Horadam: the man and his mathematics. Zbl 1386.01016
Shannon, A. G.
2016
On integers that are uniquely representable by modified arithmetic progressions. Zbl 1386.11055
Chimni, Sarthak; Sankar, Soumya; Tripathi, Amitabha
2016
Embedding the unitary divisor meet semilattice in a lattice. Zbl 1400.06002
Haukkanen, Pentti
2016
On transitive polynomials modulo integers. Zbl 1386.11054
2016
Some golden ratio generalized Fibonacci and Lucas sequences. Zbl 1376.11012
Leyendekkers, J. V.; Shannon, A. G.
2016
On the density of ranges of generalized divisor functions. Zbl 1370.11004
Defant, Colin
2015
On the inequalities for beta function. Zbl 1350.33027
Bhayo, Barkat Ali; Sándor, József
2015
Infinite arctangent sums involving Fibonacci and Lucas numbers. Zbl 1397.11025
2015
On Diophantine triples and quadruples. Zbl 1366.11059
Zhang, Yifan; Grossman, G.
2015
Congruent numbers via the Pell equation and its analogous counterpart. Zbl 1377.11038
2015
A basic logarithmic inequality and the logarithmic mean. Zbl 1354.26048
Sándor, József
2015
Evaluationally relatively prime polynomials. Zbl 1377.11036
Knox, Michelle L.; McDonald, Terry; Mitchell, Patrick
2015
A generalized recurrence formula for Stirling numbers and related sequences. Zbl 1346.05015
Shattuck, Mark
2015
Improving Riemann prime counting. Zbl 1351.11058
Planat, Michel; Solé, Patrick
2015
On two new means of two variables. Zbl 1321.26062
Sándor, József
2014
Solutions with infinite support bases of a functional equation arising from multiplication of quantum integers. Zbl 1342.11041
Nguyen, Lan
2014
Identities involving $$q$$-Genocchi numbers and polynomials. Zbl 1331.05011
Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan; He, Yuan
2014
On two new means of two variables. II. Zbl 1326.26056
Sándor, József; Bhayo, Barkat Ali
2014
Fibonacci primes of special forms. Zbl 1342.11026
Savin, Diana
2014
On a recurrence related to 321 – avoiding permutations. Zbl 1344.11017
Mansour, Toufik; Shattuck, Mark
2014
A note on the greatest prime factor. Zbl 1327.11005
Jakimczuk, Rafael
2014
Note on $$\varphi$$, $$\psi$$ and $$\sigma$$-functions. VII. Zbl 1342.11007
Atanassov, Krassimir T.
2014
A note on certain inequalities for bivariate means. Zbl 1334.26061
Sándor, József
2014
Calculating terms of associated polynomials of Perrin and Cordonnier numbers. Zbl 1328.11014
2014
Arithmetical sequences for the exponents of composite Mersenne numbers. Zbl 1328.11030
Davis, Simon
2014
New modular relations for the Rogers-Ramanujan type functions of order fifteen. Zbl 1325.33013
2014
Sharp Cusa-Huygens and related inequalities. Zbl 1316.26020
Sándor, József
2013
On new refinements of Kober’s and Jordan’s trigonometric inequalities. Zbl 1316.26021
Sándor, József
2013
A note on the modified $$q$$-Dedekind sums. Zbl 1310.11048
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet
2013
Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials. Zbl 1322.11014
Asci, Mustafa; Gurel, Esref
2013
On generalized multiplicative perfect numbers. Zbl 1328.11007
Das, Bhabesh; Saikia, Helen K.
2013
Pulsating Fibonacci sequence. Zbl 1328.11017
Atanassov, Krassimir T.
2013
A characterization of canonically consistent total signed graphs. Zbl 1314.05092
Sinha, Deepa; Garg, Pravin
2013
Generalization of a few results in integer partitions. Zbl 1308.11090
Dastidar, Manosij Ghosh; Sen Gupta, Sourav
2013
Quotients of primes in arithmetic progressions. Zbl 1270.11003
Micholson, Ace
2012
Conductors for sets of large integer squares. Zbl 1281.11025
Dutch, Ken; Rickett, Christy
2012
On the solutions of the equation $$x^2+19^m=y^n$$. Zbl 1281.11028
Peker, Bilge; Çenberci, Selin
2012
A new proof of Lucas’ theorem. Zbl 1309.11003
Laugier, Alexandre; Saikia, Manjil P.
2012
On the polynomial and maximal solutions to a functional equation arising from multiplication of quantum integers. Zbl 1308.11007
Nguyen, Lan
2012
On certain bounds and limits for prime numbers. Zbl 1286.11013
Sándor, József
2012
Double inequalities on means via quadrature formula. Zbl 1276.26049
Nagaraja, K. M.; Reddy, P. Siva Kota
2012
Some properties of unitary addition Cayley graphs. Zbl 1251.05078
Sinha, Deepa; Garg, Pravin; Singh, Anjali
2011
A class of digit extraction BBP-type formulas in general binary bases. Zbl 1267.11130
Adegoke, Kunle; Lafont, Jaume Oliver; Layeni, Olawanle
2011
On a limit involving the product of prime numbers. Zbl 1259.11079
Sándor, József; Verroken, Antoine
2011
Note on the matrix Fermat’s equation. Zbl 1258.15003
Grytczuk, Aleksander; Kurzydło, Izabela
2011
Permutation polynomials and elliptic curves. Zbl 1255.11033
2011
Schur convexity of Gnan mean for two variables. Zbl 1269.26011
Lokesha, V.; Nagaraja, K. M.; Naveen, Kumar B.; Wu, Y.-D.
2011
On the Diophantine equation $$y^n=f(x)^n+g(x)$$. Zbl 1266.11061
Srikanth, R.; Subburam, S.
2011
Some properties and applications of a new arithmetic function in analytic number theory. Zbl 1262.11004
Muthumalai, Ramesh Kumar
2011
A novel approach to the discovery of ternary BBP-type formulas for polylogarithm constants. Zbl 1259.11113
2011
On some analogues of the Bourque-Ligh conjecture on LCM matrices. Zbl 1245.11036
Haukkanen, Pentti; Sillanpää, Juha
1997
Note on “extraordinary primes”. Zbl 0869.11007
1995
all top 5