Found 1,650 Documents (Results 1–100)
A note on transcendental analytic functions with rational coefficients mapping \(\mathbf{Q}\) into itself. (English) Zbl 07927482
An approach to Zaremba’s conjecture throughout Fibonacci sequences. (English) Zbl 07927153
Reviewer: Takao Komatsu (Hangzhou)
Twin Nicomachean \(q\)-identities and conjectures for the associated discriminants, polynomials, and inequalities. (English) Zbl 07924583
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 409-433 (2024).
What are GT-shadows? (English) Zbl 07922368
On non-Zariski density of \((D, S)\)-integral points in forward orbits and the subspace theorem. (English) Zbl 07921101
Algebraic points of any degree on the affine curve \(y^2=3x(x^4+3)\). (English) Zbl 07918833
Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the third NLAGA-BIRS symposium, AIMS-Mbour, Senegal, August 21–27, 2023. Cham: Birkhäuser. Trends Math., 359-366 (2024).
The Collatz conjecture & non-Archimedean spectral theory. I: Arithmetic dynamical systems and non-Archimedean value distribution theory. (English) Zbl 07885389
The areal Mahler measure under a power change of variables. (English) Zbl 07870763
Reviewer: Toufik Zaïmi (Riyadh)
Formulas for \(p\)-adic \(q\)-integrals including falling-rising factorials, combinatorial sums and special numbers. (English) Zbl 1543.11106
On Mahler’s inequality and small integral generators of totally complex number fields. (English) Zbl 07856593
Reviewer: Artūras Dubickas (Vilnius)
Points of bounded height on projective spaces over global function fields via geometry of numbers. (English) Zbl 07841538
Reviewer: Ratko Darda (Basel)
On the Hankel matrices of finite rank and generalized Fibonacci sequences. (English) Zbl 07837712
Reviewer: Uğur Duran (İskenderun)
A threshold for the best two-term underapproximation by Egyptian fractions. (English) Zbl 1543.11036
Triquadratic 3-rational fields. (English) Zbl 07815272
Reviewer: Azizul Hoque (Allahabad)
Hyperbola method on toric varieties. (Méthode de l’hyperbole sur les variétés toriques.) (English. French summary) Zbl 07811890
Reviewer: Pascal Autissier (Bordeaux)
Products of hyperelliptic Jacobians with maximal Galois image. (English) Zbl 07810085
Reviewer: Paweł Borówka (Kraków)
Critical groups of arithmetical structures on star graphs and complete graphs. (English) Zbl 1533.05110
Algebraic points of any degree on the affine curve \(\mathcal{C}:y^2=x^5-243\). (English) Zbl 07798117
Some Betti numbers of the moduli of 1-dimensional sheaves on \(\mathbb{P}^2\). (English) Zbl 1541.14017
Algebraic points on the curve of affine equation \(y^2 = x(x-3)(x-4)(x-6)(x-7)\). (English) Zbl 1538.14005
On the Diophantine equation \(\frac{1}{a}+\frac{1}{b}=\frac{m}{pq}\). (English) Zbl 1538.11120
MSC:
11D68
Evaluations of the areal Mahler measure of multivariable polynomials. (English) Zbl 1534.11126
Reviewer: Toufik Zaïmi (Riyadh)
Corrigendum to: “The Egyptian fraction of the form \(\frac{1}{a}+\frac{1}{b}=\frac{q-1}{pq}\)”. (English) Zbl 1538.11119
MSC:
11D68
Iterates of Quadratics and Monogenicity. arXiv:2406.03629
Preprint, arXiv:2406.03629 [math.NT] (2024).
Shrinking targets and recurrent behaviour for forward compositions of inner functions. arXiv:2405.11866
Preprint, arXiv:2405.11866 [math.DS] (2024).
Mahler’s problem and Turyn polynomials. arXiv:2405.08281
Preprint, arXiv:2405.08281 [math.NT] (2024).
On the generalized Dirichlet beta and Riemann zeta functions and Ramanujan-type formulae for beta and zeta values. arXiv:2405.03294
Preprint, arXiv:2405.03294 [math.CA] (2024).
Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface. arXiv:2404.11489
Preprint, arXiv:2404.11489 [math.NT] (2024).
Points of bounded height on certain subvarieties of toric varieties. arXiv:2403.19397
Preprint, arXiv:2403.19397 [math.NT] (2024).
On solutions of \(\sum_{i=1}^n 1/x_i = 1\) in integers of the form \(2^a k^b\). arXiv:2402.09515
Preprint, arXiv:2402.09515 [math.NT] (2024).
Cantor series expansions of rational numbers. (English) Zbl 07894545
Reviewer: Jaroslav Hančl (Ostrava)
Algebraic points of degree at most 3 on the affine equation curve \(\mathcal{C}_3(11):y^{11}=x^3(x-1)^3\). (Points algébriques de degré au plus 3 sur la courbe d’équation affine \(\mathcal{C}_3(11):y^{11}=x^3(x-1)^3\).) (French. English summary) Zbl 07869702
Algebraic points of degree at most 4 on the affine equation curve \(y^2=x(x-3)(x-4)(x-6)(x-7)\). (Points algébriques de degré au plus 4 sur la courbe d’équation affine \(y^2=x(x-3)(x-4)(x-6)(x-7)\).) (French. English summary) Zbl 07869701
A note on the number of Egyptian fractions. (English) Zbl 07856095
MSC:
11D68
On cardinality of character sums with Beatty sequences associated with composite modules. (English) Zbl 1536.11051
Algebraic points of the family of superelliptic curves of Tomasz Jdrzȩjak for a given degree. (English) Zbl 07835773
Diophantine approximation and primitive prime divisors in random iterations. (English) Zbl 1535.37062
Orders with few rational monogenizations. (English) Zbl 1536.11168
Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar)
Parametric geometry of numbers over a number field and extension of scalars. (Géométrie paramétrique des nombres sur un corps de nombres et extension des scalaires.) (English. French summary) Zbl 07771232
Reviewer: Stefan Kühnlein (Karlsruhe)
Characterization of projective varieties beyond varieties of minimal degree and del Pezzo varieties. (English) Zbl 1537.13028
Mahler measure of polynomial iterates. (English) Zbl 1542.11099
Reviewer: Toufik Zaïmi (Riyadh)
An invariant property of Mahler measure. (English) Zbl 1536.11169
Reviewer: Toufik Zaïmi (Riyadh)
Algebraic points of given degree on the affine curve \(C: y^2 = x^5 + 16\). (English) Zbl 1538.14010
The Egyptian fraction of the form \(\frac{1}{a}+\frac{1}{b}=\frac{q-1}{pq}\). (English) Zbl 1524.11091
Int. J. Math. Comput. Sci. 18, No. 4, 595-597 (2023); corrigendum ibid. 19, No. 1, 237 (2024).
MSC:
11D68
Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order. (English) Zbl 1538.11063
Lower bounds for Mahler-type measures of polynomials. (English) Zbl 1527.11081
Reviewer: Toufik Zaïmi (Riyadh)
\(q\)-deformed rational numbers and the 2-Calabi-Yau category of type \(A_2\). (English) Zbl 1529.18012
Reviewer: Kie Seng Nge (Sepang)
A study of Bishop operators from the point of view of linear dynamics. (English) Zbl 07693142
Reviewer: José Bonet (València)
On the \(p\)-rationality of consecutive quadratic fields. (English) Zbl 1526.11061
Reviewer: Balasubramanian Sury (Bangalore)
Preservation of complete Baireness. (English) Zbl 1519.54010
Reviewer: Jiří Spurný (Praha)
On the Diophantine equation \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{n}\). (English) Zbl 1524.11092
MSC:
11D68
Non-invertible dynamical systems. Volume 3. Analytic endomorphisms of the Riemann sphere. (English) Zbl 1526.37003
De Gruyter Expositions in Mathematics 69, 3. Berlin: De Gruyter (ISBN 978-3-11-076984-5/hbk; 978-3-11-076987-6/ebook; 978-3-11-070679-6/set). xxvii, 925-1334 (2023).
Computing rational powers of monomial ideals. (English) Zbl 1499.13067
Reviewer: Amir Mafi (Sanandaj and Tehran)
Underapproximation by Egyptian fractions. (English) Zbl 1522.11022
Reviewer: Symon Serbenyuk (Kyïv)
Novel Formulas for B-Splines, Bernstein Basis Functions and special numbers: Approach to Derivative and Functional Equations of Generating Functions. arXiv:2311.10124
Preprint, arXiv:2311.10124 [math.CA] (2023).
Rational numbers with odd greedy expansion of fixed length. arXiv:2309.07280
Preprint, arXiv:2309.07280 [math.NT] (2023).
Radical Dynamical Monogenicity. arXiv:2306.11815
Preprint, arXiv:2306.11815 [math.NT] (2023).
Egyptian fractions. (English) Zbl 07828652
Reviewer: Sam Chow (Coventry)
MSC:
11D68
A note on positive integer triples \((a, b, c)\) generated by the equation \(a^{-1} + b^{-1} = c^{-1}\). (English) Zbl 1538.11089
On simultaneous approximation of algebraic numbers. (English) Zbl 1534.11091
Reviewer: Jaroslav Hančl (Ostrava)
Symmetric transrationals: the data type and the algorithmic degree of its equational theory. (English) Zbl 1524.68199
Jansen, Nils (ed.) et al., A journey from process algebra via timed automata to model learning. Essays dedicated to Frits Vaandrager on the occasion of his 60th birthday. Cham: Springer. Lect. Notes Comput. Sci. 13560, 63-80 (2022).
MSC:
68Q65
The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13–19, 2022. (English) Zbl 1506.00066
MSC:
00B05
00B25
30-06
05-06
26Cxx
30Dxx
05Cxx
11Mxx
32Axx
37Fxx
11Y65
15A15
15B05
30B70
30H15
33C45
42C05
82B20
82C20
On \(\mu\)-Sondow numbers. (English) Zbl 1524.11011
Reviewer: Ranjeet Sehmi (Chandigarh)
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