Found 241 Documents (Results 1–100)
Uniqueness and reconstruction of the periodic Sturm-Liouville operator with a finite number discontinuities. (Uniqueness and reconstruction of the periodic Strum-Liouville operator with a finite number discontinuities.) (English) Zbl 1532.34032
Reviewer: Özge Akçay (Tunceli)
Transcendence of certain 2-adic numbers. (Russian. English summary) Zbl 1536.11116
The fractional evolution equations associated with the quantum fractional number operator. (English) Zbl 1530.34007
\(\sin\), \(\cos\), \(\exp\) and \(\log\) of Liouville numbers. (English) Zbl 1530.11067
Reviewer: Tanguy Rivoal (Grenoble)
On \(p\)-adic interpolation in two of Mahler’s problems. (English) Zbl 1533.11133
Reviewer: Patrick Erik Bradley (Karlsruhe)
Erdős-Liouville sets. (English) Zbl 07716589
Higher uniformity of bounded multiplicative functions in short intervals on average. (English) Zbl 1521.11059
Reviewer: D. R. Heath-Brown (Oxford)
On polyadic Liouville numbers. (English. Russian original) Zbl 1517.11080
Dokl. Math. 106, Part Suppl. 2, S161-S164 (2022); translation from Chebyshevskiĭ Sb. 22, No. 5(81), 243-251 (2021).
Polyadic Liouville numbers. (English. Russian original) Zbl 1517.11077
Dokl. Math. 106, Part Suppl. 2, S137-S141 (2022); translation from Chebyshevskiĭ Sb. 22, No. 3(79), 245-255 (2021).
Infinite linear independence with constraints on a subset of prime numbers of values of Eulerian-type series with polyadic Liouville parameter. (Russian. English summary) Zbl 1517.11081
Chebyshevskiĭ Sb. 23, No. 1(82), 153-166 (2022); translation in Dokl. Math. 106, Suppl. 2, S154-S160 (2022).
Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities. (English) Zbl 1508.26007
Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems. (English) Zbl 1513.81071
Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions. (English) Zbl 1514.37018
Reviewer: Tomas Persson (Lund)
On a variant of Pillai’s problem with transcendental numbers. (English) Zbl 1513.11122
Acta Math. Hung. 166, No. 2, 650-666 (2022); correction ibid. 167, No. 1, 364 (2022).
Reviewer: Günter Lettl (Graz)
Singular solutions to \(k\)-Hessian equations with fast-growing nonlinearities. (English) Zbl 1494.35024
Dynamics on the number of prime divisors for additive arithmetic semigroups. (English) Zbl 1497.37009
Irrationality and transcendence in number theory. (English) Zbl 1493.11001
Boca Raton, FL: CRC Press (ISBN 978-0-367-62837-6/hbk; 978-0-367-62875-8/pbk; 978-1-003-11120-7/ebook). xvii, 224 p. (2022).
Reviewer: Franz Lemmermeyer (Jagstzell)
On polyadic Liouville numbers. (Russian. English summary) Zbl 1507.11061
Chebyshevskiĭ Sb. 22, No. 5(81), 243-251 (2021); translation in Dokl. Math. 106, Suppl. 2, S161-S164 (2022).
Liouville numbers and lacunary power series in the field of formal Laurent series. (English) Zbl 1499.11239
Reviewer: Petar Popivanov (Sofia)
Polyadic Liouville numbers. (Russian. English summary) Zbl 1483.11144
Chebyshevskiĭ Sb. 22, No. 3(79), 245-255 (2021); translation in Dokl. Math. 106, Suppl. 2, S137-S141 (2022).
MSC:
11J81
Emergence of new category of continued fractions from the Sturm-Liouville problem and the Schrödinger equation. (English) Zbl 1480.11166
Reviewer: Michael M. Pahirya (Mukachevo)
Arithmetic properties of an Euler-type series with polyadic Liouville parameter. (English) Zbl 1473.11142
Arithmetic properties of values at polyadic Liouville points of Euler-type series with polyadic Liouville parameter. (Russian. English summary) Zbl 1471.11212
Chebyshevskiĭ Sb. 22, No. 2(78), 304-312 (2021); translation in Dokl. Math. 106, Suppl. 2, S150-S153 (2022).
Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator. (English) Zbl 1475.35382
Erratic behavior for 1-dimensional random walks in a Liouville quasi-periodic environment. (English) Zbl 1469.60357
Simplifying Weinstein Morse functions. (English) Zbl 1461.57010
Reviewer: Andrew Bucki (Edmond)
Estimating the probability density function of nonlinear stochastic processes by use of asymptotic expansions in the Kubo number. (English) Zbl 1454.60102
Entire solutions and a Liouville theorem for a class of parabolic equations on the real line. (English) Zbl 1448.35304
Dynamical models for Liouville and obstructions to further progress on sign patterns. (English) Zbl 1464.37003
Reviewer: Christoph Aistleitner (Graz)
Pillars of transcendental number theory. (English) Zbl 1455.11002
Cham: Springer (ISBN 978-981-15-4154-4/hbk; 978-981-15-4155-1/ebook). xvii, 174 p. (2020).
Reviewer: Jaroslav Hančl (Ostrava)
On the homogeneous ergodic bilinear averages with Möbius and Liouville weights. (English) Zbl 1439.37006
Ill. J. Math. 64, No. 1, 1-19 (2020); corrigendum ibid. 64, No. 4, 645 (2020).
Reviewer: Armand Azonnahin (São Paulo)
Reprint: On relations between the number \(e\) and Liouville numbers (1930). (Reprint: Über Beziehungen zwischen der Zahl \(e\) und Liouvilleschen Zahlen (1930).) (German. English summary) Zbl 1465.11008
The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures. (English) Zbl 1436.11115
Reviewer: Mehdi Hassani (Zanjan)
Global hypoellipticity for a class of pseudo-differential operators on the torus. (English) Zbl 1418.35088
A simple construction of absolutely disjunctive Liouville numbers. (English) Zbl 1398.68262
Reviewer: Liang Yu (Nanjing)
Fractional number operator and associated fractional diffusion equations. (English) Zbl 1396.35072
Reviewer: Krishnan Balachandran (Coimbatore)
Transcendence of some power series for Liouville number arguments. (English) Zbl 1437.11100
Reviewer: Jaroslav Hančl (Ostrava)
Bohr sets and multiplicative Diophantine approximation. (English) Zbl 1401.11116
Reviewer: Michel Waldschmidt (Paris)
Uncertain fuzzy Ostrowski type inequalities for the generalized \((s,m)\)-preinvex Godunova-Levin functions of second kind. (English) Zbl 1388.26015
A note on transcendental entire functions mapping uncountable many Liouville numbers into the set of Liouville numbers. (English) Zbl 1434.11142
Simulation of some multivariate distributions related to the Dirichlet distribution with application to Monte Carlo simulations. (English) Zbl 1378.60035
Everywhere divergence of the one-sided ergodic Hilbert transform for circle rotations by Liouville numbers. (English) Zbl 1360.37105
An improvement of Liouville’s inequality. (English) Zbl 1407.11085
Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 83-90 (2016).
On the pseudorandomness of the Liouville function of polynomials over a finite field. (English) Zbl 1419.11100
On some transcendental values of the \(p\)-adic gamma function. (English) Zbl 1350.11075
Glöckner, Helge (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). Contemporary Mathematics 665, 159-164 (2016).
Multiplicative functions in short intervals. (English) Zbl 1339.11084
Reviewer: Mehdi Hassani (Zanjan)
Liouville identities with two functions. (English) Zbl 1347.41039
Reviewer: Cristinel Mortici (Târgovişte)
On a problem posed by Mahler. (English) Zbl 1335.11053
Reviewer: Takao Komatsu (Wuhan)
Sign changes of the Liouville function on some irreducible quadratic polynomials. (English) Zbl 1360.11090
KPZ relation does not hold for the level lines and \(\hbox {SLE}_\kappa \) flow lines of the Gaussian free field. (English) Zbl 1327.60166
A computable absolutely normal Liouville number. (English) Zbl 1323.11058
Reviewer: Takao Komatsu (Wuhan)
Liouville numbers, Liouville sets and Liouville fields. (English) Zbl 1320.11065
Reviewer: Jaroslav Hančl (Ostrava)
MSC:
11J82
On transcendental analytic functions mapping an uncountable class of \(U\)-numbers into Liouville numbers. (English) Zbl 1311.11067
On a variant of a question proposed by K. Mahler concerning Liouville numbers. (English) Zbl 1308.11069
Reviewer: Roland Quême (Brax)
Limiting distributions of the classical error terms of prime number theory. (English) Zbl 1302.11071
Reviewer: Mehdi Hassani (Zanjan)
On the complexity of the Liouville numbers in positive characteristic. (English) Zbl 1312.11058
Reviewer: Peter Bundschuh (Köln)
An explicit family of \(U_m\)-numbers. (English) Zbl 1293.11081
MSC:
11J81
Liouville numbers and Schanuel’s conjecture. (English) Zbl 1294.11120
Reviewer: Jan Šustek (Ostrava)
On non-definite Sturm-Liouville problems with two turning points. (English) Zbl 1294.34030
MSC:
34B24
A generic-dimensional property of the invariant measures for circle diffeomorphisms. (English) Zbl 1287.37027
Reviewer: Meirong Zhang (Beijing)
The variational iteration method for fuzzy fractional differential equations with uncertainty. (English) Zbl 1285.34008
Diophantine approximation and special Liouville numbers. (English) Zbl 1284.11098
Reviewer: Roland Quême (Brax)
Integer matrices related to Liouville’s function. (English) Zbl 1274.11012
Reviewer: Leonard Jones (Shippensburg)
Orbit equivalence types of circle diffeomorphisms with a Liouville rotation number. (English) Zbl 1268.37051
On a class of spectral problems on the half-line and their applications to multi-dimensional problems. (English) Zbl 1270.34197
Reviewer: Mihai Pascu (Bucureşti)
Sums of Liouville type over primitive pairs and quadruples and some integer representations. (English) Zbl 1293.11006
Diophantine approximation. (Finnish) Zbl 1281.11072
Reviewer: Pentti Haukkanen (Tampere)
Arithmetic sums of Liouville type over relatively prime pairs. (English) Zbl 1272.11010
Reviewer: József Sándor (Cluj-Napoca)
On the fractional Ostrowski inequality with uncertainty. (English) Zbl 1247.26046
J. Math. Anal. Appl. 395, No. 1, 191-201 (2012); retraction notice ibid. 402, No. 1, 404 (2013).
Dense properties of the space of circle diffeomorphisms with a Liouville rotation number. (English) Zbl 1247.37036
Reviewer: Krzysztof Ciepliński (Kraków)
Derivatives of rotation number of one parameter families of circle diffeomorphisms. (English) Zbl 1244.37026
Reviewer: Krzysztof Ciepliński (Kraków)
Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane. (English) Zbl 1246.34080
Reviewer: Yakov Yakubov (Tel-Aviv)
On the global \(C^\infty\) and Gevrey hypoellipticity on the torus of some classes of degenerate elliptic operators. (English) Zbl 1248.35053
Euler’s pentagonal number theorem implies the Jacobi triple product identity. (English) Zbl 1234.05041
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