## Found 839 Documents (Results 1–100)

100
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### Powerfree sums of proper divisors. (English)Zbl 07523208

MSC:  11N37 11A25 11N64
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### Consecutive square-free numbers in Piatetski-Shapiro sequences. (English)Zbl 07505694

MSC:  11N64 11N37
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### An almost sure upper bound for random multiplicative functions on integers with a large prime factor. (English)Zbl 1483.11167

MSC:  11K65 11N64
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### Joint distribution in residue classes of polynomial-like multiplicative functions. (English)Zbl 07496899

MSC:  11A25 11N36 11N64
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### On $$r$$-free integers in Beatty sequences. (English)Zbl 07493131

MSC:  11N37 11N64
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### 2-adic stratification of totients. (English)Zbl 07490326

MSC:  11A25 11N64
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### A lower bound for the variance of generalized divisor functions in arithmetic progressions. (English)Zbl 07472666

MSC:  11N64 11B25
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### Reconstruction of a dynamically distorted signal based on the theory of optimal dynamic measurements. (English. Russian original)Zbl 07485015

Autom. Remote Control 82, No. 12, 2143-2154 (2021); translation from Avtom. Telemekh. 2021, No. 12, 125-137 (2021).
MSC:  94A12
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### Arithmetical functions commutable with sums of squares. II. (English)Zbl 07452914

MSC:  11K65 11N37 11N64
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### On a conjecture regarding multiplicative functions. (English)Zbl 07444245

MSC:  11K65 11N37 11N64
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### A characterization of functions using Lagrange’s four-square theorem. (English)Zbl 07444244

MSC:  11K65 11N37 11N64
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### Differences between totients. (English)Zbl 1481.11007

MSC:  11A25 11N64 11D85
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### Multiplicative functions that are close to their mean. (English)Zbl 07412266

MSC:  11N37 11N64
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### Solving linear equations in a vector space over a finite field. (English)Zbl 07404835

MSC:  11B75 11N64 11D04
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### Orthonormal systems in spaces of number theoretical functions. (English)Zbl 1470.11213

MSC:  11K65 11N37 11N64
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### Almost-additive and almost-multiplicative functions with regularity properties. (English)Zbl 07393059

MSC:  11N37 11N64
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### A generalization of regular convolutions and Ramanujan sums. (English)Zbl 1472.11032

MSC:  11A25 11N64
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### New equiaffine characterizations of the ellipsoids related to an equiaffine integral inequality on hyperovaloids. (English)Zbl 1475.53020

MSC:  53A15 53C20 53C24
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### Factorization theorems for relatively prime divisor sums, GCD sums and generalized Ramanujan sums. (English)Zbl 1472.11038

MSC:  11A25 05A17 11N64
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### On the variations of completely multiplicative functions at consecutive arguments. (English)Zbl 07334618

MSC:  11N64 11K65
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### Zeros of Dirichlet polynomials. (English)Zbl 1469.11362

MSC:  11M41 11M26 11N64
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### A tale of two omegas. (English)Zbl 1469.11311

Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 343-364 (2020).
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### A footnote to a theorem of Halász. (English)Zbl 1465.11188

MSC:  11M41 11N64
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### The maximal size of the $$k$$-fold divisor function for very large $$k$$. (English)Zbl 1465.11193

MSC:  11N56 11N37 11N64
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### On $$q$$-multiplicative functions with special properties. (English)Zbl 1474.11014

MSC:  11A25 11N25 11N64
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### On some uniformly distributed functions on the set of shifted primes. (English)Zbl 1474.11158

MSC:  11N36 11N37 11N64
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### A remark on uniformly distributed functions. (English)Zbl 1474.11157

MSC:  11N36 11N37 11N64
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### Characterising some triplets of completely multiplicative functions. (English)Zbl 1474.11007

MSC:  11A25 11N25 11N64
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### An improved inequality of Rosser and Schoenfeld and its application. (English)Zbl 1470.11235

MSC:  11N05 11N64
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MSC:  11N64
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### Notes on the distribution of roots modulo a prime of a polynomial. III. (English)Zbl 1475.11178

MSC:  11N64 11C08
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MSC:  11N64
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### The structure of multiplicative functions with small partial sums. (English)Zbl 1444.11200

MSC:  11N56 11N64
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### On the first occurrences of gaps between primes in a residue class. (English)Zbl 1444.11191

MSC:  11N05 11N56 11N64
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### Phi, primorials, and Poisson. (English)Zbl 1453.11123

MSC:  11N37 11N36 11N64
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### Truncated convolution of the Möbius function and multiplicative energy of an integer $$n$$. (English)Zbl 1450.11099

MSC:  11N37 11N56 11N64
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### Dynamical models for Liouville and obstructions to further progress on sign patterns. (English)Zbl 1464.37003

MSC:  37A44 11N37 11N64
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### A note on multiplicative automatic sequences. II. (English)Zbl 1457.11023

MSC:  11B85 11N64 68R15
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### On multiplicative automatic sequences. (English)Zbl 1472.11088

MSC:  11B85 11N64 68R15
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### On the number of distinct exponents in the prime factorization of an integer. (English)Zbl 1439.11245

MSC:  11N25 11N37 11N64
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### On the orbits of multiplicative pairs. (English)Zbl 1447.11103

MSC:  11N37 11N64
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### On ordered factorizations into distinct parts. (English)Zbl 1436.11114

MSC:  11N37 11N64
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### A generalization of the Hardy-Ramanujan inequality and applications. (English)Zbl 1468.11202

MSC:  11N37 11N64
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### Generalised divisor sums of binary forms over number fields. (English)Zbl 07146737

MSC:  11N37 11N56 11N64
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### Counting integers with a smooth totient. (English)Zbl 1475.11177

MSC:  11N60 11N25 11N64
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### Joint distribution in residue classes of the base-$$q$$ and Ostrowski digital sums. (English)Zbl 1477.11015

MSC:  11A63 11N64 11N69
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### Notes on the distribution of roots modulo a prime of a polynomial. II. (English)Zbl 1469.11390

MSC:  11N64 11C08
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MSC:  11N64
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### A note on multiplicative automatic sequences. (Une note sur les séquences multiplicatives automatiques.) (English. French summary)Zbl 1458.11054

MSC:  11B85 11N64
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### Random characters under the $$L$$-measure. I: Dirichlet characters. (English)Zbl 1454.60010

MSC:  60B15 11N64 60F05
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### Consecutive integers with close kernels. (English)Zbl 1478.11008

MSC:  11A25 11N64
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### On additive arithmetical functions with values in topological groups. IV. (English)Zbl 1449.11099

MSC:  11N64 11A25
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### On some consequences of recently proved conjectures. (English)Zbl 1449.11098

MSC:  11N37 11N64
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### Value patterns of multiplicative functions and related sequences. (English)Zbl 1433.11112

MSC:  11N64 11B05 37A44
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### On the pairs of completely multiplicative functions satisfying some relation. (English)Zbl 1438.11110

MSC:  11K65 11N37 11N64
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### Has Carmichael’s totient conjecture been proven? No, no, it has not. (English)Zbl 1416.11139

MSC:  11N37 11N64 00A09
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### On additive arithmetical functions with values in topological groups. III. (English)Zbl 1424.11144

MSC:  11N64 11A25 11N25
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### On gaps in the closures of images of divisor functions. (English)Zbl 1460.11004

MSC:  11A25 11N64
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### On mean values of mollifiers and $$L$$-functions associated to primitive cusp forms. (English)Zbl 1469.11308

MSC:  11M26 11M06 11N64
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### The reciprocal sum of the amicable numbers. (English)Zbl 1429.11009

MSC:  11A25 11N25 11N64
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### How often is Euler’s totient a perfect power? (English)Zbl 1411.11092

MSC:  11N64 11N25 11N37
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MSC:  11N64
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### Ranges of unitary divisor functions. (English)Zbl 1439.11251

MSC:  11A25 11N64
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### Approximation theory and algorithms for data analysis. (English)Zbl 1411.41001

Texts in Applied Mathematics 68. Cham: Springer (ISBN 978-3-030-05227-0/hbk; 978-3-030-05228-7/ebook). x, 358 p. (2018).
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### The first function and its iterates. (English)Zbl 1431.11010

Butler, Steve (ed.) et al., Connections in discrete mathematics. A celebration of the work of Ron Graham. Cambridge: Cambridge University Press, 125-138 (2018).
MSC:  11A25 11N37 11N64
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### On the sum of the reciprocals of the middle prime factor counting multiplicity. (English)Zbl 1413.11111

MSC:  11N37 11N64

### A more intuitive proof of a sharp version of Halász’s theorem. (English)Zbl 1456.11182

MSC:  11N37 11N56 11N64
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### Divisor-sum fibers. (English)Zbl 1410.11115

MSC:  11N37 11N64
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