## Found 5,021 Documents (Results 1–100)

100
MathJax

### Mersenne prime factor and sum of binomial coefficients. (English)Zbl 07567427

MSC:  11A25 05A10
Full Text:

### A tale of two cyclicities: counting in finite cyclic groups and finite fields. (English)Zbl 07566945

MSC:  11A25 12E20
Full Text:

### On the weighted average number of subgroups of $$\mathbb{Z}_m\times \mathbb{Z}_n$$ with $$mn\leq x$$. (English)Zbl 07566175

MSC:  11A25 11N37 11Y60
Full Text:

### The arithmetic partial derivative. (English)Zbl 07566019

MSC:  11A25 11A41 11Y55
Full Text:

### On the Volterra integral equation for the remainder term in the asymptotic formula on the associated Euler totient function. (English)Zbl 07565109

MSC:  45D05 11A25 11N37
Full Text:

Full Text:

### Inequalities involving $$\pi (x)$$. (English)Zbl 07560104

MSC:  11A25 11A41
Full Text:

Full Text:

MSC:  11A25
Full Text:

Full Text:

### On the reciprocal sum of lcm of $$k$$-tuples. (English)Zbl 07556286

MSC:  11N37 11A25
Full Text:

MSC:  11A25
Full Text:

### Multiplicative functions $$K$$-additive on generalized pentagonal numbers. (English)Zbl 07556150

MSC:  11A25 11N64
Full Text:

### Coprime matchings. (English)Zbl 07556144

MSC:  11B75 11A25
Full Text:

### On the numbers $$n$$ relatively prime to $$\Omega (n)-\omega(n)$$. (English)Zbl 07554391

MSC:  11N37 11A25 11A05
Full Text:

### New properties of an arithmetic function. (English)Zbl 07552133

MSC:  11A25 11A05
Full Text:

### Inequalities for Taylor series involving the divisor function. (English)Zbl 07547207

MSC:  11A25 26D15 33D05
Full Text:

### Constant components of the Mertens function and its connections with Tschebyschef’s theory for counting prime numbers. (English)Zbl 07543741

MSC:  11A25 11N05
Full Text:

Full Text:

### Congruences for arithmetic functions. (English)Zbl 07543028

MSC:  11A25 11A07 11P83
Full Text:

### Divisibility among power matrices associated with classes of arithmetic functions. (English)Zbl 07541598

MSC:  11C20 15B36 11A25
Full Text:

### On Ramanujan-type congruences for multiplicative functions. (English)Zbl 07541288

MSC:  11A25 11P83
Full Text:

### Fermat’s little theorem and Euler’s theorem in a class of rings. (English)Zbl 07534138

MSC:  11T30 11A25 13A99
Full Text:

### Additive arithmetic functions meet the inclusion-exclusion principle: asymptotic formulas concerning the GCD and LCM of several integers. (English)Zbl 07532788

MSC:  11N37 11A25 11A07
Full Text:

### On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions. (English)Zbl 07528826

MSC:  11A25 11N37 45D05
Full Text:

Full Text:

### On the spherical slice transform. (English)Zbl 07527313

MSC:  44A12 47G10
Full Text:

### Menon-type identities concerning subsets of the set $$\{1, 2,\ldots, n\}$$. (English)Zbl 07523961

MSC:  11A25 11A05 11B75
Full Text:

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

MSC:  11N37 11A25 11N64
Full Text:

### Arithmetic convolution sums derived from eta quotients related to divisors of 6. (English)Zbl 07517560

MSC:  11A07 11A25
Full Text:

### The powers of certain number-theoretic matrices. (English)Zbl 07512613

MSC:  11C20 11A25 15B36
Full Text:

Full Text:

Full Text:

### A proof of Merca’s conjectures on sums of odd divisor functions. (English)Zbl 07505691

MSC:  11A25 11P81
Full Text:

Full Text:

### Explicit averages of square-free supported functions: to the edge of the convolution method. (English)Zbl 07499462

MSC:  11N37 11A25 11A41
Full Text:

### Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski. 2. (English)Zbl 07496904

MSC:  11A25 11N36 11N37
Full Text:

### Joint distribution in residue classes of polynomial-like multiplicative functions. (English)Zbl 07496899

MSC:  11A25 11N36 11N64
Full Text:

### Number of prime factors with a given multiplicity. (English)Zbl 07496493

MSC:  11A25 11A41
Full Text:

### A Menon-type identity with Dirichlet characters in residually finite Dedekind domains. (English)Zbl 1486.11006

MSC:  11A07 11A25
Full Text:

### On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski’s conjecture. (English)Zbl 07493029

MSC:  11A25 11N36 11L05
Full Text:

### Friends in $$\mathbb{Z}_n$$. (English)Zbl 07491401

MSC:  11A07 11A25
Full Text:

### 2-adic stratification of totients. (English)Zbl 07490326

MSC:  11A25 11N64
Full Text:

### Solutions of $$\varphi(n)=\varphi(n+k)$$ and $$\sigma(n)=\sigma(n+k)$$. (English)Zbl 07487098

MSC:  11A25 39A99
Full Text:

Full Text:

### A product of two primes with difference 2. (English)Zbl 1485.11010

MSC:  11A41 11A25
Full Text:

### Another generalization of Euler’s arithmetic function and Menon’s identity. (English)Zbl 1486.11008

MSC:  11A25 11N37 11A07
Full Text:

### The number of prime factors on average in certain integer sequences. (English)Zbl 07471088

MSC:  11N37 11A25 11B99
Full Text:

Full Text:

### On restricted divisor sums associated to the Chowla-Walum conjecture. (English)Zbl 07468296

MSC:  11N37 11A25
Full Text:

### Odd, spoof perfect factorizations. (English)Zbl 1484.11232

MSC:  11Y50 11D72 11A25
Full Text:

### Perrin numbers expressible as sums of two base $$b$$ repdigits. (English)Zbl 07552277

MSC:  11A25 11B39 11J86
Full Text:

### Some inequalities for the Riemann zeta function. (English)Zbl 07552264

MSC:  11A25 11M35 26D07
Full Text:

### The roundness-measure of a natural number. (English)Zbl 07552260

MSC:  11A25 11Y70 11Z05
Full Text:

### Asymptotic formulas for generalized gcd-sum and lcm-sum functions over $$r$$-regular integers (mod $$n^r$$). (English)Zbl 07533476

MSC:  11A25 11N37
Full Text:

### Alternating Euler sums and BBP-type series. (English)Zbl 07530822

MSC:  05A10 11A25 11M35
Full Text:

### An elementary note on the greatest prime factors of linearly related integers. (English)Zbl 07523036

MSC:  11A41 11N13 11A25
Full Text:

### Game values of arithmetic functions. (English)Zbl 07498447

MSC:  91A46 11A25 91A05
Full Text:

MSC:  11A25
Full Text:

MSC:  11A25
Full Text:

### Evaluation of convolution sums involving cubic divisor functions for a class of levels. (English)Zbl 07497480

MSC:  11A25 11F11
Full Text:

### A generalization of Menon-Rao-Sury’s identities to additive characters by Tóth’s method. (English)Zbl 07493445

MSC:  11A07 11A25
Full Text:

### Corrigendum to “Pentagonal and heptagonal repdigits” [Annales Mathematicae et Informaticae 52 (2020) 137-145]. (English)Zbl 07493377

MSC:  11A25 11B39 11J86
Full Text:

### On sums of sums involving squarefull numbers. (English)Zbl 07474085

MSC:  11N37 11A25
Full Text:

### Rigidity in dynamics and Möbius disjointness. (English)Zbl 07472619

MSC:  37A44 11A25 11N37
Full Text:

### Quasi-injectivity of some arithmetic functions. (English)Zbl 07471002

Reviewer: Lee Troupe (Macon)
MSC:  11A25 11A05
Full Text:

Full Text:

### Pell and Pell-Lucas numbers as sums of three repdigits. (English)Zbl 1484.11006

MSC:  11A25 11B39 11J86
Full Text:

### The generalized sum of remainders map and its fixed points. (English)Zbl 07455452

MSC:  11A25 37P99 11B50
Full Text:

### A study of cofficients derived from eta functions. (English)Zbl 07452329

MSC:  11A07 11A25
Full Text:

### The positive integer solutions to multivariate Euler function equation $$\varphi(x_1x_2 \cdots x_n) = k_1\varphi(x_1) + k_2\varphi(x_2) + \cdots + k_n\varphi(x_n) \pm l$$. (Chinese. English summary)Zbl 07448803

MSC:  11A25 11D45

### The solutions of arithmetic function equation $$k\varphi(Y) = {\varphi_2}(Y) + S(Y^8)$$. (Chinese. English summary)Zbl 07448418

MSC:  11A25 11D41
Full Text:

### Discussion on the positive integer solution of equation $$k\varphi (m) = S(m^t)$$. (Chinese. English summary)Zbl 07448407

MSC:  11A25 11D41
Full Text:

Full Text:

### On the equation $$f(n^2+nm+m^2)=f(n)^2+f(n)f(m)+f(m)^2$$. (English)Zbl 07444249

MSC:  11A25 11N64
Full Text:

### On the equation $$f(n^2+Dm^2+k)=f(n)^2+Df(m)^2+k$$. (English)Zbl 07444247

MSC:  11A25 11N64
Full Text:

### Characterization of the identity function with an equation function. (English)Zbl 07444246

MSC:  11A25 11N64
Full Text:

Full Text:

### Problems in number theory related to aperiodic order. (English)Zbl 1483.11004

Wood, David R. (ed.) et al., 2019–20 MATRIX annals. Cham: Springer. MATRIX Book Ser. 4, 697-698 (2021).
MSC:  11A25 37B51
Full Text:

MSC:  11A25
Full Text:

### Differences between totients. (English)Zbl 1481.11007

MSC:  11A25 11N64 11D85
Full Text:

### The divisor function on residue classes. III. (English)Zbl 1482.11131

MSC:  11N37 11A25 11B25
Full Text:

### Novel classes of integers and their applications in graph labeling. (English)Zbl 07428794

MSC:  11A25 05C78 11B83
Full Text:

### On Ramanujan expansions with multiplicative coefficients. (English)Zbl 1482.11006

MSC:  11A25 11N37 11K65
Full Text:

MSC:  11A25
Full Text:

### The distribution of numbers with many ordered factorizations. (English)Zbl 07419998

MSC:  11N37 11A25 11A51
Full Text:

### Some generalizations of the functions $$\tau$$ and $$\tau^{(e)}$$ in algebraic number fields. (English)Zbl 1482.11007

MSC:  11A25 11R04
Full Text:

### Some arithmetic functions of factorials in Lucas sequences. (English)Zbl 07414937

MSC:  11A25 11B39
Full Text:

MSC:  11A25

### Multiplicative functions which are additive on triangular numbers. (English)Zbl 1470.11255

MSC:  11P32 11A25
Full Text:

### Multiplicative functions arising from the study of mutually unbiased bases. (English)Zbl 1479.11019

MSC:  11A25 11L05
Full Text:

### On factorizations into coprime parts. (English)Zbl 1485.11141

MSC:  11N56 11A51 11A25
Full Text:

Full Text:

### Exceptional totient numbers. (English)Zbl 1472.11033

MSC:  11A25 11B83
Full Text:

### The $$n$$-color partition function and some counting theorems. (English)Zbl 1483.11223

MSC:  11P81 11A25
Full Text:

### On the total number of prime factors of an odd perfect number. (English)Zbl 1487.11007

MSC:  11A25 11A51 11N32
Full Text:

all top 5

all top 5

all top 5

all top 3

all top 3