## Found 3,978 Documents (Results 1–100)

100
MathJax

### On Wigert’s type divisor problem. (English)Zbl 07595133

MSC:  11Nxx 11Mxx 11Pxx
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### D’Alembert’s other functional equation on monoids revisited. (English)Zbl 07614078

MSC:  39B52 39B32 39B42
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MSC:  26A24
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MSC:  68T37
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MSC:  11N37
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### Sums of random multiplicative functions over function fields with few irreducible factors. (English)Zbl 07605301

MSC:  11K65 60F05 60G50
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### Multiplicative functions supported on the $$k$$-free integers with small partial sums. (English)Zbl 07603207

MSC:  11N37 11L40 11M26
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### On the exponents in the factorizations of $$r$$ consecutive numbers. (English)Zbl 07600457

MSC:  11N25 11N37 11N64
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### Consecutive neighbour spacings between the prime divisors of an integer. (English)Zbl 07600230

MSC:  11N37 11A05
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### Exponential sums with multiplicative coefficients and applications. (English)Zbl 07599873

MSC:  11N37 11L03 11P55
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### An improvement on the perfect order subsets of finite groups. (English)Zbl 07596989

MSC:  11N25 20K01 11A25
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### A class of identities associated with Dirichlet series satisfying Hecke’s functional equation. (English)Zbl 07594310

MSC:  33C10 11M06 11N99
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### On a $$k$$-additive uniqueness set for multiplicative functions. (English)Zbl 07587861

MSC:  11A25 11B85
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### On the Atkinson formula for the $$\zeta$$ function. (English)Zbl 07584815

MSC:  11Mxx 11Nxx 11-XX
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### A central limit theorem associated with square-full divisor function in short intervals. (English)Zbl 07584811

MSC:  11N60 60F05
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### A model problem for multiplicative chaos in number theory. (English)Zbl 07584660

MSC:  11K65 60F99
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MSC:  39B52
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### The truncated sum of digits function of polynomial sequences. (English)Zbl 07576452

MSC:  11A63 11N60
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### Generalized visibility of lattice points in higher dimensions. (English)Zbl 07575700

MSC:  11N37 11H06 11A05
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### Correction to: On positive integers $$n$$ with $$\sigma_l(2n+1)<\sigma_l(2n)$$. (English)Zbl 07574646

MSC:  11A25 11N25
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### On positive integers $$n$$ with $$\sigma_l(2n+1)<\sigma_l(2n)$$. (English)Zbl 07574645

Period. Math. Hung. 85, No. 1, 210-224 (2022); correction ibid. 85, No. 2, 225 (2022).
MSC:  11A25 11N25
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### Topologies generated by symmetric porosity on normed spaces. (English)Zbl 07571155

MSC:  54C30 26A15 54C08
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### $$k$$-Fibonacci numbers and Möbius functions. (English)Zbl 07569238

MSC:  11A25 11B39
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### A tale of two cyclicities: counting in finite cyclic groups and finite fields. (English)Zbl 07566945

MSC:  11A25 12E20
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### Divisibility properties of power matrices associated with arithmetic functions on a divisor chain. (English)Zbl 1495.11049

MSC:  11C20 11A05 11A25
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MSC:  11A25
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### Multiplicative functions $$K$$-additive on generalized pentagonal numbers. (English)Zbl 07556150

MSC:  11A25 11N64
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### On properties of the Riemann zeta distribution. (English)Zbl 07556043

MSC:  11N60 60F10 11K65
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### On a sequence attached to powerful numbers: an elementary proof. (English)Zbl 07555758

MSC:  11N25 11N60
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### Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields. (English)Zbl 07554480

Reviewer: B. Z. Moroz (Bonn)
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### On the numbers $$n$$ relatively prime to $$\Omega (n)-\omega(n)$$. (English)Zbl 1495.11115

MSC:  11N37 11A25 11A05
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### New properties of an arithmetic function. (English)Zbl 07552133

MSC:  11A25 11A05
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### On the limit of a difference equation with a generating sequence. (English)Zbl 1492.39004

MSC:  39A20 33B15 65Q10
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### On Ramanujan-type congruences for multiplicative functions. (English)Zbl 07541288

MSC:  11A25 11P83
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### The number of prime factors of integers with dense divisors. (English)Zbl 07538057

MSC:  11N25 11N37
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MSC:  11N60
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### A note on the density of zeros of partial sums of the Dedekind zeta function over a quadratic field. (Une note sur la densité des zéros des sommes partielles de la fonction zeta de Dedekind sur un corps quadratique.) (French)Zbl 1489.11193

MSC:  11R42 11R45 30C15
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### Additive arithmetic functions meet the inclusion-exclusion principle: asymptotic formulas concerning the GCD and LCM of several integers. (English)Zbl 1493.11131

MSC:  11N37 11A25 11A07
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### On multiplicative functions that are small on average and zero-free regions for the Riemann zeta function. (English)Zbl 1493.11130

MSC:  11N37 11M26
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### The derived sequence of a pre-Jaffard family. (English)Zbl 1491.13007

MSC:  13A15 13F05 13G05
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### Menon-type identities concerning subsets of the set $$\{1, 2,\ldots, n\}$$. (English)Zbl 07523961

MSC:  11A25 11A05 11B75
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### A parametric functional equation originating from number theory. (English)Zbl 1487.39033

MSC:  39B52 39B42 47A62
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MSC:  39B52
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MSC:  39B52
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### On the general solutions of three functional equations. (English)Zbl 1487.39030

MSC:  39B22 39B52
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MSC:  13A15
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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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### On the consecutive prime divisors of an integer. (English)Zbl 1489.11147

MSC:  11N37 11A05
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### Joint distribution in residue classes of polynomial-like multiplicative functions. (English)Zbl 1492.11007

MSC:  11A25 11N36 11N64
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### Number of prime factors with a given multiplicity. (English)Zbl 07496493

MSC:  11A25 11N60
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### Variations of essentiality of ideals in commutative rings. (English)Zbl 1482.13006

MSC:  13A15 54C40 13C05
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### On primes and practical numbers. (English)Zbl 07490456

MSC:  11N25 11N37
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### When is $$C(X)$$ an EM-ring? (English)Zbl 1482.13004

MSC:  13A15 54C30 54C45
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### A lower bound for the variance of generalized divisor functions in arithmetic progressions. (English)Zbl 1489.11155

MSC:  11N64 11B25
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### Higher Mertens constants for almost primes. (English)Zbl 07466558

MSC:  11N25 11N37 11A51
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### Odd, spoof perfect factorizations. (English)Zbl 1484.11232

MSC:  11Y50 11D72 11A25
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### The additive problem for the number of representations as a sum of two squares. (English)Zbl 07465535

MSC:  11N75 11N37 11F72
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### Recent progress on topics of Ramanujan sums and cotangent sums associated with the Riemann hypothesis. (English)Zbl 1493.11006

Monographs in Number Theory 10. Singapore: World Scientific (ISBN 978-981-12-4688-3/hbk; 978-981-12-4690-6/ebook). ix, 154 p. (2022).
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### Central limit theorem for the least common multiple of a uniformly sampled $$m$$-tuple of integers. (English)Zbl 1483.11166

MSC:  11K65 60F05 11A05
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MSC:  39B52
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### The rank-generating functions of upho posets. (English)Zbl 07414954

MSC:  06A07 05A15 13A15
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### Excursions in multiplicative number theory. (English)Zbl 1496.11003

MSC:  11-01 11Nxx
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### Multiplicative representations of integers and Ramsey’s theorem. (English)Zbl 07620508

Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 409-423 (2021).
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### A conjectural inequality for visible points in lattice parallelograms. (English)Zbl 07620504

Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 357-369 (2021).
MSC:  11Bxx 11Nxx
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### Combinatorics of multicompositions. (English)Zbl 07620501

Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 307-321 (2021).
MSC:  11Bxx 11Nxx
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### Intrinsic characterization of representation functions and generalizations. (English)Zbl 07620500

Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 291-305 (2021).
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### Non-injectivity of nonzero discriminant polynomials and applications to packing polynomials. (English)Zbl 07620495

Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 195-201 (2021).
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