Wyniki wyszukiwania

1

Additive functions with respect to expansions over the set of Gaussian integers

100%

Kátai I., Liardet P.

Acta Arithmetica

|

2001

|

tom 99

|

nr 2

173-182

2

Sums of reciprocals of additive functions running over short intervals

100%

De Koninck J.-M., Kátai I.

Colloquium Mathematicum

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2007

|

tom 107

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nr 2

317-326

EN

Letting f(n) = A log n + t(n), where t(n) is a small additive function and A a positive constant, we obtain estimates for the quantities $∑_{x≤n≤x+H} 1/f(Q(n))$ and $∑_{x≤p≤x+H} 1/f(Q(p))$, where H = H(x) satisfies certain growth conditions, p runs over prime numbers and Q is a polynomial with integer coefficients, whose leading coefficient is positive, and with all its roots simple.

3

On sets characterizing number-theoretical functions (II) (The set of "prime plus one"'s is a set of quasi-uniqueness)

79%

Kátai I.

Acta Arithmetica

|

1969-1970

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tom 16

|

nr 1

1-4

4

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On the determination of an additive arithmetical function by its local behaviour

79%

Kátai I.

Colloquium Mathematicum

|

1969

|

tom 20

|

nr 2

265-267

5

Additive functions monotonic on the set of primes

60%

De Koninck J. M., Kátai I., Mercier A.

Acta Arithmetica

|

1991

|

tom 57

|

nr 1

41-68

6

On additive functions having a non-decreasing normal order

60%

Kátai I.

Colloquium Mathematicum

|

1977

|

tom 37

|

nr 1

153-157

7

Distribution mod 1 of additive functions on the set of divisors

50%

Kátai I.

Acta Arithmetica

|

1976

|

tom 30

|

nr 2

209-212

8

On sets characterizing number-theoretical functions

40%

Kátai I.

Acta Arithmetica

|

1967-1968

|

tom 13

|

nr 3

315-320

9

A remark on number-theoretical functions

40%

Kátai I.

Acta Arithmetica

|

1968

|

tom 14

|

nr 4

409-415

10

On oscillations of number-theoretic functions

40%

Kátai I.

Acta Arithmetica

|

1967-1968

|

tom 13

|

nr 1

107-122

Ograniczanie wyników

7 Acta Arithmetica

3 Colloquium Mathematicum

10 Kátai I.

1 De Koninck J. M.

1 De Koninck J.-M.

1 Liardet P.

1 Mercier A.

1 2007

1 2001

1 1991

1 1977

1 1976

2 1969

2 1968

1 1967

Additive functions with respect to expansions over the set of Gaussian integers

Sums of reciprocals of additive functions running over short intervals

On sets characterizing number-theoretical functions (II) (The set of "prime plus one"'s is a set of quasi-uniqueness)

On the determination of an additive arithmetical function by its local behaviour

Additive functions monotonic on the set of primes

On additive functions having a non-decreasing normal order

Distribution mod 1 of additive functions on the set of divisors

On sets characterizing number-theoretical functions

A remark on number-theoretical functions

On oscillations of number-theoretic functions