Wyniki wyszukiwania

1

On the zeros of ζ'(s)-a

100%

Balasubramanian R., Ramachandra K.

Acta Arithmetica

|

1993

|

tom 63

|

nr 2

183-191

2

On the zeros of ζ(s)-a

100%

Balasubramanian R., Ramachandra K.

Acta Arithmetica

|

1993

|

tom 63

|

nr 4

359-366

3

On a conjecture of R. L. Graham

100%

Balasubramanian R., Soundararajan K.

Acta Arithmetica

|

1996

|

tom 75

|

nr 1

1-38

4

Asymptotic formula for sum-free sets in abelian groups

100%

Balasubramanian R., Prakash G.

Acta Arithmetica

|

2007

|

tom 127

|

nr 2

115-124

5

Squares in products from a block of consecutive integers

100%

Balasubramanian R., Shorey T.

Acta Arithmetica

|

1993

|

tom 65

|

nr 3

213-220

6

On the sum of the first n values of the Euler function

81%

Balasubramanian R., Luca F., Ralaivaosaona D.

Acta Arithmetica

|

2014

|

tom 163

|

nr 3

199-201

EN

Let ϕ(n) be the Euler function of n. We put $E(n) = ∑_{m≤n} ϕ(m) - (3/π²)n²$ and give an asymptotic formula for the second moment of E(n).

7

The Bohr inequality for ordinary Dirichlet series

81%

Balasubramanian R., Calado B., Queffélec H.

Studia Mathematica

|

2006

|

tom 175

|

nr 3

285-304

EN

We extend to the setting of Dirichlet series previous results of H. Bohr for Taylor series in one variable, themselves generalized by V. I. Paulsen, G. Popescu and D. Singh or extended to several variables by L. Aizenberg, R. P. Boas and D. Khavinson. We show in particular that, if $f(s) = ∑_{n=1}^{∞} aₙn^{-s}$ with $||f||_{∞} := sup_{ℜ s>0} |f(s)| < ∞$, then $∑_{n=1}^{∞} |aₙ|n^{-2} ≤ ||f||_{∞}$ and even slightly better, and $∑_{n=1}^{∞} |aₙ|n^{-1/2} ≤ C||f||_{∞}$, C being an absolute constant.

8

An application of the Hooley-Huxley contour

81%

Balasubramanian R., Ivić A., Ramachandra K.

Acta Arithmetica

|

1993

|

tom 65

|

nr 1

45-51

9

On the error function in the asymptotic formula for the counting function of k-full numbers

81%

Balasubramanian R., Ramachandra K., Subbarao M. V.

Acta Arithmetica

|

1988

|

tom 50

|

nr 2

107-118

10

An improved upper bound for G(k) in Waring's problem for relatively small k

80%

Balasubramanian R., Mozzochi C. J.

Acta Arithmetica

|

1983-1984

|

tom 43

|

nr 3

283-285

11

Progress towards a conjecture on the mean value of Titchmarsh series, III

70%

Balasubramanian R., Ramachandra K.

Acta Arithmetica

|

1985-1986

|

tom 45

|

nr 4

309-318

12

On the frequency of Titchmarsh's phenomenon for ζ(s). VI

60%

Ramachandra K., Balasubramanian R.

Acta Arithmetica

|

1989-1990

|

tom 53

|

nr 4

325-331

13

On the number of integers n such that nd(n) ≤ x

60%

Balasubramanian R., Ramachandra K.

Acta Arithmetica

|

1987-1988

|

tom 49

|

nr 4

313-322

14

A note on a result of Erdös, Sárkőzy and Sós

50%

Balasubramanian R.

Acta Arithmetica

|

1987-1988

|

tom 49

|

nr 1

45-53

15

An alternative approach to a theorem of Tom Meurman

41%

Balasubramanian R., Ramachandra K.

Acta Arithmetica

|

1990

|

tom 55

|

nr 4

351-364

16

A note on Dirichlet's L-functions

40%

Balasubramanian R.

Acta Arithmetica

|

1980-1981

|

tom 38

|

nr 3

273-283

Ograniczanie wyników

On the zeros of ζ'(s)-a

On the zeros of ζ(s)-a

On a conjecture of R. L. Graham

Asymptotic formula for sum-free sets in abelian groups

Squares in products from a block of consecutive integers

On the sum of the first n values of the Euler function

The Bohr inequality for ordinary Dirichlet series

An application of the Hooley-Huxley contour

On the error function in the asymptotic formula for the counting function of k-full numbers

An improved upper bound for G(k) in Waring's problem for relatively small k

Progress towards a conjecture on the mean value of Titchmarsh series, III

On the frequency of Titchmarsh's phenomenon for ζ(s). VI

On the number of integers n such that nd(n) ≤ x

A note on a result of Erdös, Sárkőzy and Sós

An alternative approach to a theorem of Tom Meurman

A note on Dirichlet's L-functions