Wyniki wyszukiwania

1

On multiple zeros of Bernoulli polynomials

100%

Dilcher K.

Acta Arithmetica

|

2008

|

tom 134

|

nr 2

149-155

2

Mod p³ analogues of theorems of Gauss and Jacobi on binomial coefficients

64%

Cosgrave J., Dilcher K.

Acta Arithmetica

|

2010

|

tom 142

|

nr 2

103-118

3

On finite pattern-free sets of integers

64%

Dilcher K., Lucht L.

Acta Arithmetica

|

2006

|

tom 121

|

nr 4

313-325

4

Stern polynomials and double-limit continued fractions

64%

Dilcher K., Stolarsky K.

Acta Arithmetica

|

2009

|

tom 140

|

nr 2

119-134

5

On a congruence of Emma Lehmer related to Euler numbers

64%

Cosgrave J., Dilcher K.

Acta Arithmetica

|

2013

|

tom 161

|

nr 1

47-67

EN

A congruence of Emma Lehmer (1938) for Euler numbers $E_{p-3}$ modulo p in terms of a certain sum of reciprocals of squares of integers was recently extended to prime power moduli by T. Cai et al. We generalize this further to arbitrary composite moduli n and characterize those n for which the sum in question vanishes modulo n (or modulo n/3 when 3|n). Primes for which $E_{p-3} ≡ 0 (mod p)$ play an important role, and we present some numerical results.

6

Minimal polynomials of algebraic numbers with rational parameters

51%

Dilcher K., Noble R., Smyth C.

Acta Arithmetica

|

2011

|

tom 148

|

nr 3

281-308

Ograniczanie wyników

6 Acta Arithmetica

6 Dilcher K.

2 Cosgrave J.

1 Lucht L.

1 Noble R.

1 Smyth C.

1 Stolarsky K.

1 2013

1 2011

1 2010

1 2009

1 2008

1 2006

On multiple zeros of Bernoulli polynomials

Mod p³ analogues of theorems of Gauss and Jacobi on binomial coefficients

On finite pattern-free sets of integers

Stern polynomials and double-limit continued fractions

On a congruence of Emma Lehmer related to Euler numbers

Minimal polynomials of algebraic numbers with rational parameters