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Publications Influence

Sums of Products of Bernoulli Numbers

- K. Dilcher
- Mathematics
- 1 September 1996

Abstract Closed expressions are obtained for sums of products of Bernoulli numbers of the form[formula], where the summation is extended over all nonnegative integers j 1 , …, j N with j 1 + j 2 +…+… Expand

139 19

Some q-series identities related to divisor functions

- K. Dilcher
- Computer Science, Mathematics
- Discret. Math.
- 13 October 1995

TLDR

63 13

Generalized Euler Constants for Arithmetical Progressions

- K. Dilcher
- Mathematics
- 1 September 1992

The work of Lehmer and Briggs on Euler constants in arithmetical progressions is extended to the generalized Euler constants that arise in the Laurent expansion of g(s) about s = 1 . The results are… Expand

33 10- PDF

Roots of Independence Polynomials of Well Covered Graphs

- J. Brown, K. Dilcher, R. Nowakowski
- Mathematics
- 1 May 2000

Let G be a well covered graph, that is, all maximal independent sets of G have the same cardinality, and let ik denote the number of independent sets of cardinality k in G. We investigate the roots… Expand

74 8- PDF

On generalized gamma functions related to the Laurent coefficients of the Riemann zeta function

- K. Dilcher
- Mathematics
- 1 August 1994

SummaryWe study a class of generalized gamma functions Гk(z) which relate to the generalized Euler constantsγk (basically the Laurent coefficients ofζ(s)) as Г(z) does to the Euler constantγ. A new… Expand

13 6

Convolution identities and lacunary recurrences for Bernoulli numbers

- T. Agoh, K. Dilcher
- Mathematics
- 1 May 2007

Abstract We extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can be written in symbolic notation as ( B 0 + B 0 ) n = − n B n − 1 − ( n − 1 ) B n , to obtain… Expand

73 5- PDF

A POLYNOMIAL ANALOGUE TO THE STERN SEQUENCE

- K. Dilcher, K. Stolarsky
- Mathematics
- 1 March 2007

We extend the Stern sequence, sometimes also called Stern's diatomic sequence, to polynomials with coefficients 0 and 1 and derive various properties, including a generating function. A simple… Expand

49 5

Resultants and discriminants of Chebyshev and related polynomials

- K. Dilcher, K. Stolarsky
- Mathematics
- 19 October 2004

We show that the resultants with respect to x of certain linear forms in Chebyshev polynomials with argument x are again linear forms in Chebyshev polynomials. Their coefficients and arguments are… Expand

30 5- PDF

Shortened recurrence relations for Bernoulli numbers

- T. Agoh, K. Dilcher
- Computer Science, Mathematics
- Discret. Math.
- 1 March 2009

TLDR

29 5

Higher-order convolutions for Bernoulli and Euler polynomials

- T. Agoh, K. Dilcher
- Mathematics
- 15 November 2014

Abstract We prove convolution identities of arbitrary orders for Bernoulli and Euler polynomials, i.e., sums of products of a fixed but arbitrary number of these polynomials. They differ from the… Expand

17 5

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