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Publications Influence

On a conjecture of Erdos

- T. H. Pilehrood, Khodabakhsh Hessami Pilehrood
- Mathematics
- 30 July 2008

In this paper, we use the following standard notation: Z is the ring of integers, Q and Q are the fields of rational and algebraic numbers, respectively, φ(q) is the Euler function, and ω(q) is the… Expand

32 8

New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood, R. Tauraso
- Mathematics
- 2 June 2012

In this paper we present some new identities of hypergeometric type for multiple harmonic sums whose indices are the sequences (\{1\}^a,c,\{1\}^b), (\{2\}^a,c,\{2\}^b) and prove a number of… Expand

50 8- PDF

Arithmetical properties of some series with logarithmic coefficients

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood
- Mathematics
- 8 July 2006

AbstractWe prove approximation formulas for the logarithms of some infinite products, in particular, for Euler’s constant γ, log
$$\frac{4}{\pi}$$ and log σ, where σ is Somos’s quadratic recurrence… Expand

30 2

Bivariate Identities for Values of the Hurwitz Zeta Function and Supercongruences

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood
- Mathematics, Computer Science
- Electron. J. Comb.
- 19 April 2011

TLDR

14 2- PDF

Generating Function Identities for ζ(2n+2), ζ(2n+3) via the WZ Method

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood
- Mathematics, Computer Science
- Electron. J. Comb.
- 10 January 2008

TLDR

11 1- PDF

Simultaneous Generation for Zeta Values by the Markov-WZ Method

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood
- Computer Science, Mathematics
- Discret. Math. Theor. Comput. Sci.
- 22 January 2008

TLDR

11 1- PDF

Congruences concerning Jacobi polynomials and Apery-like formulae

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood, R. Tauraso
- Mathematics
- 24 October 2011

Let p > 5 be a prime. We prove congruences modulo p3-d for sums of the general form $\sum_{k = 0}^{(p-3)/2}{\scriptsize\Big(\begin{array}{@{}c@{}}2k\\k\end{array}\Big)}t^k/(2k+1)^{d+1}$ and $\sum_{k… Expand

9 1- PDF

Series acceleration formulae for beta values

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood
- Computer Science
- Discret. Math. Theor. Comput. Sci.
- 2010

1 1

Vacca-type series for values of the generalized-Euler-constant function and its derivative

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood
- Mathematics
- 4 August 2008

We generalize well-known Catalan-type integrals for Euler's constant to values of the generalized-Euler-constant function and its derivatives. Using generating functions appeared in these integral… Expand

12- PDF

On a continued fraction expansion for Euler's constant

- Khodabakhsh Hessami Pilehrood, T. H. Pilehrood
- Mathematics
- 7 October 2010

Recently, A. I. Aptekarev and his collaborators found a sequence of rational approximations to Euler's constant $\gamma$ defined by a third-order homogeneous linear recurrence. In this paper, we give… Expand

11- PDF