p. 135 - 142 The inverse of the Pascal lower triangular matrix modulo p A. Imani and A. R. Moghaddamfar Received: June 6, 2009; Revised: July 27, 2009; Accepted: September 3, 2009 Abstract. Let L(n)p be the Pascal lower triangular matrix with coefficients $\binom{i}{j}$ (mod p), 0 £ i, j < n. In this paper, we found the inverse of L(n)p modulo p. In fact, we generalize a result due to David Callan [4]. Keywords: Pascal matrix modulo p; inverse matrix; Thue-Morse sequence. AMS Subject classification: Primary: 15A09, 15A36, 11C20. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2009, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |