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On a Conjecture of Chowlaet al.

✍ Scribed by B. Sury

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 147 KB
Volume: 72
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2255

No coin nor oath required. For personal study only.

✦ Synopsis

We prove some congruences for the numbers

In particular, we show that the numbers a p = k ( p k ) 2 ( p+k k ) 2 are congruent to 5 modulo p 3 for any prime p 5, thereby proving a conjecture of Chowla et al. (J. Number Theory 12 (1980), 188 190).

1998 Academic Press

In particular, the conjecture mentioned earlier is true.

We make some elementary observations which are used in the proof.

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