Universal Higher Order Bernoulli Numbers and Kummer and Related Congruences

✍ Scribed by Arnold Adelberg

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 146 KB
• Volume: 84
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.2000.2526

✦ Synopsis

We define higher or arbitrary order universal Bernoulli numbers and higher order universal Bernoulli Hurwitz numbers. We deduce a universal first-order Kummer congruence and a congruence for the higher order universal Bernoulli Hurwitz numbers from Clarke's universal von Staudt theorem. We also establish other Kummer-type congruences for the higher order universal Bernoulli numbers and for the universal No rlund polynomials, generalizing the author's previous work.