Bernoulli's Numbers and Certain Arithmetic Quotient Functions
β Scribed by H. S. Vandiver
- Book ID
- 123669016
- Publisher
- National Academy of Sciences
- Year
- 1945
- Tongue
- English
- Weight
- 399 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0027-8424
- DOI
- 10.2307/87637
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π SIMILAR VOLUMES
A class of generating functions based on the PadΓ© approximants of the exponential function gives a doubly infinite class of number and polynomial sequences. These generalize the Bernoulli numbers and polynomials, as well as other sequences found in the literature. We derive analogues of the Kummer c
Let B m be the mth Bernoulli number in the even suffix notation and let q(a, n)=(a j(n) -1)/n be the Fermat-Euler quotient, where a, n \ 2 are relatively prime positive integers and j is the Euler totient function. The main purpose of this paper is to devise a certain congruence involving the Bernou