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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,463 - 1,481 (19page)
- DOI
- 10.4134/BKMS.b201045
이용수
초록· 키워드
오류제보하기
Divisibility properties of harmonic numbers by a prime number $p$ have been a recurrent topic. However, finding the exact $p$-adic orders of them is not easy. Using class numbers of number fields and Bernoulli numbers, we compute the exact $p$-adic orders of harmonic type sums. Moreover, we obtain an asymptotic formula for generalized harmonic numbers whose $p$-adic orders are exactly one.
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참고문헌 (30)
참고문헌 신청
E. Alkan / 2018 / Hyperharmonic numbers can rarely be integers / Integers 18:15
C. Babbage / 1819 / Demonstration of a theorem relating to prime numbers / Edinburgh Philosophical J 1:46~49
J. Buhler / 1993 / Irregular primes and cyclotomic invariants to four million / Math. Comp 61(203):151~153
Joe Buhler / 2001 / Irregular Primes and Cyclotomic Invariants to 12 Million / Journal of Symbolic Computation 31(1-2):89~96
J. P. Buhler / 1992 / Irregular primes to one million / Math. Comp 59(200):717~722
C. Babbage / 1819 / Demonstration of a theorem relating to prime numbers / Edinburgh Philosophical J 1:46~49
J. Buhler / 1993 / Irregular primes and cyclotomic invariants to four million / Math. Comp 61(203):151~153
Joe Buhler / 2001 / Irregular Primes and Cyclotomic Invariants to 12 Million / Journal of Symbolic Computation 31(1-2):89~96
J. P. Buhler / 1992 / Irregular primes to one million / Math. Comp 59(200):717~722
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