연구동향 분석

Applications of class numbers and Bernoulli numbers to harmonic type sums

Haydar Goral Doga Can Sertbas 2021년

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' Applications of class numbers and Bernoulli numbers to harmonic type sums' 의 주제별 논문영향력
논문영향력 선정 방법
논문영향력 요약
주제
  • Harmonic numbers
  • bernoullinumbers
  • classnumber
  • regular primes
동일주제 총논문수 논문피인용 총횟수 주제별 논문영향력의 평균
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' Applications of class numbers and Bernoulli numbers to harmonic type sums' 의 참고문헌

  • Wolstenholme’s theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862-2012)
  • Wolstenholme revisited
  • The orders of solutions of the Kummer system of congruences
    L. Skula [1994]
  • The class number of an imaginary quadratic field
    L. Carlitz [1953]
  • The Irregular Primes to 125000
  • The Book of Numbers
  • Several explicit formulae for Bernoulli polynomials
    T. Komatsu [2016]
  • SageMath, the Sage Mathematics Software System (Version 8.3)
  • On the residues of the sums of products of the first p − 1 numbers and their powers, to modulus p 2 or p 3
  • On certain properties of prime numbers
  • Multiplicative Number Theory
  • Irregular primes to two billion
  • Irregular primes to one million
  • Irregular primes to 163 million
    J. Buhler [2011]
  • Irregular primes and cyclotomic invariants to four million
    J. Buhler [1993]
  • Irregular primes and cyclotomic invariants
    W. Johnson [1975]
  • Irregular Primes and Cyclotomic Invariants to 12 Million
    Joe Buhler [2001]
  • Index of irregularity of a prime
    L. Skula [1980]
  • Hyperharmonic numbers can rarely be integers
    E. Alkan [2018]
  • Hyperharmonic integers exist
  • Evaluation of Euler-like sums via Hurwitz zeta values
    Ayhan DİL [2017]
  • Divisibility properties of hyperharmonic numbers
    H. Göral [2018]
  • Demonstration of a theorem relating to prime numbers
    C. Babbage [1819]
  • Congruences concerning Bernoulli numbers and Bernoulli polynomials
  • Bemerkung über die harmonische Reihe
  • Almost all hyperharmonic numbers are not integers
  • About the non-integer property of hyperharmonic numbers
    I. Mez˝o [2007]
  • A congruence for some generalized harmonic type sums
  • A classical Introduction to Modern Number Theory
    K. Ireland [1990]
  • A Theorem on the Numerators of the Bernoulli Numbers