Results 301 to 310 of about 173,713 (336)

Generalized Bernoulli-Hurwitz numbers and the universal Bernoulli numbers

Russian Mathematical Surveys, 2011
The three fundamental properties of the Bernoulli numbers, namely, the von Staudt-Clausen theorem, von Staudt's second theorem, and Kummer's original congruence, are generalized to new numbers that we call generalized Bernoulli-Hurwitz numbers. These are coefficients in the power series expansion of a higher-genus algebraic function with respect to a ...
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Generalized Bernoulli Numbers

2014
In this chapter we introduce generalized Bernoulli numbers and Bernoulli polynomials. Generalized Bernoulli numbers are Bernoulli numbers twisted by a Dirichlet character, which we define at the beginning of the first section. Bernoulli polynomials are generalizations of Bernoulli numbers with an indeterminate.
Tomoyoshi Ibukiyama, Masanobu Kaneko
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q-Bernoulli and Eulerian Numbers

Transactions of the American Mathematical Society, 1954
In einer früheren Arbeit [Duke Math. J. 15, 987--1000 (1948; Zbl 0032.00304)] definierte der Verf. die rationalen Funktionen \(\eta_m\) der Unbestimmten \(q\) durch die symbolischen Formeln (in welchen nach der Entwicklung \(\eta^m\) durch \(\eta_m\) ersetzt wird) \((q\eta+1)^m=\eta^m\) \((m>1)\), \(\eta_0=1\), \(\eta_1=0\) und die polynome \(\eta_m(x)\
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Stirling Numbers and Bernoulli Numbers

2014
In this chapter we give a formula that describes Bernoulli numbers in terms of Stirling numbers. This formula will be used to prove a theorem of Clausen and von Staudt in the next chapter. As an application of this formula, we also introduce an interesting algorithm to compute Bernoulli numbers.
Tomoyoshi Ibukiyama, Masanobu Kaneko
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Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller, Leticia M Nogueira, Angela B Mariotto   +2 more
exaly  

Bernoulli Numbers

1982
Kenneth Ireland, Michael Rosen
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Bernoulli Numbers

2014
Tomoyoshi Ibukiyama, Masanobu Kaneko
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Proportion and number of cancer cases and deaths attributable to potentially modifiable risk factors in the United States

Ca-A Cancer Journal for Clinicians, 2018
Farhad Islami, Ann Goding Sauer Msph, Kimberly D Miller   +2 more
exaly  

Cancer statistics in China, 2015

Ca-A Cancer Journal for Clinicians, 2016
Rongshou Zheng, Peter D Baade, Siwei Zhang   +2 more
exaly  

Cancer treatment and survivorship statistics, 2019

Ca-A Cancer Journal for Clinicians, 2019
Kimberly D Miller, Leticia Nogueira, Angela B Mariotto   +2 more
exaly