Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Arts and Humanities (10)
- English Language and Literature (6)
- Mathematics (6)
- Physical Sciences and Mathematics (6)
- Social and Behavioral Sciences (6)
-
- Applied Mathematics (5)
- Sociology (3)
- Clinical Psychology (2)
- Psychology (2)
- Spanish and Portuguese Language and Literature (2)
- Anthropological Linguistics and Sociolinguistics (1)
- Applied Linguistics (1)
- Creative Writing (1)
- Ecology and Evolutionary Biology (1)
- First and Second Language Acquisition (1)
- French and Francophone Language and Literature (1)
- Life Sciences (1)
- Linguistics (1)
- Number Theory (1)
- Poetry (1)
- Religion (1)
- Spanish Linguistics (1)
- Theory, Knowledge and Science (1)
- Keyword
-
- Apery’s constant. (1)
- Bernoulli number. (1)
- Bernoulli polynomial (1)
- Completely multiplicative function (1)
- Dirichlet series (1)
-
- Euler polynomial (1)
- Euler’s formula (1)
- Multiplicative function (1)
- Multivariate Riordan array pair (1)
- Multivariate Sheffer-type differential operators (1)
- Multivariate Sheffer-type polynomials (1)
- Multivariate exponential polynomials. (1)
- Multivariate formal power series (1)
- Multivariate weighted Stirling numbers (1)
- M¨obius inversion (1)
- Riemann Zeta function (1)
- Riemann zeta function (1)
- Selberg multiplicative functions. (1)
Articles 1 - 22 of 22
Full-Text Articles in Entire DC Network
Review: Blacks Of The Rosary: Memory And History In Minas Gerais, Brazil, Carole Myscofski
Review: Blacks Of The Rosary: Memory And History In Minas Gerais, Brazil, Carole Myscofski
Scholarship
Book review of Blacks of the Rosary: Memory and History in Minas Gerais, Brazil, by Elizabeth Kiddy.
Study Abroad Social Networks, Motivation And Attitudes: Implications For Second Language Acquisition., Christina Isabelli
Study Abroad Social Networks, Motivation And Attitudes: Implications For Second Language Acquisition., Christina Isabelli
Scholarship
No abstract provided.
My Right Breast And Other Poems, Carmela Ferradans
My Right Breast And Other Poems, Carmela Ferradans
Scholarship
A collection of original poetry about the author's experience with cancer.
Austrian Economics, Christopher Prendergast
Phenomenology And Ethnomethodology In Economic Sociology, Christopher Prendergast
Phenomenology And Ethnomethodology In Economic Sociology, Christopher Prendergast
Scholarship
No abstract provided.
An Euler-Type Formula For Ζ(2k +1), Tian-Xiao He, Michael Dancs
An Euler-Type Formula For Ζ(2k +1), Tian-Xiao He, Michael Dancs
Scholarship
In this short paper, we give several new formulas for ζ(n) when n is an odd positive integer. The method is based on a recent proof, due to H. Tsumura, of Euler’s classical result for even n. Our results illuminate the similarities between the even and odd cases, and may give some insight into why the odd case is much more difficult.
Numerical Approximation To Ζ(2n+1), Tian-Xiao He, Michael Dancs
Numerical Approximation To Ζ(2n+1), Tian-Xiao He, Michael Dancs
Scholarship
In this short paper, we establish a family of rapidly converging series expansions ζ(2n +1) by discretizing an integral representation given by Cvijovic and Klinowski [3] in Integral representations of the Riemann zeta function for odd-integer arguments, J. Comput. Appl. Math. 142 (2002) 435–439. The proofs are elementary, using basic properties of the Bernoulli polynomials.
Multivariate Expansion Associated With Sheffer-Type Polynomials And Operators, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Multivariate Expansion Associated With Sheffer-Type Polynomials And Operators, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship
With the aid of multivariate Sheffer-type polynomials and differential operators, this paper provides two kinds of general expansion formulas, called respectively the first expansion formula and the second expansion formula, that yield a constructive solution to the problem of the expansion of A(ˆt)f([g(t)) (a composition of any given formal power series) and the expansion of the multivariate entire functions in terms of multivariate Sheffer-type polynomials, which may be considered an application of the first expansion formula and the Sheffer-type operators. The results are applicable to combinatorics and special function theory.
On The Convergence Of The Summation Formulas Constructed By Using A Symbolic Operator Approach, Tian-Xiao He, Leetsch Hsu, Peter Shiue
On The Convergence Of The Summation Formulas Constructed By Using A Symbolic Operator Approach, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship
This paper deals with the convergence of the summation of power series of the form Σa ≤ k ≤ bf(k)xk, where 0 ≤ a ≤ b < ∞, and {f(k)} is a given sequence of numbers with k ∈ [a, b) or f(t) a differentiable function defined on [a, b). Here, the summation is found by using the symbolic operator approach shown in [1]. We will give a different type of the remainder of the summation formulas. The convergence of the corresponding power series will be determined consequently. Several examples such as the generalized Euler's transformation series will also be given. In addition, we will compare the convergence of the given series transforms.
On The Generalized Möbius Inversion Formulas, Tian-Xiao He, Peter Shiue3, Leetsch Hsu
On The Generalized Möbius Inversion Formulas, Tian-Xiao He, Peter Shiue3, Leetsch Hsu
Scholarship
We provide a wide class of M¨obius inversion formulas in terms of the generalized M¨obius functions and its application to the setting of the Selberg multiplicative functions.
Masculinity Ideology And Forgiveness Of Racial Discrimination Among African American Men: Direct And Interactive Relationships, Wizdom Powell Hammond, Kira Hudson Banks, Jacqueline S. Mattis
Masculinity Ideology And Forgiveness Of Racial Discrimination Among African American Men: Direct And Interactive Relationships, Wizdom Powell Hammond, Kira Hudson Banks, Jacqueline S. Mattis
Scholarship
Forgiveness research has focused almost exclusively on interpersonal transgressions committed in close relationships. Consequently, less is known about factors informing forgiveness of non-intimate actors. The current study addresses these gaps by investigating correlates of forgiveness over racial discrimination among African American men (N=171). Specifically, we explore relationships between the endorsement of traditional masculine ideology (e.g., restrictive emotionality), overall forgiveness, forgiveness with positive affect, and forgiveness with the absence of negative affect. Links between personality, religiosity, social support, discrimination experiences, and these forms of forgiveness also are examined. Restrictive emotionality emerged as a barrier to forgiveness of discrimination. However, the relationship …
An Examination Of The African American Experience Of Everyday Discrimination And Symptoms Of Psychological Distress, Kira Hudson Banks, Laura P. Kohn-Wood, Michael Spencer
An Examination Of The African American Experience Of Everyday Discrimination And Symptoms Of Psychological Distress, Kira Hudson Banks, Laura P. Kohn-Wood, Michael Spencer
Scholarship
Current theoretical models suggest that the most potent and impacting discrimination experienced by African Americans in the post Jim Crow era are subtle and unconscious forms of discrimination that are experienced on a daily basis. This study investigates the relationship between perceived everyday discrimination and anxiety and depressive symptoms. Further, we examine gender as a moderator of this relationship. Data come from the 1995 Detroit Area Study data with 570 African American respondents. Results indicate that perceived discrimination is directly related to both symptoms of depression and anxiety. Gender moderates the relationship between discrimination and anxiety symptoms, but not discrimination …
From Exceptionalism To Imperialism: Culture, Character, And American Foreign Policy, Meghan Burke, Laura Langman
From Exceptionalism To Imperialism: Culture, Character, And American Foreign Policy, Meghan Burke, Laura Langman
Scholarship
No abstract provided.
Book Review- Amphibians Of An Amazonian Blackwater Pond In Peru: Schluter, A., Edgar Lehr
Book Review- Amphibians Of An Amazonian Blackwater Pond In Peru: Schluter, A., Edgar Lehr
Scholarship
No abstract provided.
Europe, Michael Theune
But Seriously, Folks... A Few Words On Wit, Michael Theune
But Seriously, Folks... A Few Words On Wit, Michael Theune
Scholarship
No abstract provided.
Structure And Surprise: A New Paradigm For Teaching Poetry, Michael Theune
Structure And Surprise: A New Paradigm For Teaching Poetry, Michael Theune
Scholarship
No abstract provided.
Some Considerations Of (Untitled), Michael Theune
Wit's Worth: A Reflection On Contemporary American Poetry On Created In Darkness By Troubled Americans, Michael Theune
Wit's Worth: A Reflection On Contemporary American Poetry On Created In Darkness By Troubled Americans, Michael Theune
Scholarship
Near the beginning of last century, Ezra Pound proclaimed that poetry should be at least as well-written as prose. Near the end of that same century, Charles Bernstein declared that poetry should be at least as interesting as TV. The start of a new century brings with it a new demand for poetry: poetry must be at least as witty, as knowing and as surprising as Created in Darkness by Troubled Americans. And, though it may not seem so at first, this silly—and disturbing, and wonderful—book offers serious lessons for and challenges to contemporary American poetry at all levels: from …
Hallowmas, Michael Theune
Construction Of Rational Points On Elliptic Curves Over Finite Fields, Andrew Shallue, Christiaan Van De Woestijne
Construction Of Rational Points On Elliptic Curves Over Finite Fields, Andrew Shallue, Christiaan Van De Woestijne
Scholarship
We give a deterministic polynomial-time algorithm that computes a nontrivial rational point on an elliptic curve over a finite field, given a Weierstrass equation for the curve. For this, we reduce the problem to the task of finding a rational point on a curve of genus zero.
Christine De Pizan's Dit De La Pastoure: Pastoral Poetry, And The Poetics Of Loss, Christopher Callahan
Christine De Pizan's Dit De La Pastoure: Pastoral Poetry, And The Poetics Of Loss, Christopher Callahan
Scholarship
No abstract provided.