Stringy Hodge Numbers and Euler Number
Generalizations of Euler numbers and polynomials
... of Euler numbers and ...generalized Euler number and the generalized Euler polynomial, which generalize the concepts of Euler number and Euler polyno- ...
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Hodge numbers and deformations of Fano 3 folds
... GAVIN BROWN AND ENRICO FATIGHENTI Abstract. We show that index 1 Fano 3-folds which lie in weighted Grassmannians in their total anticanonical embedding have no infinitesimal deformations, and we relate the deformation ...
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Hodge numbers from Picard Fuchs equations
... Remark 5.8. Similar calculations can presumably be completed for any family of Calabi– Yau threefolds realising one of the fourteen hypergeometric variations of Hodge structure of type (1, 1, 1, 1) classified by ...
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Sums of Products of Euler Polynomials and Numbers
... and numbers, since many identities can be obtained from our sums of products of the q-Euler polynomials and ...the Euler numbers and polynomials and obtained some identities related to ...
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Several closed expressions for the Euler numbers
... the Euler numbers E k and the tangent number S k ...These numbers are closely connected with many other numbers and functions, such as the Bernoulli numbers, the Genocchi ...
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New Approach to Euler Numbers and Polynomials
... complex number field. We assume that q ∈ C with |q| < 1 and that the q-number is defined by x q 1 − q x /1 − q in this ...and numbers see ...of Euler polynomials and numbers approaching ...
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Arithmetic Identities Involving Bernoulli and Euler Numbers
... These identities are derived from the several p-adic integral equations on Z p . 1. Introduction Let p be a fixed odd prime number. Throughout this paper, Z p , Q p , and C p will denote the ring of p-adic ...
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Some Relationships between the Analogs of Euler Numbers and Polynomials
... These numbers are classical and important in mathematics and in various places like analysis, number ...such numbers as E n to the so-called Frobenius-Euler numbers H n (u) belonging to ...
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New identities involving Bernoulli, Euler and Genocchi numbers
... According to statement by Cohen in the first paragraph of [, Chapter ], the p-adic functions with nice properties are powerful tools for studying many results of classical number theory in a straightforward ...
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Generalized Euler Numbers and Polynomials Associated with Adic Integral on
... be the normalized exponential valuation of C p with |p| p p −ν p p p −1 . When one talks of q- extension, q is considered in many ways such as an indeterminate, a complex number q ∈ C, or p-adic number q ∈ ...
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A Note on Some Identities of Frobenius Euler Numbers and Polynomials
... 1. Introduction Let p be a fixed odd prime number. Throughout this paper, Z p , Q p , and C p will denote the ring of p-adic rational integers, the field of p-adic rational numbers, and the completion of ...
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Euler s Pentagonal Number Theorem
... Pentagonal Number Theorem was originally proved by Euler in a paper he presented to the ...pentagonal numbers, but also to perhaps less obvious mathematical topics, such as the notion of partitions ...
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On Carlitz's Type Euler Numbers Associated with the Fermionic Adic Integral on
... 1. Introduction Throughout this paper, let p be an odd prime number. The symbol, Z p , Q p , and C p denote the rings of p-adic integers, the field of p-adic numbers, and the field of p-adic completion of ...
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Multiple Twisted Euler Numbers and Polynomials Associated with Adic Integrals
... 1. Introduction Let p be a fixed odd prime number. Throughout this paper, Z p , Q p , and C p are, respectively, the ring of p-adic rational integers, the field of p-adic rational numbers, and the p-adic ...
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On the Symmetric Properties of Higher Order Twisted Euler Numbers and Polynomials
... 1. Introduction Let p be a fixed odd prime number. Throughout this paper, the symbols Z, Z p , Q p , C, and C p will denote the ring of rational integers, the ring of p-adic integers, the field of p-adic rational ...
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On the Twisted Analogs of the Generalized Euler Numbers and Polynomials of Higher Order
... 1. Introduction and Preliminaries Let p be an odd prime number. For n ∈ Z N ∪ {0}, let C p n {ζ | ζ p n 1} be the cyclic group of order p n , and let T p lim n → ∞ C p n n≥0 C p n C p ∞ be the space of locally ...
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Euler Numbers of Dichromatic Binary Images and the Inclusion Exclusion Property
... Index Terms— Euler number, dichromatic image, inclusion-exclusion principle. I. I NTRODUCTION The terminology used in the literature on color images differs from one source to another. In this paper we use ...
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19. The Fermat-Euler Prime Number Theorem
... pick x 2 in S different from x 1 and y 1 , and let y 2 be that number so that x 2 y 2 q amodp. Continue in this manner until all the numbers in S have been used. If a is a QR, then for some v, x v y v , ...
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A stringy test of the fate of the conifold
... real number, then a black hole state corresponding to the cycle C i +C j can appear or ...intersection numbers of the vanishing cycles of the Landau-Ginzburg singularity and the monodromy of the vanishing ...
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Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
... the Euler q-zeta functions,” Journal of Number Theory, ...q-Stirling numbers by the fermionic p-adic integral on Z p ,” Russian Journal of Mathematical Physics, ...
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