نتایج جستجو برای: p adic q integral
تعداد نتایج: 1460996 فیلتر نتایج به سال:
Nick Andersen (University of California, Los Angeles) Kloosterman sums and Maass cusp forms of half-integral weight ABSTRACT: Kloosterman sums play an important role in modern analytic number theory. I will give a brief survey of what is known about the classical Kloosterman sums and their connection to Maass cusp forms of weight 0. I will then talk about recent progress toward bounding sums of...
An n-ary integral quadratic form is a formal expression Q(x1, · · · , xn) = ∑ 1≤i,j≤n aijxixj in nvariables x1, · · · , xn, where aij = aji ∈ Z. We present a randomized polynomial time algorithm that given a quadratic form Q(x1, · · · , xn), a prime p, and a positive integer k outputs a U ∈ GLn(Z/p Z) such that U transforms Q to its p-adic canonical form.
By using p-adic q-deformed fermonic integral on Zp, we define multiple the twisted (h,q)-Euler numbers of order α and polynomials of order α. After we obtain the multiplication formulae for the multiple twisted (h,q)-Euler polynomials. Also the multiple alternating sum obtained at the twisted (h,q)-Euler polynomials and the twisted (h,q)-Euler numbers. Mathematics Subject Classification: 05A10,...
Donnay et al. (2019) classified nonsingular quadratic forms Q with integral coefficients and prime numbers p such that the set of quotients values attained for integer arguments is dense in field p-adic numbers. The aim this note to give another proof classification.
Recently, Kim-Kim Introduced some interesting identities of symmetry for qBernoulli polynomials under symmetry group of degree n. In this paper, we study the degenerate q-Euler polynomials and derive some identities of symmetry for these polynomials arising from the p-adic q-integral on Zp. AMS subject classification: 11B68, 11S80, 05A19, 05A30.
In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted (h, q)-extension of Euler polynomials and numbers, by using p-adic q-deformed fermionic integral on Zp. By applying their generating functions, they derived the complete sums of products of the twisted (h, q)-extension of Euler polynomials and numbers, see[13, 14]. In this paper we cosider the new q-extension o...
In this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character χ . By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions of zeta functions and l-functions, which interpolate (h, q)-extensions of Euler numbers at negat...
Hensel [K. Hensel, Deutsch. Math. Verein, {6} (1897), 83-88.] discovered the $p$-adic number as a number theoretical analogue of power series in complex analysis. Fix a prime number $p$. for any nonzero rational number $x$, there exists a unique integer $n_x inmathbb{Z}$ such that $x = frac{a}{b}p^{n_x}$, where $a$ and $b$ are integers not divisible by $p$. Then $|x...
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