P-adic analysis compared with real / by 376124 Katok, Svetlana

Subjects: “…p-adic analysis…”

A course in P-adic analysis / by 235456 Robert, Alain M.

Subjects: “…p-adic analysis…”

P-adic numbers, P-adic analysis and zeta-functions / by 465056 Koblitz, Neal

P-adic analysis : proceedings of the international conference held in Trento, Italy, May 29-June 2, 1989 / by Baldassarri, Francesco, Bosch, Siegfried, Dwork, Bernard M., Congress on "p-adic Analysis" (1989 : Trento, Italy)

Subjects: “…p-adic analysis…”

Modular Calabi-Yau manifolds, attractor points, and flux vacua by Kuusela, P

Subjects: “…p-adic analysis…”

p-adic automorphic forms on Shimura varieties / by 381708 Hida, Haruzo

Subjects:

p-adic BMO and VMO functions by Eugemiy I Zelenov

Subjects: “…p-adic analysis…”
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Estimation of Exponential Sums Using p-Adic Methods and Newton Polyhedron Technique by Yap, Hong Keat

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Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas by Nikolaj N Shamarov

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An Introduction to the Theory of Local Zeta Functions from Scratch by Edwin León-Cardenal, W. A. Zúñiga-Galindo

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Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents by Dung Kieu Huu, Thuy Pham Thi Kim

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P-adic modeling of the RTS index dynamics depending on the timeframes by Peter Mikhailovich Simonov, Sofya Alekseevna Filimonova

“…The article provides mathematical description of the p-adic analysis, which is considered to be determination of p-adic numbers and their representation in  space. …”
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Most odd degree hyperelliptic curves have only one rational point by Poonen, Bjorn, Stoll, Michael

“…The method can be summarized as follows: using p-adic analysis and an idea of McCallum, we develop a reformulation of Chabauty’s method that shows that certain computable conditions imply #C(Q)=1; on the other hand, using further p-adic analysis, the theory of arithmetic surfaces, a new result on torsion points on hyperelliptic curves, and crucially the Bhargava–Gross theorems on the average number and equidistribution of nonzero 2-Selmer group elements, we prove that these conditions are often satisfied for p=2.…”
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Cryptanalysis of the CLR-cryptosystem by Micheli, G, Weger, VW

“…Also, we describe a general vulnerability of the protocol using tools from p-adic analysis.…”

Coleman-Gross height pairings and the $p$-adic sigma function by Balakrishnan, J, Besser, A

“…The main ingredient is to extend the Coleman-Gross height to the case of divisors with non-disjoint support and, doing some $p$-adic analysis, show that, in particular, its component above $p$ gives, in the special case of an ordinary elliptic curve, the $p$-adic sigma function. …”

Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model by Mutlay Dogan

“…Here, we use the methods of p-adic analysis, and then, our results do not work in the real case.…”
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Semicircular elements induced by p-adic number fields by Ilwoo Cho, Palle E. T. Jorgensen

“…In this paper, we study semicircular-like elements, and semicircular elements induced by \(p\)-adic analysis, for each prime \(p\). Starting from a \(p\)-adic number field \(\mathbb{Q}_{p}\), we construct a Banach \(*\)-algebra \(\mathfrak{LS}_{p}\), for a fixed prime \(p\), and show the generating elements \(Q_{p,j}\) of \(\mathfrak{LS}_{p}\) form weighted-semicircular elements, and the corresponding scalar-multiples \(\Theta_{p,j}\) of \(Q_{p,j}\) become semicircular elements, for all \(j\in\mathbb{Z}\). …”
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Phase transition for the p-adic Ising–Vannimenus model on the Cayley tree by Mukhamedov, Farrukh, Dogan, Mutlay, Akin, Hasan

“…To prove the main result, we investigate a nonlinear recurrence equation via the methods of p-adic analysis. Note that the methods used in the paper are not valid in a real setting…”
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The least common multiple of consecutive terms in a cubic progression by Zongbing Lin, Shaofang Hong

“…Consequently, we use Hensel's lemma, develop a detailed $p$-adic analysis to $\mathcal{G}_{k, x^3+2}$ and particularly investigate arithmetic properties of the congruences $x^3+2\equiv 0 \pmod{p^e}$ and $x^6+108\equiv 0\pmod{p^e}$, and with more efforts, its smallest period is finally determined. …”
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