Found 2,078 Documents (Results 1–100)
Rough Hardy-Littlewood operators on \(p\)-adic function spaces with variable exponents. (English) Zbl 07918279
Splitting hypergeometric functions ove roots of unity. (English) Zbl 07914826
Reviewer: Uğur Duran (İskenderun)
Finiteness of analytic cohomology of Lubin-Tate \(( \varphi_L,\Gamma_L)\)-modules. (English) Zbl 07895025
Note on Coleman’s formula for the absolute Frobenius on Fermat curves. (Note sur la formule de Coleman pour la Frobenius absolue sur les courbes de Fermat.) (English. French summary) Zbl 07877211
Reviewer: Sami Omar (Sukhair)
Cullen numbers and Woodall numbers in generalized Fibonacci sequences. (English) Zbl 07865940
Reviewer: Mahadi Ddamulira (Kampala)
Formulas for \(p\)-adic \(q\)-integrals including falling-rising factorials, combinatorial sums and special numbers. (English) Zbl 07862421
The number of \(\mathbb{F}_q\)-points on diagonal hypersurfaces with monomial deformation. (English) Zbl 07842509
Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions. (English) Zbl 07841528
Rational points on rank 2 genus 2 bielliptic curves in the LMFDB. (English) Zbl 07840414
Cremona, John (ed.) et al., LuCaNT: LMFDB, computation, and number theory. Conference, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island, USA, July 10–14, 2023. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 796, 215-242 (2024).
Generating functions for polynomials derived from central moments involving Bernstein basis functions and their applications. (English) Zbl 1535.11166
Groups, graphs, and hypergraphs: average sizes of kernels of generic matrices with support constraints. (English) Zbl 1536.20006
Memoirs of the American Mathematical Society 1465. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6868-2/pbk; 978-1-4704-7753-0/ebook). v, 120 p. (2024).
Galois equivariant functions on Galois orbits in large \(p\)-adic fields. (English) Zbl 07828275
Reviewer: Patrick Erik Bradley (Karlsruhe)
Congruences for Hasse-Witt matrices and solutions of \(p\)-adic KZ equations. (English) Zbl 07826265
Factorial-type recurrence relations and \(p\)-adic incomplete gamma functions. (English) Zbl 07810305
Reviewer: Patrick Erik Bradley (Karlsruhe)
MSC:
11S80
Ghosts and congruences for \(p^s\)-approximations of hypergeometric periods. (English) Zbl 07793898
Reviewer: Tanguy Rivoal (Grenoble)
On the Exceptional Sets of \(p\)-adic Transcendental Analytic Functions. arXiv:2407.13015
Preprint, arXiv:2407.13015 [math.NT] (2024).
An explicit formula for the orbital integrals on the spherical Hecke algebra of \(\mathrm{GL}_3\). arXiv:2404.04666
Preprint, arXiv:2404.04666 [math.NT] (2024).
Algorithms for \(p\)-adic Heights on Hyperelliptic Curves of Arbitrary Reduction. arXiv:2402.00169
Preprint, arXiv:2402.00169 [math.NT] (2024).
On \(p\)-adic Hurwitz-type spectral zeta functions. arXiv:2401.12775
Preprint, arXiv:2401.12775 [math.NT] (2024).
Special values of \(p\)-adic \(L\)-functions and Iwasawa \(\lambda\)-invariants of Dirichlet characters. arXiv:2401.06100
Preprint, arXiv:2401.06100 [math.NT] (2024).
On the nonintegrality of certain generalized binomial sums. (English) Zbl 07856157
Reviewer: Toufik Mansour (Haifa)
On bijective functions of fixed variables in the Galois field of \(p^k\) elements and on the ring of \(p\)-adic integers for an odd prime number \(p\). (Russian. English summary) Zbl 1536.11187
Dwork-type congruences and \(p\)-adic KZ connection. (English) Zbl 1532.11164
Papadopoulos, Athanase (ed.), Essays in geometry. Dedicated to Norbert A’Campo. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 34, 781-812 (2023).
A note on \(q\)-analogue of Catalan numbers associated with \(q\)-Changhee numbers. (English) Zbl 1538.11065
On the bases of the image of 2-adic logarithm on the group of principal units. (English) Zbl 1525.11139
PIE: \(p\)-adic encoding for high-precision arithmetic in homomorphic encryption. (English) Zbl 07763073
Tibouchi, Mehdi (ed.) et al., Applied cryptography and network security. 21st international conference, ACNS 2023, Kyoto, Japan, June 19–22, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 13905, 425-450 (2023).
New \(p\)-adic hypergeometric functions and syntomic regulators. (English. French summary) Zbl 07750325
Reviewer: Riccardo Pengo (Hannover)
On the congruences of Eisenstein series with polynomial indexes. (English) Zbl 1539.11071
Reviewer: Ernst-Ulrich Gekeler (Saarbrücken)
Ideal growth in amalgamated powers of nilpotent rings of class two and zeta functions of quiver representations. (English) Zbl 1537.11119
Reviewer: Roma Kačinskaitė (Vilnius)
On \(p\)-adic interpolation in two of Mahler’s problems. (English) Zbl 1533.11133
Reviewer: Patrick Erik Bradley (Karlsruhe)
A new proof of some of Shintani’s formulas. (English) Zbl 1531.11110
Reviewer: Yilmaz Simsek (Antalya)
Rings generated by convergence sets of multidimensional complete field. (English. Russian original) Zbl 1529.11117
J. Math. Sci., New York 272, No. 3, 444-449 (2023); translation from Zap. Nauchn. Semin. POMI 500, 149-157 (2021).
Reviewer: Kevin Keating (Gainesville)
A note on \(p\)-adic Raabe formulas. (English) Zbl 1525.11140
Reviewer: Uğur Duran (İskenderun)
The Vladimirov-Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity. (English) Zbl 1512.35702
Generating functions for reciprocal Catalan-type sums: approach to linear differentiation equation and (\(p\)-adic) integral equations. (English) Zbl 1520.11097
Reviewer: Mouad Moutaoukil (Fès)
Vologodsky integration on curves with semi-stable reduction. (English) Zbl 1535.11165
Reviewer: Patrick Erik Bradley (Karlsruhe)
Sum expressions for \(p\)-adic Hecke \(L\)-functions of totally real fields. (English) Zbl 07674746
Reviewer: Diego Sulca (Córdoba)
On Iwasawa \(\lambda\)-invariants for abelian number fields and random matrix heuristics. (English) Zbl 07673305
Reviewer: Władysław Narkiewicz (Wrocław)
On the differential transcendentality of the Morita \(p\)-adic gamma function. (English) Zbl 1515.11116
Reviewer: Patrick Erik Bradley (Karlsruhe)
Derangements and the \(p\)-adic incomplete gamma function. (English) Zbl 1523.33009
Reviewer: Thomas Ernst (Uppsala)
On the existence of maximal spanning vectors in \(L^2( \mathbb{Q}_2)\) and \(L^2( \mathbb{F}_2((T)))\). (English) Zbl 1509.42038
Reviewer: Ghanshyam Bhatt (Nashville)
Novel Formulas for B-Splines, Bernstein Basis Functions and special numbers: Approach to Derivative and Functional Equations of Generating Functions. arXiv:2311.10124
Preprint, arXiv:2311.10124 [math.CA] (2023).
On a product formula of bivariate \(p\)-adic Gamma values. arXiv:2311.04805
Preprint, arXiv:2311.04805 [math.NT] (2023).
Coleman-Gross Heights and \(p\)-adic Néron Functions on Jacobians of Genus \(2\) Curves. arXiv:2310.15049
Preprint, arXiv:2310.15049 [math.NT] (2023).
Particles and \(p-\)adic integrals of Spin\(\left(\frac{1}{2}\right)\): spin Lie group, \(\mathcal{R}(\rho,q)-\)gamma and \(\mathcal{R}(\rho,q)-\) beta functions, ghost and applications. arXiv:2308.06363
Preprint, arXiv:2308.06363 [math.NT] (2023).
Frobenius structure on hypergeometric equations, p-adic polygamma values and p-adic L-values. arXiv:2307.08940
Preprint, arXiv:2307.08940 [math.NT] (2023).
Truncated second main theorem for non-Archimedean meromorphic maps. arXiv:2306.07594
Preprint, arXiv:2306.07594 [math.AG] (2023).
P-adic generalizations of hyper-elliptic functions. arXiv:2305.01460
Preprint, arXiv:2305.01460 [math.NT] (2023).
MSC:
11S80
Some identities on degenerate hyperbolic functions arising from \(p\)-adic integrals on \(\mathbb{Z}_p\). arXiv:2303.02295
Preprint, arXiv:2303.02295 [math.NT] (2023).
Derivation of computational formulas for certain class of finite sums: approach to generating functions arising from \(p\)-adic integrals and special functions. (English) Zbl 1538.05010
Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters. (English) Zbl 07780970
Reviewer: Yilmaz Simsek (Antalya)
Decompletion of cyclotomic perfectoid fields in positive characteristic. (Décomplétion de corps perfectoïdes cyclotomiques en caractéristique positive.) (English. French summary) Zbl 1522.11121
Ansätze for scattering amplitudes from \(p\)-adic numbers and algebraic geometry. (English) Zbl 1536.81130
Formulas and combinatorial identities for Catalan-type numbers and polynomials: their analysis with computational algorithms. (English) Zbl 1514.05020
Reviewer: Matthew C. Lettington (Cardiff)
Radon-Nikodym theorem with respect to \((\rho,q)\)-measure on \(\mathbb Z_p\). (English) Zbl 1528.11125
Some estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Herz spaces with rough kernels. (English) Zbl 1503.11144
Higher order degenerate Hermite-Bernoulli polynomials arising from \(p\)-adic integrals on \(\mathbb{Z}_p\). (English) Zbl 1499.11357
Graphs, local zeta functions, log-Coulomb gases, and phase transitions at finite temperature. (English) Zbl 1507.82026
Kummer-type congruences for the higher order Euler numbers and polynomials. (English) Zbl 1513.11077
New results on the \(p\)-adic valuation of Stirling numbers. (English) Zbl 1505.11036
Reviewer: Yilmaz Simsek (Antalya)
Congruence relations for \(p\)-adic hypergeometric functions \(\widehat{\mathscr{F}}_{a,\ldots,a}^{(\sigma)}(t)\) and its transformation formula. (English) Zbl 1523.33008
Note on \(\lambda\)-linear function arising from the \(p\)-adic Fermionic integral on \(\mathbb{Z}_p\). (English) Zbl 1504.11126
Study on some identities arising from higher order Changhee polynomials bases. (English) Zbl 1499.11109
Proof of some conjectural congruences involving Domb numbers and binary quadratic forms. (English) Zbl 1505.11008
Explicit Vologodsky integration for hyperelliptic curves. (English) Zbl 1518.11085
Reviewer: Yilmaz Simsek (Antalya)
Generalized hypergeometric arithmetic \(\mathscr{D}\)-modules under a \(p\)-adic non-Liouvilleness condition. (English) Zbl 1519.11067
Reviewer: Anatoly N. Kochubei (Kyïv)
Estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Morrey-Herz spaces. (English) Zbl 1506.45013
A determinant of the Artin-Hasse exponential coefficients. (English) Zbl 1500.11019
Reviewer: Toufik Mansour (Haifa)
Sum expressions for Kubota-Leopoldt \(p\)-adic \(L\)-functions. (English) Zbl 1512.11089
Reviewer: Sami Omar (Sukhair)
Generalized Volkenborn integrals associated with \(p\)-adic distributions and the Bernoulli numbers. (English) Zbl 1490.11113
Some identities and congruences for \(q\)-Stirling numbers of the second kind. (English) Zbl 1508.11034
Convergence sets of multidimensional local fields. (English. Russian original) Zbl 1505.11147
J. Math. Sci., New York 264, No. 1, 80-85 (2022); translation from Zap. Nauchn. Semin. POMI 492, 125-133 (2020).
Reviewer: Kevin Keating (Gainesville)
MSC:
11S80
Non-Archimedean electrostatics. (English) Zbl 1489.60009
Galindo, Carlos (ed.) et al., \(p\)-adic analysis, arithmetic and singularities. UIMP-RSME, Lluís A. Santaló summer school, Universidad Internacional Menéndez Pelayo, Santander, Spain, June 24–28, 2019. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 778, 279-311 (2022).
An introduction to \(p\)-adic and motivic integration, zeta functions and invariants of singularities. (English) Zbl 1503.14015
Galindo, Carlos (ed.) et al., \(p\)-adic analysis, arithmetic and singularities. UIMP-RSME, Lluís A. Santaló summer school, Universidad Internacional Menéndez Pelayo, Santander, Spain, June 24–28, 2019. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 778, 103-176 (2022).
Reviewer: Peter Petrov (Sofia)
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