Berger, Laurent; Rozensztajn, Sandra Super-Hölder vectors and the field of norms. (English) Zbl 07957551 Algebra Number Theory 19, No. 1, 195-211 (2025). MSC: 11S15 11S20 11S80 11S31 12J25 13J05 22E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thuy, P. T. K. Multilinear fractional Hardy operators on \(p\)-adic functional spaces with variable exponents. (English) Zbl 07972623 \(p\)-Adic Numbers Ultrametric Anal. Appl. 16, No. 4, 375-389 (2024). MSC: 42B30 46E30 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Sulakashna; Barman, Rupam \(p\)-Adic hypergeometric functions and the trace of Frobenius of elliptic curves. (English) Zbl 07957206 Int. J. Number Theory 20, No. 10, 2663-2694 (2024). MSC: 11G25 33E50 11S80 11T24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sulakashna; Barman, Rupam Number of \(\mathbb{F}_q\)-points on diagonal hypersurfaces and hypergeometric function. (English) Zbl 07957202 Int. J. Number Theory 20, No. 10, 2575-2589 (2024). MSC: 11G25 33E50 11S80 11T24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dung, K. H.; Thuy, P. T. K. Rough Hardy-Littlewood operators on \(p\)-adic function spaces with variable exponents. (English) Zbl 1547.42027 \(p\)-Adic Numbers Ultrametric Anal. Appl. 16, No. 3, 219-232 (2024). MSC: 42B20 46E30 11E95 11S80 46S10 × Cite Format Result Cite Review PDF Full Text: DOI
McCarthy, Dermot; Tripathi, Mohit Splitting hypergeometric functions over roots of unity. (English) Zbl 1548.11150 Res. Math. Sci. 11, No. 3, Paper No. 57, 26 p. (2024). Reviewer: Uğur Duran (İskenderun) MSC: 11T24 11S80 33E50 33C20 11F11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leventeli, Yasemin; Simsek, Yilmaz; Yilmazer, Ilyas Curve fitting for seismic waves of earthquake with Hermite polynomials. (English) Zbl 07894579 Publ. Inst. Math., Nouv. Sér. 115(129), 101-116 (2024). MSC: 33C45 05A15 86A15 86A17 86A60 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Kashio, Tomokazu 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 Ann. Inst. Fourier 74, No. 3, 1229-1250 (2024). Reviewer: Sami Omar (Sukhair) MSC: 11M35 11S80 14F30 14H45 14K20 14K22 33B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simsek, Yilmaz Formulas for \(p\)-adic \(q\)-integrals including falling-rising factorials, combinatorial sums and special numbers. (English) Zbl 1543.11106 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 92, 52 p. (2024). MSC: 11S80 11B68 05A15 05A19 11M35 30C15 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández-Sánchez, J.; Maghsoudi, S.; Rodríguez-Vidanes, D. L.; Seoane-Sepúlveda, J. B. Some properties of differentiable \(p\)-adic functions. (English) Zbl 07845672 Rev. Mat. Complut. 37, No. 2, 391-411 (2024). MSC: 46S10 46B87 11S80 26E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McCarthy, Dermot The number of \(\mathbb{F}_q\)-points on diagonal hypersurfaces with monomial deformation. (English) Zbl 07842509 Pac. J. Math. 328, No. 2, 339-359 (2024). MSC: 11G25 33E50 11S80 11T24 33C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sulakashna; Barman, Rupam Diagonal hypersurfaces and elliptic curves over finite fields and hypergeometric functions. (English) Zbl 07841528 Finite Fields Appl. 96, Article ID 102397, 30 p. (2024). MSC: 11G25 33E50 11S80 11T24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ceylan, Ayse Yilmaz; Simsek, Yilmaz Generating functions for polynomials derived from central moments involving Bernstein basis functions and their applications. (English) Zbl 1535.11166 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 57, 17 p. (2024). MSC: 11S80 11B68 05A15 05A19 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Lopez Perez, Aniel’; Cuellar Justiz, Oristela 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 Chebyshevskiĭ Sb. 24, No. 4(90), 191-205 (2023). MSC: 11S80 37P05 11S82 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Park, Jin-Woo On the degenerate multi-poly-Genocchi polynomials and numbers. (English) Zbl 1549.11072 Adv. Stud. Contemp. Math., Kyungshang 33, No. 2, 181-186 (2023). MSC: 11B83 11S80 33B30 × Cite Format Result Cite Review PDF Full Text: DOI
Asakura, Masanori New \(p\)-adic hypergeometric functions and syntomic regulators. (English. French summary) Zbl 1543.14015 J. Théor. Nombres Bordx. 35, No. 2, 393-451 (2023). Reviewer: Riccardo Pengo (Hannover) MSC: 14F30 19F27 11S80 19F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zanello, Fabrizio On the number of even values of an eta-quotient. (English) Zbl 1544.11089 Int. J. Number Theory 19, No. 9, 2255-2262 (2023). Reviewer: Mircea Merca (București) MSC: 11P83 05A17 11P82 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bauer, Tomer; Schein, Michael M. Ideal growth in amalgamated powers of nilpotent rings of class two and zeta functions of quiver representations. (English) Zbl 1537.11119 Bull. Lond. Math. Soc. 55, No. 3, 1511-1529 (2023). Reviewer: Roma Kačinskaitė (Vilnius) MSC: 11M41 11S80 20E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Paula Miranda, Bruno; Lelis, Jean On \(p\)-adic interpolation in two of Mahler’s problems. (English) Zbl 1533.11133 Bull. Aust. Math. Soc. 108, No. 1, 69-80 (2023). Reviewer: Patrick Erik Bradley (Karlsruhe) MSC: 11J61 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Hajli, Mounir A new proof of some of Shintani’s formulas. (English) Zbl 1531.11110 Kyoto J. Math. 63, No. 3, 501-516 (2023). Reviewer: Yilmaz Simsek (Antalya) MSC: 11S80 11M35 11M41 33E30 11B68 × Cite Format Result Cite Review PDF Full Text: DOI Link
Keith, William J.; Zanello, Fabrizio Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions. (English) Zbl 1525.11121 J. Number Theory 251, 84-101 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 05A17 11P84 11P82 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Min-Soo A note on \(p\)-adic Raabe formulas. (English) Zbl 1525.11140 Quaest. Math. 46, No. 3, 537-550 (2023). Reviewer: Uğur Duran (İskenderun) MSC: 11S80 11S40 × Cite Format Result Cite Review PDF Full Text: DOI
Takegahara, Y. 2-adic properties of the numbers of representations in wreath products. (English) Zbl 1538.20019 Acta Math. Hung. 169, No. 1, 15-56 (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 20D60 05A15 11S80 20E22 20K01 × Cite Format Result Cite Review PDF Full Text: DOI
Adamus, Elżbieta On the differential transcendentality of the Morita \(p\)-adic gamma function. (English) Zbl 1515.11116 Eur. J. Math. 9, No. 1, Paper No. 7, 8 p. (2023). Reviewer: Patrick Erik Bradley (Karlsruhe) MSC: 11S80 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
O’Desky, Andrew; Richman, David Harry Derangements and the \(p\)-adic incomplete gamma function. (English) Zbl 1523.33009 Trans. Am. Math. Soc. 376, No. 2, 1065-1087 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 33E50 11S80 33B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Victor J. W.; Liu, Ji-Cai; Schlosser, Michael J. An extension of a supercongruence of Long and Ramakrishna. (English) Zbl 1542.33006 Proc. Am. Math. Soc. 151, No. 3, 1157-1166 (2023). MSC: 33C20 33E50 11S80 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simsek, Yilmaz 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 Math. Methods Appl. Sci. 45, No. 16, 9520-9544 (2022). MSC: 05A15 11B68 11B73 11S40 11S80 33B15 33F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
O’Desky, Andrew; Richman, David Harry Derangements and the \(p\)-adic incomplete gamma function. (English) Zbl 1524.33090 Sémin. Lothar. Comb. 86B, Article 81, 10 p. (2022). MSC: 33E50 05A05 11S80 × Cite Format Result Cite Review PDF Full Text: Link
Li, Xiaojian; Reiter, Jay; Tang, Shiang; Wang, Napoleon; Yi, Jin \(p\)-adic incomplete gamma functions and Artin-Hasse-type series. (English) Zbl 1528.33025 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 4, 335-343 (2022). MSC: 33E50 33B20 05A05 11S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarfraz, Naqash; Aslam, Muhammad Some estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Herz spaces with rough kernels. (English) Zbl 1503.11144 Fract. Calc. Appl. Anal. 25, No. 4, 1734-1755 (2022). MSC: 11S80 45P05 42B20 42B25 42C40 42B35 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Seo, Jong Jin; Ryoo, Cheon Seoung Some identities for multiple \((h, p, q)\)-Hurwitz-Euler eta function. (English) Zbl 1513.11082 J. Appl. Math. Inform. 40, No. 5-6, 873-882 (2022). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Sulakashna; Barman, Rupam Certain transformations and values of \(p\)-adic hypergeometric functions. (English) Zbl 1523.33010 Res. Number Theory 8, No. 4, Paper No. 93, 14 p. (2022). MSC: 33E50 11S80 11T24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nikdelan, Younes Ramanujan-type systems of nonlinear ODEs for \(\Gamma_0 (2)\) and \(\Gamma_0 (3)\). (English) Zbl 1517.11032 Expo. Math. 40, No. 3, 409-431 (2022). MSC: 11F11 34A34 14J15 32M25 11F30 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Hye Kyung; Lee, Dae Sik Note on \(\lambda\)-linear function arising from the \(p\)-adic Fermionic integral on \(\mathbb{Z}_p\). (English) Zbl 1504.11126 Adv. Stud. Contemp. Math., Kyungshang 32, No. 2, 147-156 (2022). MSC: 11S80 11F20 11B68 11B83 × Cite Format Result Cite Review PDF
Mao, Guo-Shuai; Liu, Yan Proof of some conjectural congruences involving Domb numbers and binary quadratic forms. (English) Zbl 1505.11008 J. Math. Anal. Appl. 516, No. 1, Article ID 126493, 22 p. (2022). MSC: 11A07 11B65 11B68 11E16 11S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarfraz, Naqash; Aslam, Muhammad; Zaman, Mir; Jarad, Fahd Estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Morrey-Herz spaces. (English) Zbl 1506.45013 J. Inequal. Appl. 2022, Paper No. 92, 17 p. (2022). MSC: 45P05 26D15 11S80 26A33 26D10 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Diarra, Bertin; Maïga, Hamadoun; Mounkoro, Tongobé Some identities and congruences for \(q\)-Stirling numbers of the second kind. (English) Zbl 1508.11034 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 2, 85-102 (2022). MSC: 11B73 11S80 11A07 × Cite Format Result Cite Review PDF Full Text: DOI
Viu-Sos, Juan 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) MSC: 14E18 14G10 14B05 11S80 32S40 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, B. R. Srivatsa; Shruthi, Shruthi; Gowtham, Halgar J. Some new congruence identities of general partition for \(p_r(n)\). (English) Zbl 1535.11148 J. Sib. Fed. Univ., Math. Phys. 15, No. 1, 75-79 (2022). MSC: 11P83 05A17 05A30 11P82 11F33 11P81 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Yalcin, Fusun; Simsek, Yilmaz Formulas for characteristic function and moment generating functions of beta type distribution. (English) Zbl 1493.62258 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 86, 14 p. (2022). MSC: 62G30 05A15 11B73 11B83 11S80 26C05 42A61 60E05 60E10 62E15 × Cite Format Result Cite Review PDF Full Text: DOI
Keith, William J.; Zanello, Fabrizio Parity of the coefficients of certain eta-quotients. (English) Zbl 1491.11096 J. Number Theory 235, 275-304 (2022). Reviewer: Victor Wang (Princeton) MSC: 11P83 05A17 11P84 11P82 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kwon, Jongkyum; Park, Jin-Woo; Yun, Sang Jo Some identities of the poly-Changhee and unipoly Changhee polynomials. (English) Zbl 1492.11043 Adv. Stud. Contemp. Math., Kyungshang 31, No. 4, 471-484 (2021). MSC: 11B68 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Construction of generalized Leibnitz type numbers and their properties. (English) Zbl 1499.05049 Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 311-323 (2021). MSC: 05A15 11B65 11B68 11B83 11S80 26C05 33B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarfraz, Naqash; Aslam, Muhammad Some weighted estimates for the commutators of \(p\)-adic Hardy operator on two weighted \(p\)-adic Herz-type spaces. (English) Zbl 1525.42028 AIMS Math. 6, No. 9, 9633-9646 (2021). MSC: 42B35 42B25 42B20 11S80 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Boussaf, Kamal; Escassut, Alain Growth of analytic functions in an ultrametric open disk and branched values. (English) Zbl 1486.30126 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 2, 179-194 (2021). MSC: 30G06 30D35 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Hussain, Amjad; Sarfraz, Naqash; Khan, Ilyas; Alsubie, Abdelaziz; Hamadneh, Nawaf N. The boundedness of commutators of rough \(p\)-adic fractional Hardy type operators on Herz-type spaces. (English) Zbl 1504.42078 J. Inequal. Appl. 2021, Paper No. 123, 13 p. (2021). MSC: 42B35 42B25 42B20 11S80 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Ji Eun; Kim, Ahyun Multiplication formula and \((w, q)\)-alternating power sums of twisted \(q\)-Euler polynomials of the second kind. (English) Zbl 1499.11099 J. Appl. Math. Inform. 39, No. 3-4, 455-467 (2021). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Jana, Arijit; Kalita, Gautam On some conjectural supercongruences for sums involving certain rising factorials. (English) Zbl 1472.11016 Result. Math. 76, No. 3, Paper No. 155, 14 p. (2021). MSC: 11A07 11B65 11S80 33B15 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Alp, Necmettin; SarıKaya, M. Zeki \(\overline{q}\)-gamma-beta functions on quantum integral. (English) Zbl 1467.33001 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 28, No. 1, 37-49 (2021). MSC: 33B20 11S80 45P05 × Cite Format Result Cite Review PDF Full Text: Link
Chetry, Arjun Singh; Jana, Arijit; Kalita, Gautam Proof of a supercongruence conjecture of He. (English) Zbl 1472.11010 Res. Number Theory 7, No. 2, Paper No. 21, 8 p. (2021). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11A07 11S80 33B15 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. (English) Zbl 1473.11055 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 66, 14 p. (2021). MSC: 11B68 11B73 05A15 11S40 11S80 33B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Yi Wen A note on critical \(p\)-adic \(L\)-functions. (English) Zbl 1470.11120 Acta Math. Sin., Engl. Ser. 37, No. 1, 121-141 (2021). MSC: 11F67 11S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takegahara, Yugen 2-adic properties for the numbers of representations in the alternating groups. (English) Zbl 1458.05020 Monatsh. Math. 194, No. 2, 339-370 (2021). MSC: 05A15 11S80 20B30 20D06 20D60 20K01 20K30 × Cite Format Result Cite Review PDF Full Text: DOI
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yilmaz New classes of Catalan-type numbers and polynomials with their applications related to \(p\)-adic integrals and computational algorithms. (English) Zbl 1493.05020 Turk. J. Math. 44, No. 6, 2337-2355 (2020). MSC: 05A15 05A19 11B37 11B68 11S80 30E20 34A99 35A99 68W01 × Cite Format Result Cite Review PDF Full Text: DOI
Kwon, Jongkyum; Jang, Lee-Chae A note on the type 2 poly-Apostol-Bernoulli polynomials. (English) Zbl 1499.11120 Adv. Stud. Contemp. Math., Kyungshang 30, No. 2, 253-262 (2020). MSC: 11B68 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Kurt, Burak Notes on the poly-Korobov polynomials and related polynomials. (English) Zbl 1499.11117 Filomat 34, No. 2, 469-474 (2020). MSC: 11B68 11B73 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Min-Soo Generalized Euler power series. (English) Zbl 1499.11110 J. Appl. Math. Inform. 38, No. 5-6, 591-600 (2020). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
So, Ji Suk; Simsek, Yilmaz Derivation of computational formulas for Changhee polynomials and their functional and differential equations. (English) Zbl 1503.11050 J. Inequal. Appl. 2020, Paper No. 149, 22 p. (2020). MSC: 11B68 11B73 11S80 05A15 05A10 × Cite Format Result Cite Review PDF Full Text: DOI
Ryoo, C. S. Symmetric properties for generalized \((p,q)\)-Euler zeta function and \((p,q)\)-Euler polynomials. (English) Zbl 1476.11058 J. Algebra Appl. Math. 18, No. 1, 57-71 (2020). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF
Barman, Rupam; Saikia, Neelam Summation identities and transformations for hypergeometric series. II. (English) Zbl 1495.11140 Funct. Approximatio, Comment. Math. 63, No. 1, 7-42 (2020). MSC: 11T24 33E50 33C99 11S80 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Escassut, A. A new proof of the ultrametric Hermite-Lindermann theorem [A new proof of the ultrametric Hermite-Lindemann theorem]. (English) Zbl 1460.11102 \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 4, 333-336 (2020). MSC: 11J61 11J81 30G06 30H80 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Cao, Ruyue; Fang, Chengcheng; Cao, Wei \(p\)-adic hypergeometric functions and rational points on Dwork hypersurfaces. (Chinese. English summary) Zbl 1463.11153 Acta Math. Sin., Chin. Ser. 63, No. 3, 253-260 (2020). MSC: 11S80 33C20 11T24 14J70 × Cite Format Result Cite Review PDF
Wu, Bo The 2-adic derivatives and fractal dimension of Takagi-like function on 2-series field. (English) Zbl 1474.28015 Fract. Calc. Appl. Anal. 23, No. 3, 875-885 (2020). MSC: 28A80 11S80 46S10 47G30 × Cite Format Result Cite Review PDF Full Text: DOI
Saikia, Neelam Zeros of \(p\)-adic hypergeometric functions, \(p\)-adic analogues of Kummer’s and Pfaff’s identities. (English) Zbl 1453.11156 Pac. J. Math. 307, No. 2, 491-510 (2020). Reviewer: Yilmaz Simsek (Antalya) MSC: 11S80 11T24 33C20 33C99 33E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balakrishnan, Jennifer S.; Tuitman, Jan Explicit Coleman integration for curves. (English) Zbl 1460.30015 Math. Comput. 89, No. 326, 2965-2984 (2020). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 30G06 11S80 11Y35 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pujahari, Sudhir; Saikia, Neelam Traces of Hecke operators in level 1 and \(p\)-adic hypergeometric functions. (English) Zbl 1465.11108 Ramanujan J. 52, No. 3, 519-539 (2020). MSC: 11F30 11G20 33E50 11T24 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Gouvêa, Fernando Q. \(p\)-adic numbers. An introduction. 3rd corrected and expanded edition. (English) Zbl 1436.11001 Universitext. Cham: Springer (ISBN 978-3-030-47294-8/pbk; 978-3-030-47295-5/ebook). vi, 373 p. (2020). MSC: 11-01 11Sxx 12J25 11S80 26E30 30G06 × Cite Format Result Cite Review PDF Full Text: DOI
Khrennikov, Andrei Yu.; Kochubei, Anatoly N. On the \(p\)-adic Navier-Stokes equation. (English) Zbl 1446.35277 Appl. Anal. 99, No. 8, 1425-1435 (2020). MSC: 35S10 11S80 30G06 35Q30 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barman, Rupam; Saikia, Neelam Supercongruences for truncated hypergeometric series and \(p\)-adic gamma function. (English) Zbl 1509.11003 Math. Proc. Camb. Philos. Soc. 168, No. 1, 171-195 (2020). MSC: 11A07 11S80 33C20 33E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kochubei, Anatoly N. Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field. (English) Zbl 1427.35384 J. Math. Anal. Appl. 483, No. 1, Article ID 123609, 11 p. (2020). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 35S05 32P05 30G06 11S80 46S10 47S10 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duran, Ugur; Acikgoz, Mehmet The Boole polynomials associated with the \(p\)-adic gamma function. (English) Zbl 1478.11025 Publ. Inst. Math., Nouv. Sér. 106(120), 105-112 (2019). MSC: 11B65 11B73 11S80 33B15 05A10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Duran, Uğur; Açikgöz, Mehmet On \(p\)-adic gamma function related to \(q\)-Daehee polynomials and numbers. (English) Zbl 1451.05010 Proyecciones 38, No. 4, 799-810 (2019). MSC: 05A10 05A30 11B65 11S80 33B15 × Cite Format Result Cite Review PDF Full Text: DOI
Alharbi, Nof; Kammoun, Rania; Ozel, Cenap \(p\)-adic zeroes of the Kubota-Leopoldt zeta-function. (English) Zbl 1440.11220 \(p\)-Adic Numbers Ultrametric Anal. Appl. 11, No. 4, 255-269 (2019). MSC: 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Escassut, Alain Survey on the Kakutani problem in \(p\)-adic analysis. I. (English) Zbl 1449.12002 Sarajevo J. Math. 15(28), No. 2, 245-263 (2019). MSC: 12J25 30G06 46S10 × Cite Format Result Cite Review PDF
Simsek, Yilmaz Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. (English) Zbl 1453.11033 Math. Methods Appl. Sci. 42, No. 18, 7030-7046 (2019). MSC: 11B65 11S80 11B68 11B73 05A10 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Hwang, Kyung-Won; Ryoo, Cheon Seoung Some symmetric identities for the multiple (\(p\), \(q\))-Hurwitz-Euler eta function. (English) Zbl 1425.11037 Symmetry 11, No. 5, Paper No. 645, 14 p. (2019). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Duran, Ugur; Araci, Serkan; Acikgoz, Mehmet A note on \(q\)-Fubini polynomials. (English) Zbl 1438.11067 Adv. Stud. Contemp. Math., Kyungshang 29, No. 2, 211-224 (2019). MSC: 11B83 11B73 11S80 05A19 × Cite Format Result Cite Review PDF
Ryoo, Cheon Seoung Some identities for \((p, q)\)-Hurwitz zeta function. (English) Zbl 1438.11053 J. Appl. Math. Inform. 37, No. 1-2, 97-103 (2019). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Bo; Khrennikov, Andrei \(p\)-adic analogue of the wave equation. (English) Zbl 1473.35674 J. Fourier Anal. Appl. 25, No. 5, 2447-2462 (2019). MSC: 35S10 30G06 35R11 46S10 11D88 11S80 12H25 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, H. M.; Jolly, Nidhi; Bansal, Manish Kumar; Jain, Rashmi A new integral transform associated with the \(\lambda \)-extended Hurwitz-Lerch zeta function. (English) Zbl 1439.11230 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 1679-1692 (2019). MSC: 11M35 11B68 33C60 11S80 33E20 44A40 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach. (English) Zbl 1429.11046 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 931-948 (2019). MSC: 11B68 11B73 11S80 05A15 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Takegahara, Yugen \(p\)-adic estimates of the number of permutation representations. (English) Zbl 1503.11145 Adv. Math. 349, 367-425 (2019). MSC: 11S80 05A15 05A18 20B30 20K01 20K27 × Cite Format Result Cite Review PDF Full Text: DOI
Kucukoğlu, Irem; Simsek, Yilmaz; Srivastava, H. M. A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. (English) Zbl 1446.11038 Quaest. Math. 42, No. 4, 465-478 (2019). MSC: 11B68 11S40 11S80 33E20 26C05 30B40 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
Duran, Ugur; Acikgoz, Mehmet On applications for Mahler expansion associated with \(p\)-adic \(q\)-integrals. (English) Zbl 1405.05016 Int. J. Number Theory 15, No. 1, 67-84 (2019). MSC: 05A30 05A10 11B68 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Şimşek, Yılmaz Combinatorial sums and binomial identities associated with the beta-type polynomials. (English) Zbl 1488.05014 Hacet. J. Math. Stat. 47, No. 5, 1144-1155 (2018). MSC: 05A15 11B68 11S80 26C05 26C10 30C15 43A40 × Cite Format Result Cite Review PDF Full Text: Link
Havare, Özge Çolakoğlu; Menken, Hamza A note on the \(p\)-adic gamma function and \(q\)-Changhee polynomials. (English) Zbl 1427.11136 J. Math. Comput. Sci., JMCS 18, No. 1, 11-17 (2018). MSC: 11S80 33E50 05A19 26C05 11S05 × Cite Format Result Cite Review PDF Full Text: DOI
Ryoo, Cheon Seoung Symmetric identities for \((P,Q)\)-analogue of tangent zeta function. (English) Zbl 1423.11058 Symmetry 10, No. 9, Paper No. 395, 12 p. (2018). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Maïga, Hamadoun Congruences and identities for some second-order linear homogeneous recurrent sequences. (English) Zbl 1423.11040 Afr. Math. Ann. (AFMA) 7, 137-162 (2018). MSC: 11B50 11B37 11S80 × Cite Format Result Cite Review PDF
Volosivets, S. S.; Kuznetsova, M. A. Generalized \(p\)-adic Fourier transform and estimates of integral modulus of continuity in terms of this transform. (English) Zbl 1432.30033 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 312-321 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 30G06 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Şimşek, Yılmaz Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integrals. (English) Zbl 1438.11056 Turk. J. Math. 42, No. 2, 557-577 (2018). MSC: 11B68 11B73 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Simsek, Yilmaz Generating functions for unification of the multidimensional Bernstein polynomials and their applications. (English) Zbl 1433.11024 Math. Methods Appl. Sci. 41, No. 17, 7170-7181 (2018). MSC: 11B75 11B68 11B73 05A15 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Sattarov, Iskandar A. Ergodicity properties of \(p\)-adic \((2,1)\)-rational dynamical systems with unique fixed point. (English) Zbl 1409.30043 Ibragimov, Zair (ed.) et al., Algebra, complex analysis, and pluripotential theory. 2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017. Cham: Springer. Springer Proc. Math. Stat. 264, 217-226 (2018). MSC: 30G06 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, A Hyun; An, Chae Kyeong; Lee, Hui Young Symmetric identities involving the modified \((p,q)\)-Hurwitz Euler zeta function. (English) Zbl 1441.11036 J. Appl. Math. Inform. 36, No. 5-6, 555-565 (2018). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Min-Soo On \(p\)-adic Euler \(L\)-function of two variables. (English) Zbl 1442.11043 J. Appl. Math. Inform. 36, No. 5-6, 369-379 (2018). MSC: 11B68 11S40 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Barman, Rupam; Saikia, Neelam Summation identities and transformations for hypergeometric series. (English. French summary) Zbl 1451.11053 Ann. Math. Qué. 42, No. 2, 133-157 (2018). MSC: 11G20 33E50 11T24 33C99 11S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Taekyun; Jang, Gwan-Woo A note on degenerate gamma function and degenerate Stirling number of the second kind. (English) Zbl 1425.33003 Adv. Stud. Contemp. Math., Kyungshang 28, No. 2, 207-214 (2018). MSC: 33B15 11B73 11S80 × Cite Format Result Cite Review PDF
Judge, Samuel D.; Keith, William J.; Zanello, Fabrizio On the density of the odd values of the partition function. (English) Zbl 1440.11195 Ann. Comb. 22, No. 3, 583-600 (2018). MSC: 11P83 05A17 11P84 11P82 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cluckers, Raf; Halupczok, Immanuel; Loeser, François; Raibaut, Michel Distributions and wave front sets in the uniform non-archimedean setting. (English) Zbl 1409.35010 Trans. Lond. Math. Soc. 5, No. 1, 97-131 (2018). Reviewer: Peter Petrov (Maceio) MSC: 35A18 14E18 11S80 03C10 11U09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tauraso, Roberto Supercongruences related to \({}_3F_2(1)\) involving harmonic numbers. (English) Zbl 1421.11008 Int. J. Number Theory 14, No. 4, 1093-1109 (2018). MSC: 11A07 11B65 33C20 33B15 11S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barman, Rupam; Saikia, Neelam Certain character sums and hypergeometric series. (English) Zbl 1442.11162 Pac. J. Math. 295, No. 2, 271-289 (2018). MSC: 11S80 11T24 33E50 33C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv