Неархимедовы меры, связанные с рядами Дирихле
М. М. Вишик

Эта публикация цитируется в следующих статьяx:

1. Katharina Müller, “Kato's main conjecture for potentially ordinary primes”, Glasgow Math. J., 2024, 1  
2. Takako Fukaya, Kazuya Kato, “On conjectures of Sharifi”, Kyoto J. Math., 64:2 (2024)  
3. Rob Rockwood, “Plus/minus p-adic L-functions for $\mathrm {GL}_{2n}$”, Ann. Math. Québec, 47:1 (2023), 177  
4. Masanori Asakura, Masataka Chida, François Brunault, “A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over ${\mathbb {Q}}$”, Res Math Sci, 10:1 (2023)  
5. Santiago Molina, “Extremal p-Adic L-Functions”, Mathematics, 9:3 (2021), 234  
6. Joël Bellaïche, Pathways in Mathematics, The Eigenbook, 2021, 153  
7. Daniel Barrera Salazar, “Overconvergent cohomology of Hilbert modular varieties and p-adic L-functions”, Annales de l'Institut Fourier, 68:5 (2018), 2177  
8. Kenichi Namikawa, “On p-adic L-function associated with cusp forms on $\mathrm{GL}_2$”, manuscripta math., 153:3-4 (2017), 563  
9. Florian Sprung, “On pairs of p-adic L-functions for weight-two modular forms”, Alg. Number Th., 11:4 (2017), 885  
10. M.M.. Nastasescu, “Determination of elliptic curves by their adjoint p-adic L-functions”, Journal of Number Theory, 2015    
11. Angelika Geroldinger, “
    $$p$$
    p -Adic automorphic
    $$L$$
    L -functions on
    $$\text {GL}(3)$$
    GL ( 3 )”, Ramanujan J, 2015    
12. DANIEL DELBOURGO, “EXCEPTIONAL ZEROES OF P-ADIC L-FUNCTIONS OVER NON-ABELIAN FIELD EXTENSIONS”, Glasgow Math. J, 2015, 1    
13. Marco De Ieso, “Espaces de fonctions de classe sur”, Indagationes Mathematicae, 2013    
14. Christopher Skinner, Eric Urban, “The Iwasawa Main Conjectures for GL2”, Invent. math, 2013      
15. Denis Benois, “Trivial zeros of -adic -functions at near-central points”, J. Inst. Math. Jussieu, 2013, 1    
16. Zifeng Yang, “On the characteristic p valued measure associated to Drinfeld discriminant”, Journal of Number Theory, 132:10 (2012), 2184      
17. Joël Bellaïche, “Critical p-adic L-functions”, Invent. math., 189:1 (2012), 1  
18. Jeehoon Park, Shahab Shahabi, “Plus/minus p-adic L-functions for Hilbert modular forms”, Journal of Algebra, 2011    
19. Benois D., “A Generalization of Greenberg's l-Invariant”, Am. J. Math., 133:6 (2011), 1573–1632        
20. Dabrowski A., “Bounded P-Adic l-Functions of Motives at Supersingular Primes”, C. R. Math., 349:7-8 (2011), 365–368      
21. Lei A., Loeffler D., Zerbes S.L., “Wach Modules and Iwasawa Theory for Modular Forms”, Asian J. Math., 14:4 (2010), 475–528        
22. Breuil Ch., Emerton M., “Ordinary P-Adic Representations of Gl(2)(Q(P)) and Local-Global Compatibility”, Asterisque, 2010, no. 331, 255–315      
23. Aribam Chandrakant Sharma, “Iwasawa invariants for the False–Tate extension and congruences between modular forms”, Journal of Number Theory, 129:8 (2009), 1893      
24. A. A. Panchishkin, “Triple products of Coleman’s families”, Journal of Mathematical Sciences (New York), 149:3 (2008), 1246      
25. A. A. Panchishkin, “The Maass–Shimura differential operators and congruences between arithmetical Siegel modular forms”, Mosc. Math. J., 5:4 (2005), 883–918        
26. Kato K., “P-Adic Hodge Theory and Values of Zeta Functions of Modular Forms”, Asterisque, 2004, no. 295, 117–290      
27. Colmez P., “The P-Adic Birch and Swinnerton-Dyer Conjecture”, Asterisque, 2004, no. 294, 251–319      
28. Thu L., “Integral Representation of P-Adic Functions”, Finite Or Infinite Dimensional Complex Analysis and Applications, Advances in Complex Analysis and its Applications, eds. Son L., Tutschke W., Yang C., Kluwer Academic Publishers, 2004, 169–179      
29. Datskovsky B. Guerzhoy P., “Searching for Kummer Congruences in an Infinite Slope Family”, Math. Comput., 73:246 (2004), 861–868        
30. A.A. Panchishkin, “Two variable p-adic L functions attached to eigenfamilies of positive slope”, Invent math, 154:3 (2003), 551          
31. Alexei Panchishkin, “Sur une condition suffisante pour l'existence de mesures p-adiques admissibles”, Journal de théorie des nombres de Bordeaux, 15:3 (2003), 805  
32. A. A. Panchishkin, “A new method of constructing $p$-adic $L$-functions associated with modular forms”, Mosc. Math. J., 2:2 (2002), 313–328          
33. Delbourgo D., “On the P-Adic Birch, Swinnerton-Dyer Conjecture for Non-Semistable Reduction”, J. Number Theory, 95:1 (2002), 38–71          
34. Delbourgo D., “L-Invariants Arising From Conjugate Measures of Sym(2)E”, Glasg. Math. J., 44:Part 1 (2002), 45–64        
35. Perrin-Riou B., “Some Remarks on the Iwasawa Theory of Elliptic Curves”, Number Theory for the Millennium III, eds. Bennett M., Berndt B., Boston N., Diamond H., Hildebrand A., Philipp W., A K Peters, Ltd, 2002, 119–147      
36. Dabrowski A., “On Admissible Distributions Attached to Convolutions of Hilbert Modular Forms”, Bull. Aust. Math. Soc., 64:1 (2001), 63–70        
37. Dummigan N., “Symmetric Square l-Functions and Shafarevich-Tate Groups”, Exp. Math., 10:3 (2001), 383–400        
38. Colmez P., “P-Adic l-Functions”, Asterisque, 2000, no. 266, 21–58      
39. Colmez P., “Iwasawa Theory for Rham Representations of a Local Body”, Ann. Math., 148:2 (1998), 485–571        
40. Delbourgo D., “Iwasawa Theory for Elliptic Curves at Unstable Primes”, Compos. Math., 113:2 (1998), 123–153        
41. Luo W., Ramakrishnan D., “Determination of Modular Forms by Twists of Critical l-Values”, Invent. Math., 130:2 (1997), 371–398        
42. Dabrowski A., Delbourgo D., “S-Adic l-Functions Attached to the Symmetric Square of a Newform”, Proc. London Math. Soc., 74:Part 3 (1997), 559–611          
43. Igor Potemine, “Espaces symétriques 𝔭-adiques, mesures 𝔭-adiques et transformations intégrales”, Séminaire de théorie spectrale et géométrie, 15 (1997), 59  
44. Heiko Knospe, “Iwasawa-theory of abelian varieties at primes of non-ordinary reduction”, Manuscripta Math, 87:1 (1995), 225  
45. Dabrowski A., “P-Adic l-Functions of Hilbert Modular-Forms”, Ann. Inst. Fourier, 44:4 (1994), 1025–1041        
46. Bernadette Perrin-Riou, “Th�orie d'Iwasawa des repr�sentationsp-adiques sur un corps local”, Invent Math, 115:1 (1994), 81  
47. Dombrowski A., “Admissible P-Adic l-Functions of Automorphic-Forms”, Vestn. Mosk. Univ. Seriya 1 Mat. Mekhanika, 1993, no. 2, 8–12      
48. Greenberg R., Stevens G., “P-Adic l-Functions and P-Adic Periods of Modular-Forms”, Invent. Math., 111:2 (1993), 407–447        
49. Jeremy Teitelbaum, The Arithmetic of Function Fields, 1992, 189  
50. Ми Винь Куанг, “Неархимедовы свертки Ранкина неограниченного роста”, Матем. сб., 182:2 (1991), 164–174        ; My Vinh Quang, “Non-Archimedean Rankin convolutions of unbounded growth”, Math. USSR-Sb., 72:1 (1992), 151–161    
51. Bernadette Perrin-Riou, “Théorie d'Iwasawap-adique locale et globale”, Invent math, 99:1 (1990), 247        
52. А. А. Панчишкин, “Свертки гильбертовых модулярных форм и их неархимедовы аналоги”, Матем. сб., 136(178):4(8) (1988), 574–587      ; A. A. Panchishkin, “Convolutions of Hilbert modular forms and their non-Archimedean analogues”, Math. USSR-Sb., 64:2 (1989), 571–584  
53. А. А. Панчишкин, “Неархимедовы $L$-функции Ранкина и их функциональные уравнения”, Изв. АН СССР. Сер. матем., 52:2 (1988), 336–354      ; A. A. Panchishkin, “Non-Archimedean Rankin $L$-functions and their functional equations”, Math. USSR-Izv., 32:2 (1989), 339–358  
54. Panchishkin A., “A Functional-Equation of the Non-Archimedian Rankin Convolution”, Duke Math. J., 54:1 (1987), 77–89          
55. B. Mazur, J. Tate, J. Teitelbaum, “Onp-adic analogues of the conjectures of Birch and Swinnerton-Dyer”, Invent math, 84:1 (1986), 1          
56. Schneider P., “Rigid-Analytic l - Transforms”, Lect. Notes in Math., 1068 (1984), 216–230        
57. Panchishkin A., “P-Adic l-Series of Rankin Type for the Higher Level”, Vestn. Mosk. Univ. Seriya 1 Mat. Mekhanika, 1982, no. 3, 65–68      
58. М. М. Вишик, “$\mathfrak p$-адическая дзета-функция мнимого квадратичного поля и регулятор Леопольдта”, Матем. сб., 102(144):2 (1977), 173–181      ; M. M. Vishik, “The $\mathfrak p$-adic zeta-fucntion of an imaginary quadratic field and the Leopoldt regualtor”, Math. USSR-Sb., 31:2 (1977), 151–158    
59. Ю. И. Манин, А. А. Панчишкин, “Свертки рядов Гекке и их значения в целых точках”, Матем. сб., 104(146):4(12) (1977), 617–651      ; Yu. I. Manin, A. A. Panchishkin, “Convolutions of Hecke series and their values at lattice points”, Math. USSR-Sb., 33:4 (1977), 539–571    
60. Neal Koblitz, Graduate Texts in Mathematics, 58, p-adic Numbers, p-adic Analysis, and Zeta-Functions, 1977, 21  
61. Ю. И. Манин, “Неархимедово интегрирование и $p$-адические $L$-функции Жаке–Ленглендса”, УМН, 31:1(187) (1976), 5–54      ; Yu. I. Manin, “Non-Archimedean integration and Jacquet–Langlands $p$-adic $L$-functions”, Russian Math. Surveys, 31:1 (1976), 5–57