Concepedia

P-adic Measures

P-Adic Measures is a mathematical construct in number theory that assigns values in a p-adic field to certain sets in a way that generalizes the notion of integration with respect to a measure, specifically designed to encode arithmetic information through continuous linear functionals on spaces of continuous functions over p-adic integers.

116

Publications

3.9K

Citations

121

Authors

89

Institutions

Publications per year

2017–2026

7

Parents

Publications

116

Algebras of p-adic distributions and admissible representations

2003 · 203 citations

, , +8

Algebras of p-adic distributions and admissible representations

Inventiones mathematicae · 2003 · 144 citations · Full text

, , +8

Ap-adic measure attached to the zeta functions associated with two elliptic modular forms. I

Haruzo Hida · Inventiones mathematicae · 1985 · 119 citations

, , +5

Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on ℤ p

T. Kim · Russian Journal of Mathematical Physics · 2009 · 113 citations

, , +10

Generalized functions over the field of<i>p</i>-adic numbers

Vasilii S Vladimirov · Russian Mathematical Surveys · 1988 · 109 citations

, , +16

1–5 of 116

Authors

121

  1. FM
    Farrukh Mukhamedov

    International Islamic University Malaysia, Malaysia

    11 publications · 395 citations

    11

    h-index

  2. AK
    Andrew Khrennikov

    Ruhr University Bochum, Germany

    6 publications · 155 citations

    6

    h-index

  3. AK
    Andrei Khrennikov

    Växjö Kommun, Sweden

    5 publications · 150 citations

    5

    h-index

  4. OK
    Otabek Khakimov

    United Arab Emirates University, United Arab Emirates

    5 publications · 102 citations

    5

    h-index

  5. UA
    U. A. Rozikov

    National University of Uzbekistan, Uzbekistan

    5 publications · 225 citations

    5

    h-index

1–5 of 121

Institutions

89

  1. International Islamic University Malaysia

    Kuala Lumpur, Malaysia

    10 h-index

    12 publications

    282 citations

  2. Ruhr University Bochum

    Bochum, Germany

    4 h-index

    5 publications

    156 citations

  3. National University of Uzbekistan

    Tashkent, Uzbekistan

    4 h-index

    5 publications

    239 citations

  4. Tata Institute of Fundamental Research

    Mumbai, India

    4 h-index

    5 publications

    95 citations

  5. University of Ioannina

    Ioannina, Greece

    3 h-index

    3 publications

    46 citations

  6. Kyungpook National University

    Daegu, South Korea

    3 h-index

    4 publications

    63 citations

  7. University of Genoa

    Genoa, Italy

    3 h-index

    5 publications

    198 citations

  8. University of Wrocław

    Wroclaw, Poland

    2 h-index

    2 publications

    126 citations

1–8 of 89

Venues

  1. 6

    h-index

  2. Inventiones mathematicae

    6 publications · 407 citations

    6

    h-index

  3. arXiv (Cornell University)

    Repository · 4 publications · 120 citations

    4

    h-index

  4. Journal of Statistical Mechanics Theory and Experiment

    JSTAT · 4 publications · 105 citations

    4

    h-index

  5. Theoretical and Mathematical Physics

    3 publications · 71 citations

    3

    h-index

1–5