On p-Adic Approximation of Sums of Binomial Coefficients

被引：0

作者：

Aidagulov R.R. ^{[1
]}

Alekseyev M.A. ^{[2
]}

机构：

[1] Moscow State University, Moscow

[2] George Washington University, Ashburn, VA

来源：

Journal of Mathematical Sciences | 2018年 / 233卷 / 5期

关键词：

D O I：

10.1007/s10958-018-3948-0

中图分类号：

学科分类号：

摘要：

We propose higher-order generalizations of Jacobsthal’s p-adic approximation for binomial coefficients. Our results imply explicit formulas for linear combinations of binomial coefficients (ipp)(i=12…). © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：626 / 634

页数：8

共 50 条

[1] The p-Adic Valuations of Sums of Binomial Coefficients
Zhang, Yong
Yuan, Peisen
[J]. JOURNAL OF MATHEMATICS, 2021, 2021
[2] On the rate of p-adic convergence of sums of powers of binomial coefficients
Lengyel, Tamas
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (08) : 2075 - 2091
[3] On the p-Adic Properties of 2-Sected Sums Involving Binomial Coefficients
Lengyel, T.
[J]. P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2023, 15 (01) : 23 - 47
[4] BINOMIAL COEFFICIENTS AND THE RING OF p-ADIC INTEGERS
Sun, Zhi-Wei
Zhang, Wei
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (05) : 1569 - 1577
[5] P-ADIC CONGRUENCES BETWEEN BINOMIAL COEFFICIENTS
GIAMBALVO, V
MINES, R
PENGELLEY, DJ
[J]. FIBONACCI QUARTERLY, 1991, 29 (02): : 114 - 119
[6] P-ADIC BINOMIAL COEFFICIENTS MOD-P
ALPERIN, RC
[J]. AMERICAN MATHEMATICAL MONTHLY, 1985, 92 (08): : 576 - 578
[7] p-adic valuations of some sums of multinomial coefficients
Sun, Zhi-Wei
[J]. ACTA ARITHMETICA, 2011, 148 (01) : 63 - 76
[8] P-ADIC APPROXIMATION OF DEDEKIND SUMS IN FUNCTION FIELDS
Hamahata, Yoshinori
[J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2021, 65 (02) : 199 - 210
[9] The p-adic valuation of k-central binomial coefficients
Straub, Armin
Moll, Victor H.
Amdeberhan, Tewodros
[J]. ACTA ARITHMETICA, 2009, 140 (01) : 31 - 42
[10] P-ADIC DEDEKIND SUMS
ROSEN, KH
SNYDER, WM
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1985, 361 : 23 - 26

← 1 2 3 4 5 →