POWER-SERIES EVERYWHERE CONVERGENT ON R AND ALL QP

被引:6
作者
DRAGOVIC, BG
机构
关键词
D O I
10.1063/1.530189
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Power series are introduced that are simultaneously convergent for all real and all p-adic numbers. Our expansions are in some aspects similar to those of exponential, trigonometric, and hyperbolic functions. Starting from these series and using their factorial structure new and summable series with rational sums are obtained. For arguments x is-an-element-of Q adeles of series are constructed. Possible applications at the Planck scale are also considered.
引用
收藏
页码:1143 / 1148
页数:6
相关论文
共 31 条
[1]   QUANTUM AMPLITUDES ON P-ADIC FIELDS [J].
ALACOQUE, C ;
RUELLE, P ;
THIRAN, E ;
VERSTEGEN, D ;
WEYERS, J .
PHYSICS LETTERS B, 1988, 211 (1-2) :59-62
[2]   PARA-ADIC SUPERSTRINGS [J].
AREFEVA, IY ;
DRAGOVIC, BG ;
VOLOVICH, IV .
PHYSICS LETTERS B, 1988, 214 (03) :339-349
[3]   OPEN AND CLOSED PARA-ADIC STRINGS AND QUADRATIC EXTENSIONS OF NUMBER-FIELDS [J].
AREFEVA, IY ;
DRAGOVIC, BG ;
VOLOVICH, IV .
PHYSICS LETTERS B, 1988, 212 (03) :283-291
[4]   THE WAVE-FUNCTION OF THE UNIVERSE AND P-ADIC GRAVITY [J].
AREFEVA, IY ;
DRAGOVICH, B ;
FRAMPTON, PH ;
VOLOVICH, IV .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (24) :4341-4358
[5]   ON THE ADELIC STRING AMPLITUDES [J].
AREFEVA, IY ;
DRAGOVIC, BG ;
VOLOVICH, IV .
PHYSICS LETTERS B, 1988, 209 (04) :445-450
[6]   ON THE P-ADIC SUMMABILITY OF THE ANHARMONIC-OSCILLATOR [J].
AREFEVA, IY ;
DRAGOVIC, BG ;
VOLOVICH, IV .
PHYSICS LETTERS B, 1988, 200 (04) :512-514
[7]   P-ADIC STRING COMPACTIFIED ON A TORUS [J].
CHEKHOV, LO ;
ZINOVIEV, YM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 130 (03) :623-631
[8]   P-ADIC PERTURBATION-SERIES AND ADELIC SUMMABILITY [J].
DRAGOVIC, B .
PHYSICS LETTERS B, 1991, 256 (3-4) :392-396
[9]   CLASSICAL PARA-ADIC SPACE-TIME [J].
DRAGOVIC, BG ;
FRAMPTON, PH ;
UROSEVIC, BV .
MODERN PHYSICS LETTERS A, 1990, 5 (19) :1521-1528
[10]   ON SIGNATURE CHANGE IN P-ADIC SPACE-TIMES [J].
DRAGOVIC, BG .
MODERN PHYSICS LETTERS A, 1991, 6 (25) :2301-2307