Generating functions and congruences for some partition functions related to mock theta functions

Baruah Nayandeep Deka; Begum Nilufar Mana

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Generating functions and congruences for some partition functions related to mock theta functions

机译：为与模拟theta函数相关的某些分区函数生成函数和全等

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Recently, Andrews, Dixit and Yee introduced partition functions associated with Ramanujan/Watson third-order mock theta functions omega(q) and nu(q). In this paper, we find several new exact generating functions for those partition functions as well as the associated smallest part functions and deduce several new congruences modulo powers of 5.

机译：最近，Andrews，Dixit和Yee引入了与Ramanujan / Watson三阶模拟theta函数omega（q）和nu（q）相关的分区函数。在本文中，我们为这些分区函数以及相关的最小部分函数找到了几个新的精确生成函数，并推导了数为5的新同余模余幂。

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来源
《International Journal of Number Theory》 |2020年第2期|423-446|共24页
作者
Baruah Nayandeep Deka; Begum Nilufar Mana;
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作者单位

Tezpur Univ Dept Math Sci Sonitpur 784028 Assam India;

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原文格式 PDF
正文语种 eng
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关键词
Partition; partition congruence; smallest parts function; mock theta function; generating function;

机译：划分;分区一致性最小零件功能模拟theta函数;产生功能;

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专利

1. Congruences for partition functions related to mock theta functions [J] . Chern Shane, Hao Li-Jun The Ramanujan journal . 2019,第2期

机译：与模拟函数相关的分区函数的同时
2. Congruences for some partitions related to mock theta functions [J] . Cui Su-Ping, Gu Nancy S. S., Hao Li-Jun International Journal of Number Theory . 2018,第4期

机译：与模拟theta函数相关的某些分区的同余
3. Identities for Partitions Generated by the Unsigned Versions of Some Mock Theta Functions [J] . Bagatini A., Matte M. L., Wagner A. Bulletin of the Brazilian Mathematical Society . 2017,第3期

机译：由某些模拟函数的无符号版本生成的分区的标识
4. A Mock Theta Function for theDelta-function [C] . Ken Ono Integers Conference . 2009

机译：TheDelta函数的模拟职能
5. Quantum modular forms, mock modular forms, and partial theta functions. [D] . Kimport, Susanna. 2015

机译：量子模块化形式，模拟模块化形式和部分theta函数。
6. Inaugural Article: Partitions with short sequences and mock theta functions [O] . George E. Andrews 2005

机译：开篇文章：具有短序列和模拟theta函数的分区
7. Congruences for partition functions related to mock theta functions [O] . Chern, Shane, Hao, Li-Jun 2017

机译：与模拟theta函数相关的分区函数的同义词

Generating functions and congruences for some partition functions related to mock theta functions

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