A unified proof of Ramanujan-type congruences modulo 5 for 4-colored generalized Frobenius partitions

被引：5

作者：

Wang, Chun ^{[1
]}

Zhang, Wenlong ^{[2
]}

机构：

[1] East China Normal Univ, Dept Math, 500 Dongchuan Rd, Shanghai 200241, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 447卷 / 01期

关键词：

Ramanujan-type congruence; Generalized Frobenius partitions; Jacobi's triple product identity; Eisenstein series; 6; COLORS; ANDREWS;

D O I：

10.1016/j.jmaa.2016.10.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：542 / 549

页数：8

共 44 条

[1] A Ramanujan-type congruence modulo 5 for 4-colored generalized Frobenius partitions
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[J]. The Ramanujan Journal, 2016, 39 : 567 - 576
[2] A Ramanujan-type congruence modulo 5 for 4-colored generalized Frobenius partitions
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[J]. RAMANUJAN JOURNAL, 2016, 39 (03): : 567 - 576
[3] An unexpected Ramanujan-type congruence modulo 7 for 4-colored generalized Frobenius partitions
Wenlong Zhang
Chun Wang
[J]. The Ramanujan Journal, 2017, 44 : 125 - 131
[4] An unexpected Ramanujan-type congruence modulo 7 for 4-colored generalized Frobenius partitions
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Wang, Chun
[J]. RAMANUJAN JOURNAL, 2017, 44 (01): : 125 - 131
[5] CONGRUENCES MODULO 5 AND 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS
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[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 103 (02) : 157 - 176
[6] NEW RAMANUJAN TYPE CONGRUENCE MODULO 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS
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[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (03) : 637 - 639
[7] Ramanujan-type congruences for three colored Frobenius partitions
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[J]. JOURNAL OF NUMBER THEORY, 2000, 85 (02) : 283 - 290
[8] Infinitely many congruences modulo 5 for 4-colored Frobenius partitions
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[J]. RAMANUJAN JOURNAL, 2016, 40 (01): : 193 - 200
[9] Infinitely many congruences modulo 5 for 4-colored Frobenius partitions
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James A. Sellers
[J]. The Ramanujan Journal, 2016, 40 : 193 - 200
[10] Ramanujan-type congruences modulo 4 for partitions into distinct parts
Merca, Mircea
[J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2022, 30 (03): : 185 - 199

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