Journal articles on the topic 'Congruences Modulo'
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ROSEN, JULIAN. "MULTIPLE HARMONIC SUMS AND WOLSTENHOLME'S THEOREM." International Journal of Number Theory 09, no. 08 (2013): 2033–52. http://dx.doi.org/10.1142/s1793042113500735.
Full textShen, Erin Y. Y. "Congruences modulo 9 for singular overpartitions." International Journal of Number Theory 13, no. 03 (2017): 717–24. http://dx.doi.org/10.1142/s1793042117500361.
Full textRADU, CRISTIAN-SILVIU, and JAMES A. SELLERS. "CONGRUENCES MODULO SQUARES OF PRIMES FOR FU'S k DOTS BRACELET PARTITIONS." International Journal of Number Theory 09, no. 04 (2013): 939–43. http://dx.doi.org/10.1142/s1793042113500073.
Full textGarvan, F. G. "More cranks and t-cores." Bulletin of the Australian Mathematical Society 63, no. 3 (2001): 379–91. http://dx.doi.org/10.1017/s0004972700019481.
Full textYao, Olivia X. M. "Infinite families of congruences modulo 5 and 7 for the cubic partition function." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149, no. 5 (2019): 1189–205. http://dx.doi.org/10.1017/prm.2018.61.
Full textMeštrović, Romeo. "An Extension of a Congruence by Tauraso." ISRN Combinatorics 2013 (December 25, 2013): 1–7. http://dx.doi.org/10.1155/2013/363724.
Full textCHAN, HENG HUAT, LIUQUAN WANG, and YIFAN YANG. "CONGRUENCES MODULO 5 AND 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS." Journal of the Australian Mathematical Society 103, no. 2 (2016): 157–76. http://dx.doi.org/10.1017/s1446788716000616.
Full textGouri Shankar Guru. "On Congruences Modulo Powers of 2 for (2, 4)-Regular Overpartitions." Advances in Nonlinear Variational Inequalities 28, no. 7s (2025): 24–36. https://doi.org/10.52783/anvi.v28.4481.
Full textYao, Olivia X. M. "Arithmetic properties for Fu's 9 dots bracelet partitions." International Journal of Number Theory 11, no. 04 (2015): 1063–72. http://dx.doi.org/10.1142/s1793042115500566.
Full textJin, Hai-Tao, та Li Zhang. "Ramanujan-type congruences for ℓ-regular partitions modulo 3, 5, 11 and 13". International Journal of Number Theory 13, № 08 (2017): 1995–2006. http://dx.doi.org/10.1142/s179304211750107x.
Full textCUI, SU-PING, and NANCY SHAN SHAN GU. "CONGRUENCES FOR k DOTS BRACELET PARTITION FUNCTIONS." International Journal of Number Theory 09, no. 08 (2013): 1885–94. http://dx.doi.org/10.1142/s1793042113500644.
Full textKohnen, Winfried. "Some Congruences Modulo Primes." Monatshefte f�r Mathematik 127, no. 4 (1999): 321–24. http://dx.doi.org/10.1007/s006050050043.
Full textJAMESON, MARIE. "A REFINEMENT OF RAMANUJAN'S CONGRUENCES MODULO POWERS OF 7 AND 11." International Journal of Number Theory 08, no. 04 (2012): 865–79. http://dx.doi.org/10.1142/s1793042112500510.
Full textShen, Zhongyan. "Congruences Involving Special Sums of Triple Reciprocals." Journal of Mathematics 2024 (February 2, 2024): 1–8. http://dx.doi.org/10.1155/2024/8445635.
Full textGuru, Gouri Shankar, and Yudhisthira Jamudulia. "SOME INFINITE FAMILIES OF CONGRUENCESFOR OVERPARTITIONS WITH RESTRICTEDODD DIFFERENCES." JP Journal of Algebra, Number Theory and Applications 64, no. 5 (2025): 531–45. https://doi.org/10.17654/0972555525027.
Full textAhmed, Zakir, and Nayandeep Deka Baruah. "New congruences for Andrews' singular overpartitions." International Journal of Number Theory 11, no. 07 (2015): 2247–64. http://dx.doi.org/10.1142/s1793042115501018.
Full textLIN, BERNARD L. S., and ANDREW Y. Z. WANG. "GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES." Bulletin of the Australian Mathematical Society 90, no. 2 (2014): 204–12. http://dx.doi.org/10.1017/s0004972714000343.
Full textRosen, Julian. "A general family of congruences for Bernoulli numbers." International Journal of Number Theory 14, no. 07 (2018): 1895–902. http://dx.doi.org/10.1142/s1793042118501129.
Full textStraub, Armin. "Congruences for Fishburn numbers modulo prime powers." International Journal of Number Theory 11, no. 05 (2015): 1679–90. http://dx.doi.org/10.1142/s1793042115400175.
Full textSun, Zhi-Wei, and Donald M. Davis. "Combinatorial congruences modulo prime powers." Transactions of the American Mathematical Society 359, no. 11 (2007): 5525–53. http://dx.doi.org/10.1090/s0002-9947-07-04236-5.
Full textZhao, Li-Lu, and Zhi-Wei Sun. "Some curious congruences modulo primes." Journal of Number Theory 130, no. 4 (2010): 930–35. http://dx.doi.org/10.1016/j.jnt.2009.11.010.
Full textYang, Yining, and Peng Yang. "Congruences for harmonic sums." Notes on Number Theory and Discrete Mathematics 29, no. 1 (2023): 137–46. http://dx.doi.org/10.7546/nntdm.2023.29.1.137-146.
Full textAl-Shaghay, Abdullah, and Karl Dilcher. "Analogues of the binomial coefficient theorems of Gauss and Jacobi." International Journal of Number Theory 12, no. 08 (2016): 2125–45. http://dx.doi.org/10.1142/s179304211650127x.
Full textDas, Sabuj. "“RAMANUJAN’S CONGRUENCES AND DYSON’S CRANK”." International Journal of Research -GRANTHAALAYAH 2, no. 3 (2014): 10–32. http://dx.doi.org/10.29121/granthaalayah.v2.i3.2014.3056.
Full textSabuj, Das. ""RAMANUJAN'S CONGRUENCES AND DYSON'S CRANK"." International Journal of Research - GRANTHAALAYAH 2, no. 3 (2017): 10–32. https://doi.org/10.5281/zenodo.884058.
Full textMEŠTROVIĆ, ROMEO. "AN EXTENSION OF SURY’S IDENTITY AND RELATED CONGRUENCES." Bulletin of the Australian Mathematical Society 85, no. 3 (2011): 482–96. http://dx.doi.org/10.1017/s0004972711002826.
Full textXIA, ERNEST X. W., and OLIVIA X. M. YAO. "CONGRUENCES MODULO POWERS OF 2 FOR FU’S 5 DOTS BRACELET PARTITIONS." Bulletin of the Australian Mathematical Society 89, no. 3 (2013): 360–72. http://dx.doi.org/10.1017/s0004972713000737.
Full textElkhiri, Laid, Miloud Mihoubi, and Abdellah Derbal. "Congruences involving alternating sums related to harmonic numbers and binomial coefficients." Notes on Number Theory and Discrete Mathematics 26, no. 4 (2020): 39–51. http://dx.doi.org/10.7546/nntdm.2020.26.4.39-51.
Full textMcCoy, Megan, Kevin Thielen, Liuquan Wang, and Jianqiang Zhao. "A family of super congruences involving multiple harmonic sums." International Journal of Number Theory 13, no. 01 (2016): 109–28. http://dx.doi.org/10.1142/s1793042117500075.
Full textLiu, Eric H., and Wenjing Du. "Arithmetic properties for Andrews’ (48,6)- and (48,18)-singular overpartitions." Open Mathematics 17, no. 1 (2019): 356–64. http://dx.doi.org/10.1515/math-2019-0026.
Full textWagstaff, Samuel S. "Congruences for rs(n) modulo 2s." Journal of Number Theory 127, no. 2 (2007): 326–29. http://dx.doi.org/10.1016/j.jnt.2007.05.002.
Full textHESSAMI PILEHROOD, KH, T. HESSAMI PILEHROOD, and R. TAURASO. "CONGRUENCES CONCERNING JACOBI POLYNOMIALS AND APÉRY-LIKE FORMULAE." International Journal of Number Theory 08, no. 07 (2012): 1789–811. http://dx.doi.org/10.1142/s1793042112501035.
Full textSugandha, Agus, and Irfan Azkamahendra. "General and Recursive Forms of Catalan Numbers and Modulo Prime Catalan Numbers to the Power of Positive Integers." Perwira Journal of Science & Engineering 2, no. 2 (2022): 15–20. http://dx.doi.org/10.54199/pjse.v2i2.133.
Full textRay, Chiranjit, and Rupam Barman. "Infinite families of congruences for k-regular overpartitions." International Journal of Number Theory 14, no. 01 (2017): 19–29. http://dx.doi.org/10.1142/s1793042118500021.
Full textMahadeva Naika, M. S., and C. Shivashankar. "Congruences for Andrews singular overpartition pairs." International Journal of Number Theory 14, no. 04 (2018): 989–1008. http://dx.doi.org/10.1142/s1793042118500586.
Full textGARVAN, FRANK G., and CHRIS JENNINGS-SHAFFER. "HECKE-TYPE CONGRUENCES FOR ANDREWS' SPT-FUNCTION MODULO 16 AND 32." International Journal of Number Theory 10, no. 02 (2014): 375–90. http://dx.doi.org/10.1142/s1793042113500991.
Full textGuo, Victor, and Michael Schlosser. "Some New q-Congruences for Truncated Basic Hypergeometric Series." Symmetry 11, no. 2 (2019): 268. http://dx.doi.org/10.3390/sym11020268.
Full textLIN, BERNARD L. S., JIAN LIU, ANDREW Y. Z. WANG, and JIEJUAN XIAO. "INFINITE FAMILIES OF CONGRUENCES FOR OVERPARTITIONS WITH RESTRICTED ODD DIFFERENCES." Bulletin of the Australian Mathematical Society 102, no. 1 (2020): 59–66. http://dx.doi.org/10.1017/s0004972719001254.
Full textPuneeth, V., та Anirban Roy. "FAMILY OF CONGRUENCES FOR (2, β) REGULAR BIPARTITION TRIPLES". South East Asian J. of Mathematics and Mathematical Sciences 18, № 03 (2022): 01–14. http://dx.doi.org/10.56827/seajmms.2022.1803.1.
Full textCui, Su-Ping, Wen Xiang Gu, and Zhen Sheng Ma. "Congruences for partitions with odd parts distinct modulo 5." International Journal of Number Theory 11, no. 07 (2015): 2151–59. http://dx.doi.org/10.1142/s1793042115500943.
Full textYAO, OLIVIA X. M. "INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES." Bulletin of the Australian Mathematical Society 91, no. 1 (2014): 47–52. http://dx.doi.org/10.1017/s0004972714000586.
Full textAdansie, Prince, Shane Chern, and Ernest X. W. Xia. "New infinite families of congruences for the number of tagged parts over partitions with designated summands." International Journal of Number Theory 14, no. 07 (2018): 1935–42. http://dx.doi.org/10.1142/s1793042118501154.
Full textShen, Zhongyan, та Tianxin Cai. "Congruences involving alternating harmonic sums modulo pα qβ". Mathematica Slovaca 68, № 5 (2018): 975–80. http://dx.doi.org/10.1515/ms-2017-0159.
Full textWang, Yunpeng, and Jizhen Yang. "Modulo $p^2$ congruences involving harmonic numbers." Annales Polonici Mathematici 121, no. 3 (2018): 263–78. http://dx.doi.org/10.4064/ap180401-12-9.
Full textCochrane, Todd. "Small zeros of quadratic congruences modulo pq." Mathematika 37, no. 2 (1990): 261–72. http://dx.doi.org/10.1112/s0025579300012985.
Full textZhang, Li. "Ramanujan-type congruences for overpartitions modulo $3$." Rocky Mountain Journal of Mathematics 50, no. 6 (2020): 2257–64. http://dx.doi.org/10.1216/rmj.2020.50.2257.
Full textMAHADEVA NAIKA, M. S., B. HEMANTHKUMAR, and H. S. SUMANTH BHARADWAJ. "CONGRUENCES MODULO 2 FOR CERTAIN PARTITION FUNCTIONS." Bulletin of the Australian Mathematical Society 93, no. 3 (2015): 400–409. http://dx.doi.org/10.1017/s0004972715001367.
Full textSun, Zhi-Hong. "Cubic and quartic congruences modulo a prime." Journal of Number Theory 102, no. 1 (2003): 41–89. http://dx.doi.org/10.1016/s0022-314x(03)00067-2.
Full textLin, Bernard L. S. "Congruences modulo 27 for cubic partition pairs." Journal of Number Theory 171 (February 2017): 31–42. http://dx.doi.org/10.1016/j.jnt.2016.07.012.
Full textChen, William Y. C., Lisa H. Sun, Rong-Hua Wang, and Li Zhang. "Ramanujan-type congruences for overpartitions modulo 5." Journal of Number Theory 148 (March 2015): 62–72. http://dx.doi.org/10.1016/j.jnt.2014.09.017.
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