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Parity results for 25-regular partitions

Web[2] Parity results for 5-regular partitions 59 We also prove infinitely many new Ramanujan-type congruences for b5.n/, of which the ‘smallest’ is b5.1156n C65/ 0 .mod 2/; and we … WebI live in Toronto and have been passionate about programming and tech all my life. Not working professionally at the moment (for quite some time actually to be honest), I keep …

Arithmetic properties of ℓ-regular partitions - ScienceDirect

Web1 May 2014 · Parity results for 9-regular partitions Ernest X. W. Xia, Olivia X. M. Yao Published 1 May 2014 Mathematics The Ramanujan Journal Let t≥2 be an integer. We say … terrano kakegurui https://workdaysydney.com

Parity of the coefficients of certain eta-quotients - ScienceDirect

Web24 Jul 2024 · The purpose of this note is to introduce a new approach to the study of one of the most basic and seemingly intractable problems in partition theory, namely, the … Webformulas do exist for other partition functions whose parts are the members of certain residue classes of a given modulus. In [1] two such results were established, namely: (1) … Web1 Feb 2024 · Motivated by Ramanujan's work, the arithmetic properties of partitions with certain restrictions have received a great deal of attention, such as t-regular partition. Recall that for a positive integer t≥2, a partition is said to be t-regular if none of its parts is divisible by t. Let bt(n)denote the number of t-regular partitions of n. terraosave

ARITHMETIC PROPERTIES OF $(k,\ell )$ -REGULAR BIPARTITIONS

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Parity results for 25-regular partitions

New parity results of sums of partitions and squares in arithmetic ...

WebWe find infinitely many Ramanujan-type congruences for b5 (n), and we prove the striking result that the number of 5-regular partitions of the number n is even for at least 75% of … Web2 Jul 2009 · In a recent paper, Calkin et al. [N. Calkin, N. Drake, K. James, S. Law, P. Lee, D. Penniston and J. Radder, ‘Divisibility properties of the 5-regular and 13-regular partition …

Parity results for 25-regular partitions

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WebRecently, Andrews introduced the partition function C ¯ k, i ( n) as the number of overpartitions of n in which no part is divisible by k and only parts ≡ ± i ( mod k) may be overlined. He proved that C ¯ 3, 1 ( 9 n + 3) and C ¯ 3, 1 ( 9 n + 6) are divisible by 3. Let A ¯ l ( n) be the number of overpartitions of n into parts not divisible by l. Web12 Sep 2013 · Recently, Furcy and Penniston [8] discovered some congruences modulo 3 for b (n) for some l Parity results for 9-regular partitions 111 values of l. The reader …

Web1 Dec 2016 · ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS - Volume 95 Issue 3. To save this article to your Kindle, first ensure [email protected] is added to … WebCertain Diophantine equations and new parity results for 21-regular partitions (under review) (with Ajit Singh and Gurinder Singh) 63. Cliques of orders three and four in the Paley-type graphs (under review) (with Anwita) 62. Hypergeometric functions for Dirichlet characters and Peisert-like graphs (under review) (with Anwita) 61.

WebLet bℓ(n) denote the number of ℓ-regular partitions of n, where ℓ is prime and 3 ≤ ℓ ≤ 23. ... Parity results for 13-regular partitions and broken 6-diamond partitions. Donna Q. J. Dou, Litao Guo and Bernard L. S. Lin. 24 October 2016 The Ramanujan Journal, Vol. 44, No. 3 ... 25 April 2024 Acta Mathematica Vietnamica, Vol. 42 ... WebCertain Diophantine equations and new parity results for 21-regular partitions (under review) (with Ajit Singh and Gurinder Singh) 63. Cliques of orders three and four in the Paley-type …

WebIn this paper we give a collection of parity results for partition functions of the form n E=- S -00 and [1 (1 -Xn)-- (Xe(n) + Xf(n)) (mod 2) ... 1986 and June 25, 1986. 1980 Mathematics …

Web14 Feb 2024 · Very recently, Keith and Zanello investigated the parity of the coefficients of certain eta-quotients and proved new parity results for b t (n). In particular, they … robinson crusoe kniha rozborWeb1 Sep 2013 · A partition of a positive integer n is a nonincreasing sequence of positive integers whose sum is n. Let p (n) denote the number of partitions of n. If ℓ is a positive … robinson crusoe koliko godina je bio na otokuWeb27 Aug 2014 · A NEW CONGRUENCE MODULO 25 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS ERNEST X. W. XIA Bulletin of the Australian Mathematical Society Published online: 8 October 2014 Article INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR 4-CORES NAYANDEEP DEKA BARUAH and KALLOL NATH Bulletin of the Australian … terrapinn middle eastWebParity Results for 25-Regular Partitions. Let m ≥ 2 be a positive integer. An m-regular part. 通过 文献互助 平台发起求助，成功后即可免费获取论文全文。. robinson crusoe komiksWebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We consider the partition function b ′ p(n), which counts the num-ber of partitions of the integer n into … terrapin luau krunkles abvWebCERTAIN DIOPHANTINE EQUATIONS AND NEW PARITY RESULTS FOR 21-REGULAR PARTITIONS AJIT SINGH, GURINDER SINGH, AND RUPAM BARMAN Abstract. For a … terraoleaWebP(n), sometimes also denoted p(n) (Abramowitz and Stegun 1972, p. 825; Comtet 1974, p. 94; Hardy and Wright 1979, p. 273; Conway and Guy 1996, p. 94; Andrews 1998, p. 1), … robinson jeep salem