奇模剩余类满秩的分布
Distribution of the full rank in residue classes for odd moduli
摘要：
在素数和非素数的等差数列中检验了满秩的有标记的Durfee符号的值的分布。对于相同的模，不同的残基的相对种群被确定：主要的结果是，如果gcd（a，2k+1）=gcd（b，2k +1），则n的k标记的Durfee符号相等地填充残基类a和b mod 2k +1。它们被用来构造一些同余式。一般程序说明了一个特殊的定理4标记符号的倍数3。
英文摘要：
The distribution of values of the full ranks of marked Durfee symbols is examined in prime and nonprime arithmetic progressions. The relative populations of different residues for the same modulus are determined: the primary result is that k-marked Durfee symbols of n equally populate the residue classes a and b mod 2k+1 if gcd(a,2k+1)=gcd(b,2k+1). These are used to construct a few congruences. The general procedure is illustrated with a particular theorem on 4-marked symbols for multiples of 3.
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