New nonexistence theorems for type [n,q] generalized bent functions when q=2 p1^e1 p2^e2 (under congruence conditions) and when q=2·3^a·7^b (for all a,b and n=1) via extended element partition method.
Washington.Introduction to cyclotomic fields, volume 83 ofGraduate Texts in Mathematics
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Ramanujan's tau function is represented by an infinite family of convolution sums of twisted divisor functions obtained by explicitly constructing non-vanishing level-1 cusp forms from higher-level modular forms.
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Representation of Ramanujan's tau function by twisted divisor functions
Ramanujan's tau function is represented by an infinite family of convolution sums of twisted divisor functions obtained by explicitly constructing non-vanishing level-1 cusp forms from higher-level modular forms.