AbstractG. Andrews proved that if n is a prime number then the coefficients ak and ak+n of the product (q,q)∞/(qn,qn)∞=∑kakqk have the same sign, see [G. Andrews, On a conjecture of Peter Borwein, J. Symbolic Comput. 20 (1995) 487–501]. We generalize this result in several directions. Our results are based on the observation that many products can be written as alternating sums of characters of Virasoro modules
AbstractLet S(k) = Σn=1p−1(np)nk where p is a prime ≡ 3 mod 4 and k is an integer ≥ 3. Then S(k) fre...
Let u? be an integer of multiplicative order t ? 1 modulo a prime p. Sums of the form Sf (p, t, a) =...
Let n be a positive integer different of 1. We define the integer sequence q(n) where q(n) is the nu...
AbstractG. Andrews proved that if n is a prime number then the coefficients ak and ak+n of the produ...
We investigate linear combinations of characters for minimal Virasoro models which are representable...
We investigate linear combinations of characters for minimal Virasoro models which are representable...
We show that, for a certain class of partitions and an even number of variables of which half are re...
We prove that the Kloosterman sum $$S(1,1;c)$$ S ( 1 , 1 ; c ) changes sign infinitely often as $$c$...
In the last years, the theorem of Weil on multiplicative character sums has been very frequently use...
Representation of a non zero integer as a signed product of primes is unique similarly to its repres...
In memory of my sister Fedra Marina Jakimczuk (1970-2010). Let αm(n) be the sum of the reciprocal of...
31 pages, v3: added connection with the Kac-Peterson character formula, added references, improved r...
We give a new existence criterion for p-ary sequences which have ideal two-level autocorrelation; an...
AbstractWe confirm several conjectures of Guo, Jouhet and Zeng concerning the factors of alternating...
AbstractIn the last years, the theorem of Weil on multiplicative character sums has been very freque...
AbstractLet S(k) = Σn=1p−1(np)nk where p is a prime ≡ 3 mod 4 and k is an integer ≥ 3. Then S(k) fre...
Let u? be an integer of multiplicative order t ? 1 modulo a prime p. Sums of the form Sf (p, t, a) =...
Let n be a positive integer different of 1. We define the integer sequence q(n) where q(n) is the nu...
AbstractG. Andrews proved that if n is a prime number then the coefficients ak and ak+n of the produ...
We investigate linear combinations of characters for minimal Virasoro models which are representable...
We investigate linear combinations of characters for minimal Virasoro models which are representable...
We show that, for a certain class of partitions and an even number of variables of which half are re...
We prove that the Kloosterman sum $$S(1,1;c)$$ S ( 1 , 1 ; c ) changes sign infinitely often as $$c$...
In the last years, the theorem of Weil on multiplicative character sums has been very frequently use...
Representation of a non zero integer as a signed product of primes is unique similarly to its repres...
In memory of my sister Fedra Marina Jakimczuk (1970-2010). Let αm(n) be the sum of the reciprocal of...
31 pages, v3: added connection with the Kac-Peterson character formula, added references, improved r...
We give a new existence criterion for p-ary sequences which have ideal two-level autocorrelation; an...
AbstractWe confirm several conjectures of Guo, Jouhet and Zeng concerning the factors of alternating...
AbstractIn the last years, the theorem of Weil on multiplicative character sums has been very freque...
AbstractLet S(k) = Σn=1p−1(np)nk where p is a prime ≡ 3 mod 4 and k is an integer ≥ 3. Then S(k) fre...
Let u? be an integer of multiplicative order t ? 1 modulo a prime p. Sums of the form Sf (p, t, a) =...
Let n be a positive integer different of 1. We define the integer sequence q(n) where q(n) is the nu...
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