AbstractA congruence for Jacobi sums of orderkover finite fields is proved, which generalizes a congruence of Iwasawa (1975) for primekand Ihara (1986) for prime powerk. Related congruences for Jacobi sums are also presented. The techniques are elementary and self-contained, in contrast with the deep methods of Iwasawa and Ihara
AbstractWe prove congruences of shape Ek+h≡Ek·Eh (mod N) modulo powers N of small prime numbers p, t...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
AbstractLet Zp be the finite field of prime order p and A be a subsequence of Zp. We prove several c...
AbstractA congruence for Jacobi sums of orderkover finite fields is proved, which generalizes a cong...
Let p > 5 be a prime. We prove congruences modulo p(3-d) for sums of the general form Sigma((p -3)/2...
AbstractWe extend the methods of our previous article to express special values of p-adic hypergeome...
AbstractLet l be an odd prime number and p, q be two prime numbers ≡ 1 (mod l). If χ, χ′ (resp. ψ, ψ...
In this note, certain congruences for Gauss sums over the finite field GF (pf) are studied. Especial...
AbstractIn this paper we will prove some congruences of the form ampr ≡ A· ampr−1 mod p2r where p is...
Abstract. We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
AbstractIn this paper we study the Jacobi sums over a ring of residues modulo a prime power and obta...
Let p be an odd prime and Fq be the field of q = p2 elements. We consider the Jacobi sum over Fq: J(...
AbstractIn a previous paper [J. Number Theory, 39 (1991), 50-64], we obtained a basic relationship b...
AbstractWe prove congruences of shape Ek+h≡Ek·Eh (mod N) modulo powers N of small prime numbers p, t...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
AbstractLet Zp be the finite field of prime order p and A be a subsequence of Zp. We prove several c...
AbstractA congruence for Jacobi sums of orderkover finite fields is proved, which generalizes a cong...
Let p > 5 be a prime. We prove congruences modulo p(3-d) for sums of the general form Sigma((p -3)/2...
AbstractWe extend the methods of our previous article to express special values of p-adic hypergeome...
AbstractLet l be an odd prime number and p, q be two prime numbers ≡ 1 (mod l). If χ, χ′ (resp. ψ, ψ...
In this note, certain congruences for Gauss sums over the finite field GF (pf) are studied. Especial...
AbstractIn this paper we will prove some congruences of the form ampr ≡ A· ampr−1 mod p2r where p is...
Abstract. We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate...
Text. We prove congruences, modulo a power of a prime p, for certain finite sums involving central b...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
AbstractIn this paper we study the Jacobi sums over a ring of residues modulo a prime power and obta...
Let p be an odd prime and Fq be the field of q = p2 elements. We consider the Jacobi sum over Fq: J(...
AbstractIn a previous paper [J. Number Theory, 39 (1991), 50-64], we obtained a basic relationship b...
AbstractWe prove congruences of shape Ek+h≡Ek·Eh (mod N) modulo powers N of small prime numbers p, t...
AbstractLet K be the cyclotomic field of the mth roots of unity in some fixed algebraic closure of Q...
AbstractLet Zp be the finite field of prime order p and A be a subsequence of Zp. We prove several c...
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