International Journal of Number Theory v.7 n.1 2011

ISSN 1793-0421

INFINITE HILBERT CLASS FIELD TOWERS FROM GALOIS REPRESENTATIONS KIRTI JOSHI and CAMERON MCLEMAN DOI No: 10.1142/S1793042111003879  Page: 1-8      Abstract | Full Text (PDF, 177KB) | References

A COMPLETE DESCRIPTION OF MAXIMAL SOLUTIONS OF FUNCTIONAL EQUATIONS ARISING FROM MULTIPLICATION OF QUANTUM INTEGERS LAN NGUYEN DOI No: 10.1142/S1793042111003909  Page: 9-56      Abstract | Full Text (PDF, 492KB) | References

A PRECISE DESCRIPTION OF THE p-ADIC VALUATION OF THE NUMBER OF ALTERNATING SIGN MATRICES CLEMENS HEUBERGER and HELMUT PRODINGER DOI No: 10.1142/S1793042111003892  Page: 57-69      Abstract | Full Text (PDF, 328KB) | References

ON THE FIFTH-POWER MOMENT OF Δ(x) DEYU ZHANG and WENGUANG ZHAI DOI No: 10.1142/S1793042111003922  Page: 71-86      Abstract | Full Text (PDF, 214KB) | References

THE FRACTIONAL GALOIS IDEAL FOR ARBITRARY ORDER OF VANISHING PAUL BUCKINGHAM DOI No: 10.1142/S1793042111004010  Page: 87-99      Abstract | Full Text (PDF, 234KB) | References

GAUSS AND KLOOSTERMAN SUMS OVER RESIDUE RINGS OF ALGEBRAIC INTEGERS S. GURAK DOI No: 10.1142/S1793042111003958  Page: 101-114      Abstract | Full Text (PDF, 244KB) | References

RATIONAL POINTS ON SOME HYPER- AND SUPERELLIPTIC CURVES ANDREW BREMNER and MACIEJ ULAS DOI No: 10.1142/S1793042111003946  Page: 115-132      Abstract | Full Text (PDF, 266KB) | References

COMBINATORIAL PROOF OF ONE CONGRUENCE FOR THE BROKEN 1-DIAMOND PARTITION AND A GENERALIZATION SHISHUO FU DOI No: 10.1142/S1793042111004022  Page: 133-144      Abstract | Full Text (PDF, 216KB) | References

THE MULTIPLICATIVE ORDERS OF CERTAIN GAUSS FACTORIALS JOHN B. COSGRAVE and KARL DILCHER DOI No: 10.1142/S179304211100396X  Page: 145-171      Abstract | Full Text (PDF, 353KB) | References

GALOIS THEORY OF THE CANONICAL THETA STRUCTURE ROBERT CARLS DOI No: 10.1142/S1793042111003934  Page: 173-202      Abstract | Full Text (PDF, 400KB) | References

MEMORY EFFICIENT HYPERELLIPTIC CURVE POINT COUNTING HENDRIK HUBRECHTS DOI No: 10.1142/S1793042111004034  Page: 203-214      Abstract | Full Text (PDF, 230KB) | References

SYMMETRY OF k-MARKED DURFEE SYMBOLS CILANNE BOULET and KAĞAN KURŞUNGÖZ DOI No: 10.1142/S1793042111003971  Page: 215-230      Abstract | Full Text (PDF, 219KB) | References

RÉDEI FIELDS AND DYADIC EXTENSIONS DAVID BRINK DOI No: 10.1142/S1793042111003983  Page: 231-240      Abstract | Full Text (PDF, 195KB) | References

A WEIGHTED WEYL LAW FOR THE MODULAR SURFACE XIAOQING LI DOI No: 10.1142/S1793042111003995  Page: 241-248      Abstract | Full Text (PDF, 147KB) | References

ORTHOGONAL SYSTEMS OF MODULAR FORMS AND SUPERSINGULAR POLYNOMIALS SRINATH BABA and HÅKAN GRANATH DOI No: 10.1142/S1793042111004009  Page: 249-259      Abstract | Full Text (PDF, 186KB) | References